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10032011220 = 22357112171431
BaseRepresentation
bin10010101011111010…
…00101011111010100
3221220010222222021010
421111331011133110
5131021143324340
64335244452220
7503413455060
oct112575053724
927803888233
1010032011220
114288899570
121b3b84a070
13c3b517a1a
146b24d6aa0
153daad2b80
hex255f457d4

10032011220 has 96 divisors (see below), whose sum is σ = 35020855296. Its totient is φ = 2084572800.

The previous prime is 10032011173. The next prime is 10032011233. The reversal of 10032011220 is 2211023001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10032011196 and 10032011205.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1081096 + ... + 1090335.

It is an arithmetic number, because the mean of its divisors is an integer number (364800576).

Almost surely, 210032011220 is an apocalyptic number.

10032011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032011220 is an abundant number, since it is smaller than the sum of its proper divisors (24988844076).

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

10032011220 is a wasteful number, since it uses less digits than its factorization.

10032011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171461 (or 2171459 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10032011220 its reverse (2211023001), we get a palindrome (12243034221).

The spelling of 10032011220 in words is "ten billion, thirty-two million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 2171431 4342862 6514293 8685724 10857155 13028586 15200017 21714310 23885741 26057172 30400034 32571465 43428620 45600051 47771482 60800068 65142930 71657223 76000085 91200102 95542964 119428705 130285860 143314446 152000170 167200187 182400204 228000255 238857410 286628892 304000340 334400374 358286115 456000510 477714820 501600561 668800748 716572230 836000935 912001020 1003201122 1433144460 1672001870 2006402244 2508002805 3344003740 5016005610 10032011220