Search a number
-
+
10312203272 = 23722322232
BaseRepresentation
bin10011001101010011…
…11011110000001000
3222121200020012111112
421212221323300020
5132104411001042
64423134145452
7513355165400
oct114651736010
928550205445
1010312203272
114411a73a48
121bb9652288
13c8459b937
146db7d1800
154054cc982
hex266a7bc08

10312203272 has 108 divisors (see below), whose sum is σ = 23618527695. Its totient is φ = 4208406048.

The previous prime is 10312203271. The next prime is 10312203331. The reversal of 10312203272 is 27230221301.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 5156101636 + 5156101636 = 71806^2 + 71806^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=71806.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (10312203271) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46242953 + ... + 46243175.

Almost surely, 210312203272 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 10312203272

10312203272 is an abundant number, since it is smaller than the sum of its proper divisors (13306324423).

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

10312203272 is an equidigital number, since it uses as much as digits as its factorization.

10312203272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

Adding to 10312203272 its reverse (27230221301), we get a palindrome (37542424573).

The spelling of 10312203272 in words is "ten billion, three hundred twelve million, two hundred three thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 23 28 46 49 56 92 98 161 184 196 223 322 392 446 529 644 892 1058 1127 1288 1561 1784 2116 2254 3122 3703 4232 4508 5129 6244 7406 9016 10258 10927 12488 14812 20516 21854 25921 29624 35903 41032 43708 49729 51842 71806 87416 99458 103684 117967 143612 198916 207368 235934 251321 287224 348103 397832 471868 502642 696206 825769 943736 1005284 1143767 1392412 1651538 2010568 2287534 2436721 2784824 3303076 4575068 4873442 5780383 6606152 8006369 9150136 9746884 11560766 16012738 19493768 23121532 26306641 32025476 46243064 52613282 56044583 64050952 105226564 112089166 184146487 210453128 224178332 368292974 448356664 736585948 1289025409 1473171896 2578050818 5156101636 10312203272