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21100323104 = 257316134957
BaseRepresentation
bin10011101001101011…
…010110000100100000
32000110111222110210022
4103221223112010200
5321203140314404
613405433053012
71344612533660
oct235153260440
960414873708
1021100323104
118a48645063
12410a557168
131cb363c6b3
1410424aa1a0
158376678be
hex4e9ad6120

21100323104 has 96 divisors (see below), whose sum is σ = 49097051136. Its totient is φ = 8735247360.

The previous prime is 21100323103. The next prime is 21100323113. The reversal of 21100323104 is 40132300112.

It is not an unprimeable number, because it can be changed into a prime (21100323103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4254194 + ... + 4259150.

It is an arithmetic number, because the mean of its divisors is an integer number (511427616).

Almost surely, 221100323104 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 21100323104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24548525568).

21100323104 is an abundant number, since it is smaller than the sum of its proper divisors (27996728032).

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

21100323104 is a wasteful number, since it uses less digits than its factorization.

21100323104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5618 (or 5610 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 21100323104 its reverse (40132300112), we get a palindrome (61232623216).

The spelling of 21100323104 in words is "twenty-one billion, one hundred million, three hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 613 868 992 1226 1736 2452 3472 4291 4904 4957 6944 8582 9808 9914 17164 19003 19616 19828 34328 34699 38006 39656 68656 69398 76012 79312 133021 137312 138796 152024 153667 158624 266042 277592 304048 307334 532084 555184 608096 614668 1064168 1075669 1110368 1229336 2128336 2151338 2458672 3038641 4256672 4302676 4917344 6077282 8605352 12154564 17210704 21270487 24309128 34421408 42540974 48618256 85081948 94197871 97236512 170163896 188395742 340327792 376791484 659385097 680655584 753582968 1318770194 1507165936 2637540388 3014331872 5275080776 10550161552 21100323104