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21100234624 = 277179714281
BaseRepresentation
bin10011101001101011…
…000000011110000000
32000110111210222102021
4103221223000132000
5321203130001444
613405431131224
71344612015010
oct235153003600
960414728367
1021100234624
118a48594637
12410a513b14
131cb360b341
141042485c40
1583764b584
hex4e9ac0780

21100234624 has 128 divisors (see below), whose sum is σ = 51394633920. Its totient is φ = 8422686720.

The previous prime is 21100234619. The next prime is 21100234657. The reversal of 21100234624 is 42643200112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1470364 + ... + 1484644.

Almost surely, 221100234624 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 21100234624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25697316960).

21100234624 is an abundant number, since it is smaller than the sum of its proper divisors (30294399296).

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

21100234624 is a wasteful number, since it uses less digits than its factorization.

21100234624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14416 (or 14404 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 21100234624 its reverse (42643200112), we get a palindrome (63743434736).

The spelling of 21100234624 in words is "twenty-one billion, one hundred million, two hundred thirty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 97 112 119 128 136 194 224 238 272 388 448 476 544 679 776 896 952 1088 1358 1552 1649 1904 2176 2716 3104 3298 3808 5432 6208 6596 7616 10864 11543 12416 13192 14281 15232 21728 23086 26384 28562 43456 46172 52768 57124 86912 92344 99967 105536 114248 184688 199934 211072 228496 242777 369376 399868 456992 485554 738752 799736 913984 971108 1385257 1477504 1599472 1699439 1827968 1942216 2770514 3198944 3398878 3884432 5541028 6397888 6797756 7768864 9696799 11082056 12795776 13595512 15537728 19393598 22164112 23549369 27191024 31075456 38787196 44328224 47098738 54382048 77574392 88656448 94197476 108764096 155148784 164845583 177312896 188394952 217528192 310297568 329691166 376789904 620595136 659382332 753579808 1241190272 1318764664 1507159616 2637529328 3014319232 5275058656 10550117312 21100234624