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1023120112 = 24717273433
BaseRepresentation
bin111100111110111…
…001001011110000
32122022011212221111
4330332321023300
54043404320422
6245305003104
734232243320
oct7476711360
92568155844
101023120112
11485585313
12246783494
13133c73821
1499c49280
155ec4ba77
hex3cfb92f0

1023120112 has 120 divisors (see below), whose sum is σ = 2445183776. Its totient is φ = 406093824.

The previous prime is 1023120053. The next prime is 1023120127. The reversal of 1023120112 is 2110213201.

It is a junction number, because it is equal to n+sod(n) for n = 1023120092 and 1023120101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2362648 + ... + 2363080.

Almost surely, 21023120112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222591888).

1023120112 is an abundant number, since it is smaller than the sum of its proper divisors (1422063664).

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

1023120112 is a wasteful number, since it uses less digits than its factorization.

1023120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1023120112 is about 31986.2487953808. The cubic root of 1023120112 is about 1007.6480620282.

Adding to 1023120112 its reverse (2110213201), we get a palindrome (3133333313).

The spelling of 1023120112 in words is "one billion, twenty-three million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 73 112 119 136 146 238 272 289 292 433 476 511 578 584 866 952 1022 1156 1168 1241 1732 1904 2023 2044 2312 2482 3031 3464 4046 4088 4624 4964 6062 6928 7361 8092 8176 8687 9928 12124 14722 16184 17374 19856 21097 24248 29444 31609 32368 34748 42194 48496 51527 58888 63218 69496 84388 103054 117776 125137 126436 138992 147679 168776 206108 221263 250274 252872 295358 337552 412216 442526 500548 505744 537353 590716 824432 875959 885052 1001096 1074706 1181432 1751918 1770104 2002192 2149412 2362864 3503836 3540208 3761471 4298824 7007672 7522942 8597648 9135001 14015344 15045884 18270002 30091768 36540004 60183536 63945007 73080008 127890014 146160016 255780028 511560056 1023120112