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31010102144 = 277148123369
BaseRepresentation
bin11100111000010110…
…001001101110000000
32222001010222102000122
4130320112021232000
51002002041232034
622125034035412
72145313343030
oct347026115600
988033872018
1031010102144
111217343779a
126015278b68
132c0272b488
1417026658c0
15c1765362e
hex738589b80

31010102144 has 64 divisors (see below), whose sum is σ = 70654053600. Its totient is φ = 13280501760.

The previous prime is 31010102131. The next prime is 31010102171. The reversal of 31010102144 is 44120101013.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1315292 + ... + 1338660.

Almost surely, 231010102144 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 31010102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35327026800).

31010102144 is an abundant number, since it is smaller than the sum of its proper divisors (39643951456).

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

31010102144 is a wasteful number, since it uses less digits than its factorization.

31010102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24871 (or 24859 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 31010102144 its reverse (44120101013), we get a palindrome (75130203157).

The spelling of 31010102144 in words is "thirty-one billion, ten million, one hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 1481 2962 5924 10367 11848 20734 23369 23696 41468 46738 47392 82936 93476 94784 163583 165872 186952 189568 327166 331744 373904 654332 663488 747808 1308664 1326976 1495616 2617328 2991232 5234656 10469312 20938624 34609489 69218978 138437956 242266423 276875912 484532846 553751824 969065692 1107503648 1938131384 2215007296 3876262768 4430014592 7752525536 15505051072 31010102144