Search a number
-
+
10031223211020 = 223251114393520691
BaseRepresentation
bin1001000111111001001101…
…1111110000010000001100
31022111222100012012201021100
42101332103133300100030
52303322421120223040
633200140314503100
72053506030303114
oct221762337602014
938458305181240
1010031223211020
113218243a97650
121160150434a90
13579c2ba8090b
14269729bca044
15125e0613eb30
hex91f937f040c

10031223211020 has 144 divisors (see below), whose sum is σ = 33217306536960. Its totient is φ = 2430121065600.

The previous prime is 10031223210971. The next prime is 10031223211039. The reversal of 10031223211020 is 2011232213001.

10031223211020 is a `hidden beast` number, since 1 + 0 + 0 + 312 + 2 + 321 + 10 + 20 = 666.

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 = 10031223210984 and 10031223211002.

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, 1088875 + ... + 4609565.

It is an arithmetic number, because the mean of its divisors is an integer number (230675739840).

Almost surely, 210031223211020 is an apocalyptic number.

10031223211020 is a gapful number since it is divisible by the number (10) 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 10031223211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16608653268480).

10031223211020 is an abundant number, since it is smaller than the sum of its proper divisors (23186083325940).

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

10031223211020 is a wasteful number, since it uses less digits than its factorization.

10031223211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522156 (or 3522151 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10031223211020 its reverse (2011232213001), we get a palindrome (12042455424021).

It can be divided in two parts, 100312 and 23211020, that added together give a palindrome (23311332).

The spelling of 10031223211020 in words is "ten trillion, thirty-one billion, two hundred twenty-three million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1439 1980 2878 4317 5756 7195 8634 12951 14390 15829 17268 21585 25902 28780 31658 43170 47487 51804 63316 64755 79145 86340 94974 129510 142461 158290 189948 237435 259020 284922 316580 474870 569844 712305 949740 1424610 2849220 3520691 7041382 10562073 14082764 17603455 21124146 31686219 35206910 38727601 42248292 52810365 63372438 70413820 77455202 105620730 116182803 126744876 154910404 158431095 193638005 211241460 232365606 316862190 348548409 387276010 464731212 580914015 633724380 697096818 774552020 1161828030 1394193636 1742742045 2323656060 3485484090 5066274349 6970968180 10132548698 15198823047 20265097396 25331371745 30397646094 45596469141 50662743490 55729017839 60795292188 75994115235 91192938282 101325486980 111458035678 151988230470 167187053517 182385876564 222916071356 227982345705 278645089195 303976460940 334374107034 455964691410 501561160551 557290178390 668748214068 835935267585 911929382820 1003122321102 1114580356780 1671870535170 2006244642204 2507805802755 3343741070340 5015611605510 10031223211020