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10433042120 = 2351719807511
BaseRepresentation
bin10011011011101101…
…11001011011001000
3222221002121110020102
421231312321123020
5132331324321440
64443132144532
7516353252264
oct115566713310
928832543212
1010433042120
1144741a8a66
122032008148
13ca362a607
1470d8890a4
15410debb15
hex26ddb96c8

10433042120 has 64 divisors (see below), whose sum is σ = 26163388800. Its totient is φ = 3721006080.

The previous prime is 10433042111. The next prime is 10433042161. The reversal of 10433042120 is 2124033401.

It is a super-4 number, since 4×104330421204 (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10433042092 and 10433042101.

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 15 ways as a sum of consecutive naturals, for example, 390836 + ... + 416675.

It is an arithmetic number, because the mean of its divisors is an integer number (408802950).

Almost surely, 210433042120 is an apocalyptic number.

10433042120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10433042120 is an abundant number, since it is smaller than the sum of its proper divisors (15730346680).

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

10433042120 is a wasteful number, since it uses less digits than its factorization.

10433042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807558 (or 807554 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10433042120 its reverse (2124033401), we get a palindrome (12557075521).

The spelling of 10433042120 in words is "ten billion, four hundred thirty-three million, forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 323 340 380 646 680 760 1292 1615 2584 3230 6460 12920 807511 1615022 3230044 4037555 6460088 8075110 13727687 15342709 16150220 27455374 30685418 32300440 54910748 61370836 68638435 76713545 109821496 122741672 137276870 153427090 260826053 274553740 306854180 521652106 549107480 613708360 1043304212 1304130265 2086608424 2608260530 5216521060 10433042120