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31424241232131 = 31153139229564449
BaseRepresentation
bin1110010010100100001101…
…01111000110100100000011
311010021010110101211201221020
413021102012233012210003
513104323321223412011
6150500032551400523
76422216664203346
oct711220657064403
9133233411751836
1031424241232131
11a015a44a46890
12363628a983143
13146c3a7305057
147a8d2726845d
1539763b1cb006
hex1c9486bc6903

31424241232131 has 64 divisors (see below), whose sum is σ = 47110351680000. Its totient is φ = 18470183546880.

The previous prime is 31424241232127. The next prime is 31424241232157. The reversal of 31424241232131 is 13123214242413.

It is not a de Polignac number, because 31424241232131 - 22 = 31424241232127 is a prime.

It is a super-2 number, since 2×314242412321312 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 31424241232092 and 31424241232101.

It is not an unprimeable number, because it can be changed into a prime (31424241232121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55390195 + ... + 55954643.

It is an arithmetic number, because the mean of its divisors is an integer number (736099245000).

Almost surely, 231424241232131 is an apocalyptic number.

31424241232131 is a deficient number, since it is larger than the sum of its proper divisors (15686110447869).

31424241232131 is a wasteful number, since it uses less digits than its factorization.

31424241232131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564884.

The product of its digits is 27648, while the sum is 33.

Adding to 31424241232131 its reverse (13123214242413), we get a palindrome (44547455474544).

The spelling of 31424241232131 in words is "thirty-one trillion, four hundred twenty-four billion, two hundred forty-one million, two hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 11 33 53 139 159 229 417 583 687 1529 1749 2519 4587 7367 7557 12137 22101 31831 36411 81037 95493 133507 243111 350141 400521 564449 1050423 1687043 1693347 5061129 6208939 18557473 18626817 29915797 55672419 78458411 89747391 129258821 235375233 329073767 387776463 863042521 987221301 1421847031 2589127563 4158295783 4265541093 6850717513 12474887349 17966976119 20552152539 45741253613 53900928357 75357892643 137223760839 197636737309 226073677929 592910211927 952249734307 2856749202921 10474747077377 31424241232131