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21001000032 = 253330417993
BaseRepresentation
bin10011100011110000…
…011101010001100000
32000012121002100011000
4103203300131101200
5321002224000112
613351524152000
71342265361225
oct234360352140
960177070130
1021001000032
1189a7576181
1240a1238600
131c98ba504c
14103321394c
1582da987dc
hex4e3c1d460

21001000032 has 96 divisors (see below), whose sum is σ = 61280724960. Its totient is φ = 6997155840.

The previous prime is 21001000019. The next prime is 21001000037. The reversal of 21001000032 is 23000010012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 21000999978 and 21001000023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21001000037) 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, 2623428 + ... + 2631420.

It is an arithmetic number, because the mean of its divisors is an integer number (638340885).

Almost surely, 221001000032 is an apocalyptic number.

It is an amenable number.

21001000032 is an abundant number, since it is smaller than the sum of its proper divisors (40279724928).

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

21001000032 is a wasteful number, since it uses less digits than its factorization.

21001000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11053 (or 11039 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 21001000032 its reverse (23000010012), we get a palindrome (44001010044).

The spelling of 21001000032 in words is "twenty-one billion, one million, thirty-two", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 3041 6082 7993 9123 12164 15986 18246 23979 24328 27369 31972 36492 47958 48656 54738 63944 71937 72984 82107 95916 97312 109476 127888 143874 145968 164214 191832 215811 218952 255776 287748 291936 328428 383664 431622 437904 575496 656856 767328 863244 875808 1150992 1313712 1726488 2301984 2627424 3452976 6905952 24306713 48613426 72920139 97226852 145840278 194453704 218760417 291680556 388907408 437520834 583361112 656281251 777814816 875041668 1166722224 1312562502 1750083336 2333444448 2625125004 3500166672 5250250008 7000333344 10500500016 21001000032