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10202190173412 = 22319293156797459
BaseRepresentation
bin1001010001110110000111…
…1010111101010011100100
31100010022122011201021102120
42110131201322331103210
52314123041141022122
633410453234105540
72102040532432446
oct224354172752344
940108564637376
1010202190173412
1132837a7422996
121189304a1b2b0
135900a71483a3
14273b08050496
1512a5b07e275c
hex94761ebd4e4

10202190173412 has 96 divisors (see below), whose sum is σ = 25159836979200. Its totient is φ = 3208666649472.

The previous prime is 10202190173381. The next prime is 10202190173419. The reversal of 10202190173412 is 21437109120201.

It is not an unprimeable number, because it can be changed into a prime (10202190173419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104633139 + ... + 104730597.

It is an arithmetic number, because the mean of its divisors is an integer number (262081635200).

Almost surely, 210202190173412 is an apocalyptic number.

10202190173412 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 10202190173412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12579918489600).

10202190173412 is an abundant number, since it is smaller than the sum of its proper divisors (14957646805788).

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

10202190173412 is a wasteful number, since it uses less digits than its factorization.

10202190173412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99345 (or 99343 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

Adding to 10202190173412 its reverse (21437109120201), we get a palindrome (31639299293613).

The spelling of 10202190173412 in words is "ten trillion, two hundred two billion, one hundred ninety million, one hundred seventy-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 293 586 879 1172 1567 1758 3134 3516 4701 5567 6268 9402 11134 16701 18804 22268 29773 33402 59546 66804 89319 97459 119092 178638 194918 292377 357276 389836 459131 584754 918262 1169508 1377393 1836524 1851721 2754786 3703442 5509572 5555163 7406884 8723489 11110326 17446978 22220652 26170467 28555487 34893956 52340934 57110974 85666461 104681868 114221948 152718253 171332922 305436506 342665844 458154759 542554253 610873012 916309518 1085108506 1627662759 1832619036 2170217012 2901646807 3255325518 5803293614 6510651036 8704940421 11606587228 17409880842 34819761684 44746448129 89492896258 134239344387 178985792516 268478688774 536957377548 850182514451 1700365028902 2550547543353 3400730057804 5101095086706 10202190173412