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21731603096 = 23721929100613
BaseRepresentation
bin10100001111010011…
…011111001010011000
32002002111211211010202
4110033103133022120
5324001242244341
613552223401332
71366346402300
oct241723371230
962074754122
1021731603096
119241a18065
124265a53248
13208436aa58
1410a2276600
15872cb379b
hex50f4df298

21731603096 has 96 divisors (see below), whose sum is σ = 51614982000. Its totient is φ = 8519019264.

The previous prime is 21731603093. The next prime is 21731603099. The reversal of 21731603096 is 69030613712.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21731603093) and next prime (21731603099).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21731603093) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165686 + ... + 266298.

Almost surely, 221731603096 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 21731603096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25807491000).

21731603096 is an abundant number, since it is smaller than the sum of its proper divisors (29883378904).

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

21731603096 is a wasteful number, since it uses less digits than its factorization.

21731603096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100681 (or 100670 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 38.

The spelling of 21731603096 in words is "twenty-one billion, seven hundred thirty-one million, six hundred three thousand, ninety-six".

Divisors: 1 2 4 7 8 14 19 28 29 38 49 56 58 76 98 116 133 152 196 203 232 266 392 406 532 551 812 931 1064 1102 1421 1624 1862 2204 2842 3724 3857 4408 5684 7448 7714 11368 15428 26999 30856 53998 100613 107996 201226 215992 402452 704291 804904 1408582 1911647 2817164 2917777 3823294 4930037 5634328 5835554 7646588 9860074 11671108 13381529 15293176 19720148 20424439 23342216 26763058 39440296 40848878 53526116 55437763 81697756 93670703 107052232 110875526 142971073 163395512 187341406 221751052 285942146 374682812 388064341 443502104 571884292 749365624 776128682 1143768584 1552257364 2716450387 3104514728 5432900774 10865801548 21731603096