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20100021192 = 2332377995507
BaseRepresentation
bin10010101110000011…
…011111101111001000
31220212210201212112100
4102232003133233020
5312131101134232
613122301113400
71311045234606
oct225603375710
956783655470
1020100021192
118584a35469
123a8b558860
131b84327c84
14d896c0876
157c9926c7c
hex4ae0dfbc8

20100021192 has 96 divisors (see below), whose sum is σ = 56617142400. Its totient is φ = 6436340352.

The previous prime is 20100021181. The next prime is 20100021197. The reversal of 20100021192 is 29112000102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20100021197) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 162703 + ... + 258209.

It is an arithmetic number, because the mean of its divisors is an integer number (589761900).

Almost surely, 220100021192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20100021192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28308571200).

20100021192 is an abundant number, since it is smaller than the sum of its proper divisors (36517121208).

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

20100021192 is a wasteful number, since it uses less digits than its factorization.

20100021192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95635 (or 95628 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 20100021192 its reverse (29112000102), we get a palindrome (49212021294).

The spelling of 20100021192 in words is "twenty billion, one hundred million, twenty-one thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 79 111 148 158 222 237 296 316 333 444 474 632 666 711 888 948 1332 1422 1896 2664 2844 2923 5688 5846 8769 11692 17538 23384 26307 35076 52614 70152 95507 105228 191014 210456 286521 382028 573042 764056 859563 1146084 1719126 2292168 3438252 3533759 6876504 7067518 7545053 10601277 14135036 15090106 21202554 22635159 28270072 30180212 31803831 42405108 45270318 60360424 63607662 67905477 84810216 90540636 127215324 135810954 181081272 254430648 271621908 279166961 543243816 558333922 837500883 1116667844 1675001766 2233335688 2512502649 3350003532 5025005298 6700007064 10050010596 20100021192