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102444201990 = 23251326735319
BaseRepresentation
bin101111101101000100…
…1100111100000000110
3100210102111211200001100
41133122021213200012
53134301203430430
6115021234440530
710254443230554
oct1373211474006
9323374750040
10102444201990
113a4a0099249
1217a30433146
139878003700
144d5b908bd4
1529e8ae2960
hex17da267806

102444201990 has 72 divisors (see below), whose sum is σ = 288419873040. Its totient is φ = 25217030592.

The previous prime is 102444201989. The next prime is 102444201991. The reversal of 102444201990 is 99102444201.

102444201990 is a `hidden beast` number, since 1 + 0 + 2 + 44 + 420 + 199 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102444201989) and next prime (102444201991).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102444201991) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3352450 + ... + 3382869.

It is an arithmetic number, because the mean of its divisors is an integer number (4005831570).

Almost surely, 2102444201990 is an apocalyptic number.

102444201990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102444201990 is an abundant number, since it is smaller than the sum of its proper divisors (185975671050).

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

102444201990 is a wasteful number, since it uses less digits than its factorization.

102444201990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6735358 (or 6735342 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 102444201990 in words is "one hundred two billion, four hundred forty-four million, two hundred one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 845 1014 1170 1521 1690 2535 3042 5070 7605 15210 6735319 13470638 20205957 33676595 40411914 60617871 67353190 87559147 101029785 121235742 175118294 202059570 262677441 303089355 437795735 525354882 606178710 788032323 875591470 1138268911 1313387205 1576064646 2276537822 2626774410 3414806733 3940161615 5691344555 6829613466 7880323230 10244420199 11382689110 17074033665 20488840398 34148067330 51222100995 102444201990