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102312155440 = 24511294009097
BaseRepresentation
bin101111101001001000…
…1111001100100110000
3100210002022101000020101
41133102101321210300
53134013402433230
6115000200322144
710251250654315
oct1372221714460
9323068330211
10102312155440
113a4325a9770
12179b4173354
13985684c561
144d48174d0c
1529dc20caca
hex17d2479930

102312155440 has 80 divisors (see below), whose sum is σ = 268449202080. Its totient is φ = 35921500160.

The previous prime is 102312155423. The next prime is 102312155447. The reversal of 102312155440 is 44551213201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 102312155399 and 102312155408.

It is not an unprimeable number, because it can be changed into a prime (102312155447) 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, 1979029 + ... + 2030068.

It is an arithmetic number, because the mean of its divisors is an integer number (3355615026).

Almost surely, 2102312155440 is an apocalyptic number.

102312155440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102312155440 is an abundant number, since it is smaller than the sum of its proper divisors (166137046640).

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

102312155440 is a wasteful number, since it uses less digits than its factorization.

102312155440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4009150 (or 4009144 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 102312155440 its reverse (44551213201), we get a palindrome (146863368641).

It can be divided in two parts, 102312 and 155440, that added together give a palindrome (257752).

The spelling of 102312155440 in words is "one hundred two billion, three hundred twelve million, one hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 220 232 290 319 440 464 580 638 880 1160 1276 1595 2320 2552 3190 5104 6380 12760 25520 4009097 8018194 16036388 20045485 32072776 40090970 44100067 64145552 80181940 88200134 116263813 160363880 176400268 220500335 232527626 320727760 352800536 441000670 465055252 581319065 705601072 882001340 930110504 1162638130 1278901943 1764002680 1860221008 2325276260 2557803886 3528005360 4650552520 5115607772 6394509715 9301105040 10231215544 12789019430 20462431088 25578038860 51156077720 102312155440