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102315153240 = 2334553995849
BaseRepresentation
bin101111101001001110…
…1010101011101011000
3100210002112000022110000
41133102131111131120
53134020134400430
6115000344453000
710251315311256
oct1372235253530
9323075008400
10102315153240
113a434266a93
12179b517a160
13985735bbc1
144d487155d6
1529dc600e60
hex17d2755758

102315153240 has 160 divisors (see below), whose sum is σ = 344015100000. Its totient is φ = 27274323456.

The previous prime is 102315153139. The next prime is 102315153247. The reversal of 102315153240 is 42351513201.

102315153240 is a `hidden beast` number, since 10 + 2 + 31 + 51 + 532 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102315153247) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17489836 + ... + 17495684.

It is an arithmetic number, because the mean of its divisors is an integer number (2150094375).

Almost surely, 2102315153240 is an apocalyptic number.

102315153240 is a gapful number since it is divisible by the number (10) 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 102315153240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172007550000).

102315153240 is an abundant number, since it is smaller than the sum of its proper divisors (241699946760).

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

102315153240 is a wasteful number, since it uses less digits than its factorization.

102315153240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11271 (or 11258 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 102315153240 its reverse (42351513201), we get a palindrome (144666666441).

The spelling of 102315153240 in words is "one hundred two billion, three hundred fifteen million, one hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 5399 5849 10798 11698 16197 17547 21596 23396 26995 29245 32394 35094 43192 46792 48591 52641 53990 58490 64788 70188 80985 87735 97182 105282 107980 116980 129576 140376 145773 157923 161970 175470 194364 210564 215960 233960 242955 263205 291546 315846 323940 350940 388728 421128 437319 473769 485910 526410 583092 631692 647880 701880 728865 789615 874638 947538 971820 1052820 1166184 1263384 1457730 1579230 1749276 1895076 1943640 2105640 2186595 2368845 2915460 3158460 3498552 3790152 4373190 4737690 5830920 6316920 8746380 9475380 17492760 18950760 31578751 63157502 94736253 126315004 157893755 189472506 252630008 284208759 315787510 378945012 473681265 568417518 631575020 757890024 852626277 947362530 1136835036 1263150040 1421043795 1705252554 1894725060 2273670072 2557878831 2842087590 3410505108 3789450120 4263131385 5115757662 5684175180 6821010216 8526262770 10231515324 11368350360 12789394155 17052525540 20463030648 25578788310 34105051080 51157576620 102315153240