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21100431996 = 22327443189011
BaseRepresentation
bin10011101001101011…
…110000101001111100
32000110112012000011100
4103221223300221330
5321203202310441
613405435253100
71344613466310
oct235153605174
960415160140
1021100431996
118a48709956
12410a5aa190
131cb367a127
1410424d7b40
15837689cb6
hex4e9af0a7c

21100431996 has 72 divisors (see below), whose sum is σ = 61094726784. Its totient is φ = 6015054240.

The previous prime is 21100431973. The next prime is 21100432021. The reversal of 21100431996 is 69913400112.

It is a happy number.

21100431996 is a `hidden beast` number, since 211 + 0 + 0 + 431 + 9 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 21100431996.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 17131 + ... + 206141.

It is an arithmetic number, because the mean of its divisors is an integer number (848537872).

Almost surely, 221100431996 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 21100431996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30547363392).

21100431996 is an abundant number, since it is smaller than the sum of its proper divisors (39994294788).

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

21100431996 is a wasteful number, since it uses less digits than its factorization.

21100431996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189471 (or 189466 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 21100431996 in words is "twenty-one billion, one hundred million, four hundred thirty-one thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 443 886 1329 1772 2658 3101 3987 5316 6202 7974 9303 12404 15948 18606 27909 37212 55818 111636 189011 378022 567033 756044 1134066 1323077 1701099 2268132 2646154 3402198 3969231 5292308 6804396 7938462 11907693 15876924 23815386 47630772 83731873 167463746 251195619 334927492 502391238 586123111 753586857 1004782476 1172246222 1507173714 1758369333 2344492444 3014347428 3516738666 5275107999 7033477332 10550215998 21100431996