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131001005024 = 25174114939419
BaseRepresentation
bin111101000000001000…
…1001011001111100000
3110112010200111120100222
41322000101023033200
54121242224130044
6140103034102212
712315220112231
oct1720021131740
9415120446328
10131001005024
115061471a00a
122147bb7a968
13c4793a42b6
1464aa3d9088
15361ab928ee
hex1e8044b3e0

131001005024 has 96 divisors (see below), whose sum is σ = 281624364000. Its totient is φ = 59738767360.

The previous prime is 131001004991. The next prime is 131001005029. The reversal of 131001005024 is 420500100131.

It is a super-2 number, since 2×1310010050242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 131001004993 and 131001005011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131001005029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3303587 + ... + 3343005.

It is an arithmetic number, because the mean of its divisors is an integer number (2933587125).

Almost surely, 2131001005024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131001005024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140812182000).

131001005024 is an abundant number, since it is smaller than the sum of its proper divisors (150623358976).

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

131001005024 is a wasteful number, since it uses less digits than its factorization.

131001005024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39636 (or 39628 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 131001005024 its reverse (420500100131), we get a palindrome (551501105155).

The spelling of 131001005024 in words is "one hundred thirty-one billion, one million, five thousand, twenty-four".

Divisors: 1 2 4 8 16 17 32 34 41 68 82 136 149 164 272 298 328 544 596 656 697 1192 1312 1394 2384 2533 2788 4768 5066 5576 6109 10132 11152 12218 20264 22304 24436 39419 40528 48872 78838 81056 97744 103853 157676 195488 207706 315352 415412 630704 670123 830824 1261408 1340246 1616179 1661648 2680492 3232358 3323296 5360984 5873431 6464716 10721968 11746862 12929432 21443936 23493724 25858864 27475043 46987448 51717728 54950086 93974896 99848327 109900172 187949792 199696654 219800344 240810671 399393308 439600688 481621342 798786616 879201376 963242684 1597573232 1926485368 3195146464 3852970736 4093781407 7705941472 8187562814 16375125628 32750251256 65500502512 131001005024