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31277117052 = 223253591092549
BaseRepresentation
bin11101001000010000…
…101110111001111100
32222201202102011121200
4131020100232321330
51003023420221202
622211333055500
72155035052116
oct351020567174
988652364550
1031277117052
11122a0131a75
12608a787590
132c45b4a66c
141729cd03b6
15c30ce8e1c
hex74842ee7c

31277117052 has 144 divisors (see below), whose sum is σ = 82702620000. Its totient is φ = 9959459328.

The previous prime is 31277117051. The next prime is 31277117059. The reversal of 31277117052 is 25071177213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31277116998 and 31277117016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31277117051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12269074 + ... + 12271622.

It is an arithmetic number, because the mean of its divisors is an integer number (574323750).

Almost surely, 231277117052 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 31277117052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41351310000).

31277117052 is an abundant number, since it is smaller than the sum of its proper divisors (51425502948).

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

31277117052 is a wasteful number, since it uses less digits than its factorization.

31277117052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The spelling of 31277117052 in words is "thirty-one billion, two hundred seventy-seven million, one hundred seventeen thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 59 106 109 118 159 177 212 218 236 318 327 354 436 477 531 636 654 708 954 981 1062 1308 1908 1962 2124 2549 3127 3924 5098 5777 6254 6431 7647 9381 10196 11554 12508 12862 15294 17331 18762 19293 22941 23108 25724 28143 30588 34662 37524 38586 45882 51993 56286 57879 69324 77172 91764 103986 112572 115758 135097 150391 207972 231516 270194 277841 300782 340843 405291 451173 540388 555682 601564 681686 810582 833523 902346 1022529 1111364 1215873 1353519 1363372 1621164 1667046 1804692 2045058 2431746 2500569 2707038 3067587 3334092 4090116 4863492 5001138 5414076 6135174 7970723 10002276 12270348 14725573 15941446 16392619 23912169 29451146 31882892 32785238 44176719 47824338 49177857 58902292 65570476 71736507 88353438 95648676 98355714 132530157 143473014 147533571 176706876 196711428 265060314 286946028 295067142 530120628 590134284 868808807 1737617614 2606426421 3475235228 5212852842 7819279263 10425705684 15638558526 31277117052