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133010231010192 = 24323159505020317
BaseRepresentation
bin11110001111100011011011…
…100100100010001110010000
3122102221122122200201201202100
4132033203123210202032100
5114413214423114311232
61150520020115320400
740005446343131604
oct3617433344421620
9572848580651670
10133010231010192
113942135a921328
1212b023352b0100
13592aa708c6573
1424bba2db8d504
151059d7c0ccc7c
hex78f8db922390

133010231010192 has 120 divisors (see below), whose sum is σ = 390764521255680. Its totient is φ = 42179296792320.

The previous prime is 133010231010187. The next prime is 133010231010233. The reversal of 133010231010192 is 291010132010331.

133010231010192 is a `hidden beast` number, since 1 + 330 + 1 + 0 + 2 + 310 + 1 + 0 + 19 + 2 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 252246783 + ... + 252773534.

It is an arithmetic number, because the mean of its divisors is an integer number (3256371010464).

Almost surely, 2133010231010192 is an apocalyptic number.

133010231010192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133010231010192 is an abundant number, since it is smaller than the sum of its proper divisors (257754290245488).

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

133010231010192 is a wasteful number, since it uses less digits than its factorization.

133010231010192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505020421 (or 505020412 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 133010231010192 in words is "one hundred thirty-three trillion, ten billion, two hundred thirty-one million, ten thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 59 62 72 93 118 124 144 177 186 236 248 279 354 372 472 496 531 558 708 744 944 1062 1116 1416 1488 1829 2124 2232 2832 3658 4248 4464 5487 7316 8496 10974 14632 16461 21948 29264 32922 43896 65844 87792 131688 263376 505020317 1010040634 1515060951 2020081268 3030121902 4040162536 4545182853 6060243804 8080325072 9090365706 12120487608 15655629827 18180731412 24240975216 29796198703 31311259654 36361462824 46966889481 59592397406 62622519308 72722925648 89388596109 93933778962 119184794812 125245038616 140900668443 178777192218 187867557924 238369589624 250490077232 268165788327 281801336886 357554384436 375735115848 476739179248 536331576654 563602673772 715108768872 751470231696 923682159793 1072663153308 1127205347544 1430217537744 1847364319586 2145326306616 2254410695088 2771046479379 3694728639172 4290652613232 5542092958758 7389457278344 8313139438137 11084185917516 14778914556688 16626278876274 22168371835032 33252557752548 44336743670064 66505115505096 133010231010192