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1312313100 = 223527289273
BaseRepresentation
bin100111000111000…
…0100111100001100
310101110100102010220
41032032010330030
510141423004400
6334115231340
744343322500
oct11616047414
93343312126
101312313100
1161384828a
123075a8550
1317bb59637
14c6408300
157a3237a0
hex4e384f0c

1312313100 has 108 divisors (see below), whose sum is σ = 4416920424. Its totient is φ = 299953920.

The previous prime is 1312313063. The next prime is 1312313129. The reversal of 1312313100 is 13132131.

It is a super-2 number, since 2×13123131002 = 3444331344863220000, which contains 22 as substring.

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 1312313100.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29937 + ... + 59336.

Almost surely, 21312313100 is an apocalyptic number.

1312313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312313100 is an abundant number, since it is smaller than the sum of its proper divisors (3104607324).

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

1312313100 is a wasteful number, since it uses less digits than its factorization.

1312313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89304 (or 89290 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1312313100 is about 36225.8623085773. The cubic root of 1312313100 is about 1094.8278122111.

Adding to 1312313100 its reverse (13132131), we get a palindrome (1325445231).

The spelling of 1312313100 in words is "one billion, three hundred twelve million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 350 420 490 525 588 700 735 980 1050 1225 1470 2100 2450 2940 3675 4900 7350 14700 89273 178546 267819 357092 446365 535638 624911 892730 1071276 1249822 1339095 1785460 1874733 2231825 2499644 2678190 3124555 3749466 4374377 4463650 5356380 6249110 6695475 7498932 8748754 8927300 9373665 12498220 13123131 13390950 15622775 17497508 18747330 21871885 26246262 26781900 31245550 37494660 43743770 46868325 52492524 62491100 65615655 87487540 93736650 109359425 131231310 187473300 218718850 262462620 328078275 437437700 656156550 1312313100