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10002033132 = 2237132704567
BaseRepresentation
bin10010101000010101…
…01110100111101100
3221211001120221001120
421110022232213230
5130441010030012
64332254140540
7502600610310
oct112412564754
927731527046
1010002033132
114272983593
121b317b1750
13c3524ca00
146ac531b40
153d816058c
hex2542ae9ec

10002033132 has 72 divisors (see below), whose sum is σ = 28881651456. Its totient is φ = 2637895104.

The previous prime is 10002033121. The next prime is 10002033137. The reversal of 10002033132 is 23133020001.

10002033132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10002033137) 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 23 ways as a sum of consecutive naturals, for example, 338088 + ... + 366479.

It is an arithmetic number, because the mean of its divisors is an integer number (401134048).

Almost surely, 210002033132 is an apocalyptic number.

10002033132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10002033132 is an abundant number, since it is smaller than the sum of its proper divisors (18879618324).

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

10002033132 is a wasteful number, since it uses less digits than its factorization.

10002033132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704607 (or 704592 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10002033132 its reverse (23133020001), we get a palindrome (33135053133).

The spelling of 10002033132 in words is "ten billion, two million, thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 169 182 273 338 364 507 546 676 1014 1092 1183 2028 2366 3549 4732 7098 14196 704567 1409134 2113701 2818268 4227402 4931969 8454804 9159371 9863938 14795907 18318742 19727876 27478113 29591814 36637484 54956226 59183628 64115597 109912452 119071823 128231194 192346791 238143646 256462388 357215469 384693582 476287292 714430938 769387164 833502761 1428861876 1667005522 2500508283 3334011044 5001016566 10002033132