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21100970944 = 263740921787
BaseRepresentation
bin10011101001101101…
…110100001111000000
32000110120012101110101
4103221231310033000
5321203322032234
613405455012144
71344621202504
oct235155641700
960416171411
1021100970944
118a48a47869
12410a80a054
131cb3808531
1410425d8304
15837744814
hex4e9b743c0

21100970944 has 56 divisors (see below), whose sum is σ = 43111044080. Its totient is φ = 10239768576.

The previous prime is 21100970941. The next prime is 21100971007. The reversal of 21100970944 is 44907900112.

It is a super-2 number, since 2×211009709442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100970941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 957619 + ... + 979405.

Almost surely, 221100970944 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 21100970944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21555522040).

21100970944 is an abundant number, since it is smaller than the sum of its proper divisors (22010073136).

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

21100970944 is a wasteful number, since it uses less digits than its factorization.

21100970944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22245 (or 22235 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 21100970944 in words is "twenty-one billion, one hundred million, nine hundred seventy thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 409 592 818 1184 1636 2368 3272 6544 13088 15133 21787 26176 30266 43574 60532 87148 121064 174296 242128 348592 484256 697184 806119 968512 1394368 1612238 3224476 6448952 8910883 12897904 17821766 25795808 35643532 51591616 71287064 142574128 285148256 329702671 570296512 659405342 1318810684 2637621368 5275242736 10550485472 21100970944