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21038342116 = 221121923472
BaseRepresentation
bin10011100101111110…
…111001111111100100
32000022012100111212011
4103211332321333210
5321041303421431
613355340404004
71343230646251
oct234576717744
960265314764
1021038342116
118a16660900
1240b1846604
131ca384ab5c
141038174428
15831ec2cb1
hex4e5fb9fe4

21038342116 has 81 divisors (see below), whose sum is σ = 42833836227. Its totient is φ = 9033464880.

The previous prime is 21038342113. The next prime is 21038342131. The reversal of 21038342116 is 61124383012.

The square root of 21038342116 is 145046.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×210383421162 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21038342111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 60629055 + ... + 60629401.

Almost surely, 221038342116 is an apocalyptic number.

21038342116 is the 145046-th square number.

It is an amenable number.

21038342116 is an abundant number, since it is smaller than the sum of its proper divisors (21795494111).

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

21038342116 is a wasteful number, since it uses less digits than its factorization.

21038342116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 21038342116 in words is "twenty-one billion, thirty-eight million, three hundred forty-two thousand, one hundred sixteen".

Divisors: 1 2 4 11 19 22 38 44 76 121 209 242 347 361 418 484 694 722 836 1388 1444 2299 3817 3971 4598 6593 7634 7942 9196 13186 15268 15884 26372 41987 43681 72523 83974 87362 120409 125267 145046 167948 174724 240818 250534 290092 481636 501068 797753 1324499 1377937 1595506 2287771 2648998 2755874 3191012 4575542 5297996 5511748 9151084 14569489 15157307 25165481 29138978 30314614 43467649 50330962 58277956 60629228 86935298 100661924 173870596 276820291 478144139 553640582 956288278 1107281164 1912576556 5259585529 10519171058 21038342116