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23032001131320 = 23351728513960083
BaseRepresentation
bin1010011110010100011100…
…01111101111001100111000
310000112211121202111200120210
411033022032033233030320
511004324014242200240
6120552431044551120
74565002313300646
oct517121617571470
9100484552450523
1023032001131320
11737a8a9217385
1226bb90a6b24a0
13cb0ba695acac
14598a7d270196
1529e1adc3b780
hex14f28e3ef338

23032001131320 has 128 divisors (see below), whose sum is σ = 73186154000640. Its totient is φ = 5778551654400.

The previous prime is 23032001131309. The next prime is 23032001131333. The reversal of 23032001131320 is 2313110023032.

It is a super-2 number, since 2×230320011313202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3835999 + ... + 7796081.

It is an arithmetic number, because the mean of its divisors is an integer number (571766828130).

Almost surely, 223032001131320 is an apocalyptic number.

23032001131320 is a gapful number since it is divisible by the number (20) 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 23032001131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36593077000320).

23032001131320 is an abundant number, since it is smaller than the sum of its proper divisors (50154152869320).

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

23032001131320 is a wasteful number, since it uses less digits than its factorization.

23032001131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3962965 (or 3962961 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 23032001131320 its reverse (2313110023032), we get a palindrome (25345111154352).

The spelling of 23032001131320 in words is "twenty-three trillion, thirty-two billion, one million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 2851 5702 8553 11404 14255 17106 22808 28510 34212 42765 48467 57020 68424 85530 96934 114040 145401 171060 193868 242335 290802 342120 387736 484670 581604 727005 969340 1163208 1454010 1938680 2908020 3960083 5816040 7920166 11880249 15840332 19800415 23760498 31680664 39600830 47520996 59401245 67321411 79201660 95041992 118802490 134642822 158403320 201964233 237604980 269285644 336607055 403928466 475209960 538571288 673214110 807856932 1009821165 1346428220 1615713864 2019642330 2692856440 4039284660 8078569320 11290196633 22580393266 33870589899 45160786532 56450983165 67741179798 90321573064 112901966330 135482359596 169352949495 191933342761 225803932660 270964719192 338705898990 383866685522 451607865320 575800028283 677411797980 767733371044 959666713805 1151600056566 1354823595960 1535466742088 1919333427610 2303200113132 2879000141415 3838666855220 4606400226264 5758000282830 7677333710440 11516000565660 23032001131320