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102243987380000 = 255412953394673
BaseRepresentation
bin10111001111110110001000…
…100011000101011100100000
3111102000102121021110111022102
4113033312020203011130200
5101400131141232130000
61001242123412025532
730351612215150564
oct2717661043053440
9442012537414272
10102243987380000
112a63a482420874
12b5736a06022a8
134508749ba218b
141b368c773b6a4
15bc49027d93d5
hex5cfd888c5720

102243987380000 has 120 divisors (see below), whose sum is σ = 251555602024188. Its totient is φ = 40894333952000.

The previous prime is 102243987379997. The next prime is 102243987380069. The reversal of 102243987380000 is 83789342201.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 2433737281936 + 99810250098064 = 1560044^2 + 9990508^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 258862664 + ... + 259257336.

Almost surely, 2102243987380000 is an apocalyptic number.

102243987380000 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 102243987380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125777801012094).

102243987380000 is an abundant number, since it is smaller than the sum of its proper divisors (149311614644188).

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

102243987380000 is an equidigital number, since it uses as much as digits as its factorization.

102243987380000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407656 (or 407633 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The spelling of 102243987380000 in words is "one hundred two trillion, two hundred forty-three billion, nine hundred eighty-seven million, three hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 12953 20000 25906 51812 64765 103624 129530 207248 259060 323825 394673 414496 518120 647650 789346 1036240 1295300 1578692 1619125 1973365 2072480 2590600 3157384 3238250 3946730 5181200 6314768 6476500 7893460 8095625 9866825 10362400 12629536 12953000 15786920 16191250 19733650 25906000 31573840 32382500 39467300 49334125 51812000 63147680 64765000 78934600 98668250 129530000 157869200 197336500 246670625 259060000 315738400 394673000 493341250 789346000 986682500 1578692000 1973365000 3946730000 5112199369 7893460000 10224398738 20448797476 25560996845 40897594952 51121993690 81795189904 102243987380 127804984225 163590379808 204487974760 255609968450 408975949520 511219936900 639024921125 817951899040 1022439873800 1278049842250 2044879747600 2556099684500 3195124605625 4089759495200 5112199369000 6390249211250 10224398738000 12780498422500 20448797476000 25560996845000 51121993690000 102243987380000