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21132102004 = 22133782913249
BaseRepresentation
bin10011101011100100…
…100100100101110100
32000112201210000020121
4103223210210211310
5321234304231004
613412530141324
71345446621556
oct235344444564
960481700217
1021132102004
118a64580012
124119121844
131cba0b8290
1410467bd4d6
1583a343854
hex4eb924974

21132102004 has 48 divisors (see below), whose sum is σ = 40954690000. Its totient is φ = 9477513216.

The previous prime is 21132102001. The next prime is 21132102053. The reversal of 21132102004 is 40020123112.

It can be written as a sum of positive squares in 8 ways, for example, as 64160100 + 21067941904 = 8010^2 + 145148^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21132102001) 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 15 ways as a sum of consecutive naturals, for example, 1588372 + ... + 1601620.

Almost surely, 221132102004 is an apocalyptic number.

It is an amenable number.

21132102004 is a deficient number, since it is larger than the sum of its proper divisors (19822587996).

21132102004 is a wasteful number, since it uses less digits than its factorization.

21132102004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14132 (or 14130 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21132102004 its reverse (40020123112), we get a palindrome (61152225116).

The spelling of 21132102004 in words is "twenty-one billion, one hundred thirty-two million, one hundred two thousand, four".

Divisors: 1 2 4 13 26 37 52 74 148 481 829 962 1658 1924 3316 10777 13249 21554 26498 30673 43108 52996 61346 122692 172237 344474 398749 490213 688948 797498 980426 1594996 1960852 6372769 10983421 12745538 21966842 25491076 43933684 142784473 285568946 406386577 571137892 812773154 1625546308 5283025501 10566051002 21132102004