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23110000032 = 2537311109351
BaseRepresentation
bin10101100001011101…
…101001110110100000
32012122120112122021010
4111201131221312200
5334312130000112
614341103300520
71445454521250
oct254135516640
965576478233
1023110000032
119889aa1089
12458b5aa740
132243ac4542
141193363960
15903cdc63c
hex561769da0

23110000032 has 96 divisors (see below), whose sum is σ = 71566516224. Its totient is φ = 6389856000.

The previous prime is 23110000013. The next prime is 23110000051. The reversal of 23110000032 is 23000001132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23110000013) and next prime (23110000051).

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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 23109999972 and 23110000017.

It is an unprimeable number.

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, 533844 + ... + 575507.

It is an arithmetic number, because the mean of its divisors is an integer number (745484544).

Almost surely, 223110000032 is an apocalyptic number.

It is an amenable number.

23110000032 is an abundant number, since it is smaller than the sum of its proper divisors (48456516192).

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

23110000032 is a wasteful number, since it uses less digits than its factorization.

23110000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109402 (or 1109394 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 23110000032 its reverse (23000001132), we get a palindrome (46110001164).

The spelling of 23110000032 in words is "twenty-three billion, one hundred ten million, thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5208 6944 10416 20832 1109351 2218702 3328053 4437404 6656106 7765457 8874808 13312212 15530914 17749616 23296371 26624424 31061828 34389881 35499232 46592742 53248848 62123656 68779762 93185484 103169643 106497696 124247312 137559524 186370968 206339286 240729167 248494624 275119048 372741936 412678572 481458334 550238096 722187501 745483872 825357144 962916668 1100476192 1444375002 1650714288 1925833336 2888750004 3301428576 3851666672 5777500008 7703333344 11555000016 23110000032