Search a number
-
+
21312331101 = 3229434094643
BaseRepresentation
bin10011110110010100…
…000101110101011101
32001000021220121002100
4103312110011311131
5322121424043401
613442445115313
71353065553045
oct236624056535
961007817070
1021312331101
119047289886
124169558b39
13201853c509
1410626d6725
1584b094b86
hex4f6505d5d

21312331101 has 48 divisors (see below), whose sum is σ = 32673326400. Its totient is φ = 13363612416.

The previous prime is 21312330979. The next prime is 21312331121. The reversal of 21312331101 is 10113321312.

21312331101 is a `hidden beast` number, since 21 + 312 + 331 + 1 + 0 + 1 = 666.

It is not a de Polignac number, because 21312331101 - 27 = 21312330973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21312331121) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4587886 + ... + 4592528.

It is an arithmetic number, because the mean of its divisors is an integer number (680694300).

Almost surely, 221312331101 is an apocalyptic number.

It is an amenable number.

21312331101 is a deficient number, since it is larger than the sum of its proper divisors (11360995299).

21312331101 is a wasteful number, since it uses less digits than its factorization.

21312331101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5130 (or 5127 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21312331101 its reverse (10113321312), we get a palindrome (31425652413).

The spelling of 21312331101 in words is "twenty-one billion, three hundred twelve million, three hundred thirty-one thousand, one hundred one".

Divisors: 1 3 9 29 43 87 129 261 387 409 1227 1247 3681 3741 4643 11223 11861 13929 17587 35583 41787 52761 106749 134647 158283 199649 403941 510023 598947 1211823 1530069 1796841 1898987 4590207 5696961 5789821 17090883 17369463 52108389 55070623 81656441 165211869 244969323 495635607 734907969 2368036789 7104110367 21312331101