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11102220192 = 253717971833
BaseRepresentation
bin10100101011011111…
…00110111110100000
31001122201210012222110
422111233212332200
5140214132021232
65033355035320
7542060212620
oct122557467640
931581705873
1011102220192
114787a06398
12219a13bb40
13107c16787b
147746bc880
1544ea31acc
hex295be6fa0

11102220192 has 96 divisors (see below), whose sum is σ = 35265912192. Its totient is φ = 2985467904.

The previous prime is 11102220167. The next prime is 11102220211. The reversal of 11102220192 is 29102220111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474493 + ... + 497340.

It is an arithmetic number, because the mean of its divisors is an integer number (367353252).

Almost surely, 211102220192 is an apocalyptic number.

11102220192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11102220192 is an abundant number, since it is smaller than the sum of its proper divisors (24163692000).

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

11102220192 is a wasteful number, since it uses less digits than its factorization.

11102220192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971870 (or 971862 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 11102220192 in words is "eleven billion, one hundred two million, two hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 5712 11424 971833 1943666 2915499 3887332 5830998 6802831 7774664 11661996 13605662 15549328 16521161 20408493 23323992 27211324 31098656 33042322 40816986 46647984 49563483 54422648 66084644 81633972 93295968 99126966 108845296 115648127 132169288 163267944 198253932 217690592 231296254 264338576 326535888 346944381 396507864 462592508 528677152 653071776 693888762 793015728 925185016 1387777524 1586031456 1850370032 2775555048 3700740064 5551110096 11102220192