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21102320096 = 2511137164951
BaseRepresentation
bin10011101001110010…
…111101100111100000
32000110122201221010222
4103221302331213200
5321204143220341
613405543542212
71344635522054
oct235162754740
960418657128
1021102320096
118a49789470
12410b15a968
131cb3b8b650
141042869c64
1583790e44b
hex4e9cbd9e0

21102320096 has 96 divisors (see below), whose sum is σ = 49496541696. Its totient is φ = 8729280000.

The previous prime is 21102320087. The next prime is 21102320101. The reversal of 21102320096 is 69002320112.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 15 ways as a sum of consecutive naturals, for example, 292421 + ... + 357371.

It is an arithmetic number, because the mean of its divisors is an integer number (515588976).

Almost surely, 221102320096 is an apocalyptic number.

21102320096 is a gapful number since it is divisible by the number (26) 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 21102320096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24748270848).

21102320096 is an abundant number, since it is smaller than the sum of its proper divisors (28394221600).

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

21102320096 is a wasteful number, since it uses less digits than its factorization.

21102320096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65056 (or 65048 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 21102320096 in words is "twenty-one billion, one hundred two million, three hundred twenty thousand, ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 71 88 104 142 143 176 208 284 286 352 416 568 572 781 923 1136 1144 1562 1846 2272 2288 3124 3692 4576 6248 7384 10153 12496 14768 20306 24992 29536 40612 64951 81224 129902 162448 259804 324896 519608 714461 844363 1039216 1428922 1688726 2078432 2857844 3377452 4611521 5715688 6754904 9223042 9287993 11431376 13509808 18446084 18575986 22862752 27019616 36892168 37151972 50726731 59949773 73784336 74303944 101453462 119899546 147568672 148607888 202906924 239799092 297215776 405813848 479598184 659447503 811627696 959196368 1318895006 1623255392 1918392736 2637790012 5275580024 10551160048 21102320096