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1023113132112 = 243411493489091
BaseRepresentation
bin11101110001101100100…
…10110111100001010000
310121210211111212012011010
432320312102313201100
5113230313430211422
62102002305050520
7133626461063601
oct16706622674120
93553744765133
101023113132112
11364999766175
12146352626a40
137562c918886
1437739d83da8
151b930971b0c
hexee364b7850

1023113132112 has 80 divisors (see below), whose sum is σ = 2725678670400. Its totient is φ = 330486604800.

The previous prime is 1023113132099. The next prime is 1023113132117. The reversal of 1023113132112 is 2112313113201.

1023113132112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10231131321122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023113132117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1451314 + ... + 2037777.

It is an arithmetic number, because the mean of its divisors is an integer number (34070983380).

Almost surely, 21023113132112 is an apocalyptic number.

1023113132112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1023113132112 is an abundant number, since it is smaller than the sum of its proper divisors (1702565538288).

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

1023113132112 is a wasteful number, since it uses less digits than its factorization.

1023113132112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3489292 (or 3489286 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1023113132112 its reverse (2112313113201), we get a palindrome (3135426245313).

The spelling of 1023113132112 in words is "one trillion, twenty-three billion, one hundred thirteen million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 149 164 246 298 328 447 492 596 656 894 984 1192 1788 1968 2384 3576 6109 7152 12218 18327 24436 36654 48872 73308 97744 146616 293232 3489091 6978182 10467273 13956364 20934546 27912728 41869092 55825456 83738184 143052731 167476368 286105462 429158193 519874559 572210924 858316386 1039749118 1144421848 1559623677 1716632772 2079498236 2288843696 3119247354 3433265544 4158996472 6238494708 6866531088 8317992944 12476989416 21314856919 24953978832 42629713838 63944570757 85259427676 127889141514 170518855352 255778283028 341037710704 511556566056 1023113132112