Search a number
-
+
31310003212020 = 2232513123710816769
BaseRepresentation
bin1110001111001111011011…
…00111101000111011110100
311002212012120221212000220100
413013213231213220323310
513100440341310241040
6150331341130234100
76411034032101211
oct707475547507364
9132765527760810
1031310003212020
119a81552621515
123618108885930
13146169caa9b50
147a35ab292b08
153946a1ee3b30
hex1c79ed9e8ef4

31310003212020 has 144 divisors (see below), whose sum is σ = 102362036671440. Its totient is φ = 7700846542848.

The previous prime is 31310003212009. The next prime is 31310003212031. The reversal of 31310003212020 is 2021230001313.

31310003212020 is a `hidden beast` number, since 31 + 310 + 0 + 0 + 321 + 2 + 0 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (31310003212009) and next prime (31310003212031).

It can be written as a sum of positive squares in 8 ways, for example, as 5847826659984 + 25462176552036 = 2418228^2 + 5046006^2 .

It is a super-2 number, since 2×313100032120202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31310003211984 and 31310003212002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2513805 + ... + 8302964.

It is an arithmetic number, because the mean of its divisors is an integer number (710847476885).

Almost surely, 231310003212020 is an apocalyptic number.

31310003212020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31310003212020 is an abundant number, since it is smaller than the sum of its proper divisors (71052033459420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31310003212020 is a wasteful number, since it uses less digits than its factorization.

31310003212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10818034 (or 10818029 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31310003212020 its reverse (2021230001313), we get a palindrome (33331233213333).

The spelling of 31310003212020 in words is "thirty-one trillion, three hundred ten billion, three million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 1237 2340 2474 3711 4948 6185 7422 11133 12370 14844 16081 18555 22266 24740 32162 37110 44532 48243 55665 64324 74220 80405 96486 111330 144729 160810 192972 222660 241215 289458 321620 482430 578916 723645 964860 1447290 2894580 10816769 21633538 32450307 43267076 54083845 64900614 97350921 108167690 129801228 140617997 162251535 194701842 216335380 281235994 324503070 389403684 421853991 486754605 562471988 649006140 703089985 843707982 973509210 1265561973 1406179970 1687415964 1947018420 2109269955 2531123946 2812359940 4218539910 5062247892 6327809865 8437079820 12655619730 13380343253 25311239460 26760686506 40141029759 53521373012 66901716265 80282059518 120423089277 133803432530 160564119036 173944462289 200705148795 240846178554 267606865060 347888924578 401410297590 481692357108 521833386867 602115446385 695777849156 802820595180 869722311445 1043666773734 1204230892770 1565500160601 1739444622890 2087333547468 2408461785540 2609166934335 3131000321202 3478889245780 5218333868670 6262000642404 7827500803005 10436667737340 15655001606010 31310003212020