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102165031452 = 223114378722871
BaseRepresentation
bin101111100100110000…
…0101010101000011100
3100202201001112100001210
41133021200222220130
53133213222001302
6114533423104420
710244513303361
oct1371140525034
9322631470053
10102165031452
113a3675512a0
1217972a42110
139832219743
144d327d8468
1529ce34a66c
hex17c982aa1c

102165031452 has 96 divisors (see below), whose sum is σ = 266454042624. Its totient is φ = 30199377600.

The previous prime is 102165031439. The next prime is 102165031469. The reversal of 102165031452 is 254130561201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4455577 + ... + 4478447.

It is an arithmetic number, because the mean of its divisors is an integer number (2775562944).

Almost surely, 2102165031452 is an apocalyptic number.

102165031452 is a gapful number since it is divisible by the number (12) 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 102165031452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133227021312).

102165031452 is an abundant number, since it is smaller than the sum of its proper divisors (164289011172).

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

102165031452 is a wasteful number, since it uses less digits than its factorization.

102165031452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23719 (or 23717 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 102165031452 its reverse (254130561201), we get a palindrome (356295592653).

The spelling of 102165031452 in words is "one hundred two billion, one hundred sixty-five million, thirty-one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 516 787 946 1419 1574 1892 2361 2838 3148 4722 5676 8657 9444 17314 22871 25971 33841 34628 45742 51942 67682 68613 91484 101523 103884 135364 137226 203046 251581 274452 372251 406092 503162 744502 754743 983453 1006324 1116753 1489004 1509486 1966906 2233506 2950359 3018972 3933812 4467012 5900718 10817983 11801436 17999477 21635966 32453949 35998954 43271932 53998431 64907898 71997908 107996862 129815796 197994247 215993724 395988494 593982741 773977511 791976988 1187965482 1547955022 2321932533 2375930964 3095910044 4643865066 8513752621 9287730132 17027505242 25541257863 34055010484 51082515726 102165031452