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102312232 = 23112947853
BaseRepresentation
bin1100001100100…
…10100100101000
321010111222222221
412012102210220
5202142442412
614052523424
72351432251
oct606224450
9233458887
10102312232
1152830770
122a320574
13182730a9
14d833b28
158eaeb07
hex6192928

102312232 has 64 divisors (see below), whose sum is σ = 221356800. Its totient is φ = 43895040.

The previous prime is 102312227. The next prime is 102312247. The reversal of 102312232 is 232213201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119518 + ... + 120370.

It is an arithmetic number, because the mean of its divisors is an integer number (3458700).

Almost surely, 2102312232 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 102312232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110678400).

102312232 is an abundant number, since it is smaller than the sum of its proper divisors (119044568).

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

102312232 is a wasteful number, since it uses less digits than its factorization.

102312232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 102312232 is about 10114.9509143643. The cubic root of 102312232 is about 467.7091357467.

Adding to 102312232 its reverse (232213201), we get a palindrome (334525433).

It can be divided in two parts, 102312 and 232, that multiplied together give a square (23736384 = 48722).

The spelling of 102312232 in words is "one hundred two million, three hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 29 44 47 58 88 94 116 188 232 319 376 517 638 853 1034 1276 1363 1706 2068 2552 2726 3412 4136 5452 6824 9383 10904 14993 18766 24737 29986 37532 40091 49474 59972 75064 80182 98948 119944 160364 197896 272107 320728 441001 544214 882002 1088428 1162639 1764004 2176856 2325278 3528008 4650556 9301112 12789029 25578058 51156116 102312232