Search a number
-
+
10323111312 = 2433191257689
BaseRepresentation
bin10011001110100111…
…00010110110010000
3222122102202101112000
421213103202312100
5132120204030222
64424204034000
7513546666303
oct114723426620
928572671460
1010323111312
114418144358
122001232900
13c8691a8b7
146dd030b3a
154064349ac
hex2674e2d90

10323111312 has 80 divisors (see below), whose sum is σ = 31190712000. Its totient is φ = 3259927296.

The previous prime is 10323111311. The next prime is 10323111361. The reversal of 10323111312 is 21311132301.

10323111312 is a `hidden beast` number, since 10 + 32 + 311 + 1 + 312 = 666.

It is a super-2 number, since 2×103231113122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10323111311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 620637 + ... + 637052.

It is an arithmetic number, because the mean of its divisors is an integer number (389883900).

Almost surely, 210323111312 is an apocalyptic number.

10323111312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10323111312 is an abundant number, since it is smaller than the sum of its proper divisors (20867600688).

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

10323111312 is a wasteful number, since it uses less digits than its factorization.

10323111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257725 (or 1257713 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10323111312 its reverse (21311132301), we get a palindrome (31634243613).

The spelling of 10323111312 in words is "ten billion, three hundred twenty-three million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 8208 1257689 2515378 3773067 5030756 7546134 10061512 11319201 15092268 20123024 22638402 23896091 30184536 33957603 45276804 47792182 60369072 67915206 71688273 90553608 95584364 135830412 143376546 181107216 191168728 215064819 271660824 286753092 382337456 430129638 543321648 573506184 645194457 860259276 1147012368 1290388914 1720518552 2580777828 3441037104 5161555656 10323111312