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125431230311320 = 235311311395555177
BaseRepresentation
bin11100100001010000111011…
…111011010010101110011000
3121110010002221002210201120111
4130201100323323102232120
5112420031124424430240
61122434151155334104
735264051550130543
oct3441207373225630
9543102832721514
10125431230311320
1136a6a0a458620a
12120994b52b1334
1354cb16406c40b
1422d8c925a385a
15e77b4a3c11ea
hex72143bed2b98

125431230311320 has 128 divisors (see below), whose sum is σ = 295659905587200. Its totient is φ = 47836731571200.

The previous prime is 125431230311281. The next prime is 125431230311323. The reversal of 125431230311320 is 23113032134521.

It is a super-2 number, since 2×1254312303113202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125431230311323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19801572 + ... + 25356748.

It is an arithmetic number, because the mean of its divisors is an integer number (2309843012400).

Almost surely, 2125431230311320 is an apocalyptic number.

125431230311320 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 125431230311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147829952793600).

125431230311320 is an abundant number, since it is smaller than the sum of its proper divisors (170228675275880).

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

125431230311320 is a wasteful number, since it uses less digits than its factorization.

125431230311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5555489 (or 5555485 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 125431230311320 its reverse (23113032134521), we get a palindrome (148544262445841).

The spelling of 125431230311320 in words is "one hundred twenty-five trillion, four hundred thirty-one billion, two hundred thirty million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 131 139 155 248 262 278 310 524 556 620 655 695 1048 1112 1240 1310 1390 2620 2780 4061 4309 5240 5560 8122 8618 16244 17236 18209 20305 21545 32488 34472 36418 40610 43090 72836 81220 86180 91045 145672 162440 172360 182090 364180 564479 728360 1128958 2257916 2822395 4515832 5555177 5644790 11110354 11289580 22220708 22579160 27775885 44441416 55551770 111103540 172210487 222207080 344420974 688841948 727728187 772169603 861052435 1377683896 1455456374 1544339206 1722104870 2910912748 3088678412 3444209740 3638640935 3860848015 5821825496 6177356824 6888419480 7277281870 7721696030 14554563740 15443392060 22559573797 23937257693 29109127480 30886784120 45119147594 47874515386 90238295188 95749030772 101154217993 112797868985 119686288465 180476590376 191498061544 202308435986 225595737970 239372576930 404616871972 451191475940 478745153860 505771089965 809233743944 902382951880 957490307720 1011542179930 2023084359860 3135780757783 4046168719720 6271561515566 12543123031132 15678903788915 25086246062264 31357807577830 62715615155660 125431230311320