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31300400124 = 22327231195689
BaseRepresentation
bin11101001001101001…
…100011001111111100
32222210101020001222200
4131021221203033330
51003100400300444
622213524111500
72155440003600
oct351151431774
988711201880
1031300400124
1112302294984
126096535590
132c4a910226
14172d031500
15c32d97969
hex749a633fc

31300400124 has 108 divisors (see below), whose sum is σ = 92083773600. Its totient is φ = 8938532736.

The previous prime is 31300400123. The next prime is 31300400141. The reversal of 31300400124 is 42100400313.

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 = 31300400097 and 31300400106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31300400123) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5499072 + ... + 5504760.

Almost surely, 231300400124 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 31300400124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46041886800).

31300400124 is an abundant number, since it is smaller than the sum of its proper divisors (60783373476).

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

31300400124 is a wasteful number, since it uses less digits than its factorization.

31300400124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8832 (or 8820 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 31300400124 its reverse (42100400313), we get a palindrome (73400800437).

The spelling of 31300400124 in words is "thirty-one billion, three hundred million, four hundred thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 3119 5689 6238 9357 11378 12476 17067 18714 21833 22756 28071 34134 37428 39823 43666 51201 56142 65499 68268 79646 87332 102402 112284 119469 130998 152831 159292 196497 204804 238938 261996 278761 305662 358407 392994 458493 477876 557522 611324 716814 785988 836283 916986 1115044 1375479 1433628 1672566 1833972 2508849 2750958 3345132 5017698 5501916 10035396 17743991 35487982 53231973 70975964 106463946 124207937 159695919 212927892 248415874 319391838 372623811 496831748 638783676 745247622 869455559 1117871433 1490495244 1738911118 2235742866 2608366677 3477822236 4471485732 5216733354 7825100031 10433466708 15650200062 31300400124