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31002021230220 = 223251736592768893
BaseRepresentation
bin1110000110010001110000…
…11101100111011010001100
311001202202122011102022120200
413003020320131213122030
513030414114413331340
6145534044255413500
76346551662331555
oct703107035473214
9131682564368520
1031002021230220
119972979844147
123588496224290
13143b62a3a64b1
1479271201732c
1538b678be8330
hex1c323876768c

31002021230220 has 144 divisors (see below), whose sum is σ = 99598446249120. Its totient is φ = 7778770126848.

The previous prime is 31002021230179. The next prime is 31002021230281. The reversal of 31002021230220 is 2203212020013.

31002021230220 is a `hidden beast` number, since 3 + 10 + 0 + 202 + 1 + 230 + 220 = 666.

It is a super-2 number, since 2×310020212302202 (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 = 31002021230193 and 31002021230202.

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, 9812094 + ... + 12580986.

It is an arithmetic number, because the mean of its divisors is an integer number (691655876730).

Almost surely, 231002021230220 is an apocalyptic number.

31002021230220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31002021230220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49799223124560).

31002021230220 is an abundant number, since it is smaller than the sum of its proper divisors (68596425018900).

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

31002021230220 is a wasteful number, since it uses less digits than its factorization.

31002021230220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772584 (or 2772579 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 31002021230220 its reverse (2203212020013), we get a palindrome (33205233250233).

The spelling of 31002021230220 in words is "thirty-one trillion, two billion, twenty-one million, two hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 3659 7318 10977 14636 18295 21954 32931 36590 43908 54885 62203 65862 73180 109770 124406 131724 164655 186609 219540 248812 311015 329310 373218 559827 622030 658620 746436 933045 1119654 1244060 1866090 2239308 2768893 2799135 3732180 5537786 5598270 8306679 11075572 11196540 13844465 16613358 24920037 27688930 33226716 41533395 47071181 49840074 55377860 83066790 94142362 99680148 124600185 141213543 166133580 188284724 235355905 249200370 282427086 423640629 470711810 498400740 564854172 706067715 847281258 941423620 1412135430 1694562516 2118203145 2824270860 4236406290 8472812580 10131379487 20262758974 30394138461 40525517948 50656897435 60788276922 91182415383 101313794870 121576553844 151970692305 172233451279 182364830766 202627589740 303941384610 344466902558 364729661532 455912076915 516700353837 607882769220 688933805116 861167256395 911824153830 1033400707674 1550101061511 1722334512790 1823648307660 2066801415348 2583501769185 3100202123022 3444669025580 5167003538370 6200404246044 7750505307555 10334007076740 15501010615110 31002021230220