Search a number
-
+
31370941116 = 22331924416263
BaseRepresentation
bin11101001101110110…
…101001001010111100
32222222021221221001000
4131031312221022330
51003221430103431
622224524050300
72160254412504
oct351566511274
988867857030
1031370941116
1112339095419
1260b6093990
132c5c40b068
141738554a04
15c3917d9e6
hex74dda92bc

31370941116 has 96 divisors (see below), whose sum is σ = 85661452800. Its totient is φ = 9900973440.

The previous prime is 31370941099. The next prime is 31370941141. The reversal of 31370941116 is 61114907313.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5005801 + ... + 5012063.

It is an arithmetic number, because the mean of its divisors is an integer number (892306800).

Almost surely, 231370941116 is an apocalyptic number.

31370941116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31370941116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42830726400).

31370941116 is an abundant number, since it is smaller than the sum of its proper divisors (54290511684).

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

31370941116 is a wasteful number, since it uses less digits than its factorization.

31370941116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8736 (or 8728 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 31370941116 in words is "thirty-one billion, three hundred seventy million, nine hundred forty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 2441 4882 6263 7323 9764 12526 14646 18789 21969 25052 29292 37578 43938 46379 56367 65907 75156 87876 92758 112734 118997 131814 139137 169101 185516 225468 237994 263628 278274 338202 356991 417411 475988 556548 676404 713982 834822 1070973 1252233 1427964 1669644 2141946 2504466 3212919 4283892 5008932 6425838 12851676 15287983 30575966 45863949 61151932 91727898 137591847 183455796 275183694 290471677 412775541 550367388 580943354 825551082 871415031 1161886708 1651102164 1742830062 2614245093 3485660124 5228490186 7842735279 10456980372 15685470558 31370941116