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192091112100 = 223252337633337
BaseRepresentation
bin1011001011100110000…
…1011100001010100100
3200100211011022112220100
42302321201130022210
511121400311041400
6224125003104100
716610124340536
oct2627141341244
9610734275810
10192091112100
1174513474708
123128ab12030
131516392a254
149423973856
154ee3e75100
hex2cb985c2a4

192091112100 has 108 divisors (see below), whose sum is σ = 603886516324. Its totient is φ = 51072215040.

The previous prime is 192091112069. The next prime is 192091112117. The reversal of 192091112100 is 1211190291.

It can be written as a sum of positive squares in 6 ways, for example, as 576 + 192091111524 = 24^2 + 438282^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13369 + ... + 619968.

Almost surely, 2192091112100 is an apocalyptic number.

192091112100 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 192091112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301943258162).

192091112100 is an abundant number, since it is smaller than the sum of its proper divisors (411795404224).

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

192091112100 is a wasteful number, since it uses less digits than its factorization.

192091112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633694 (or 633684 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 27.

The spelling of 192091112100 in words is "one hundred ninety-two billion, ninety-one million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 337 450 674 900 1011 1348 1685 2022 3033 3370 4044 5055 6066 6740 8425 10110 12132 15165 16850 20220 25275 30330 33700 50550 60660 75825 101100 151650 303300 633337 1266674 1900011 2533348 3166685 3800022 5700033 6333370 7600044 9500055 11400066 12666740 15833425 19000110 22800132 28500165 31666850 38000220 47500275 57000330 63333700 95000550 114000660 142500825 190001100 213434569 285001650 426869138 570003300 640303707 853738276 1067172845 1280607414 1920911121 2134345690 2561214828 3201518535 3841822242 4268691380 5335864225 6403037070 7683644484 9604555605 10671728450 12806074140 16007592675 19209111210 21343456900 32015185350 38418222420 48022778025 64030370700 96045556050 192091112100