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1312300112100 = 223525505779451
BaseRepresentation
bin10011000110001011001…
…011101001100011100100
311122110021110011212222120
4103012023023221203210
5133000042312041400
62442510133425540
7163545006622455
oct23061313514344
94573243155876
101312300112100
114665a822449a
121923ba79b2b0
1396998498a93
1447730da912c
1524208bc7ca0
hex1318b2e98e4

1312300112100 has 72 divisors (see below), whose sum is σ = 3797038411488. Its totient is φ = 349935936000.

The previous prime is 1312300112083. The next prime is 1312300112129. The reversal of 1312300112100 is 12110032131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1312300112100.

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 23 ways as a sum of consecutive naturals, for example, 16477375 + ... + 16556825.

It is an arithmetic number, because the mean of its divisors is an integer number (52736644604).

Almost surely, 21312300112100 is an apocalyptic number.

1312300112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312300112100 is an abundant number, since it is smaller than the sum of its proper divisors (2484738299388).

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

1312300112100 is a wasteful number, since it uses less digits than its factorization.

1312300112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134525 (or 134518 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1312300112100 its reverse (12110032131), we get a palindrome (1324410144231).

The spelling of 1312300112100 in words is "one trillion, three hundred twelve billion, three hundred million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 55057 79451 110114 158902 165171 220228 238353 275285 317804 330342 397255 476706 550570 660684 794510 825855 953412 1101140 1191765 1376425 1589020 1651710 1986275 2383530 2752850 3303420 3972550 4129275 4767060 5505700 5958825 7945100 8258550 11917650 16517100 23835300 4374333707 8748667414 13123001121 17497334828 21871668535 26246002242 43743337070 52492004484 65615005605 87486674140 109358342675 131230011210 218716685350 262460022420 328075028025 437433370700 656150056050 1312300112100