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1023100332312 = 233234343103317
BaseRepresentation
bin11101110001101011000…
…10000010100100011000
310121210210121202220010110
432320311202002210120
5113230302141113222
62102001130444320
7133626244223442
oct16706542024430
93553717686113
101023100332312
11364992513523
1214634a2936a0
137562a086826
14377383b1492
151b92e79430c
hexee35882918

1023100332312 has 64 divisors (see below), whose sum is σ = 2731026228480. Its totient is φ = 318619711872.

The previous prime is 1023100332299. The next prime is 1023100332323. The reversal of 1023100332312 is 2132330013201.

It is a congruent number.

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, 21527923 + ... + 21575394.

It is an arithmetic number, because the mean of its divisors is an integer number (42672284820).

Almost surely, 21023100332312 is an apocalyptic number.

1023100332312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1023100332312 is an abundant number, since it is smaller than the sum of its proper divisors (1707925896168).

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

1023100332312 is a wasteful number, since it uses less digits than its factorization.

1023100332312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43103392 (or 43103388 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1023100332312 its reverse (2132330013201), we get a palindrome (3155430345513).

The spelling of 1023100332312 in words is "one trillion, twenty-three billion, one hundred million, three hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 43 46 69 86 92 129 138 172 184 258 276 344 516 552 989 1032 1978 2967 3956 5934 7912 11868 23736 43103317 86206634 129309951 172413268 258619902 344826536 517239804 991376291 1034479608 1853442631 1982752582 2974128873 3706885262 3965505164 5560327893 5948257746 7413770524 7931010328 11120655786 11896515492 14827541048 22241311572 23793030984 42629180513 44482623144 85258361026 127887541539 170516722052 255775083078 341033444104 511550166156 1023100332312