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1312193700 = 2232522363391
BaseRepresentation
bin100111000110110…
…0111110010100100
310101110010100100200
41032031213302210
510141410144300
6334112510500
744342314416
oct11615476244
93343110320
101312193700
11613776604
1230754b430
1317bb1719c
14c63b69b6
157a2ed200
hex4e367ca4

1312193700 has 108 divisors (see below), whose sum is σ = 4291891968. Its totient is φ = 334699200.

The previous prime is 1312193693. The next prime is 1312193731. The reversal of 1312193700 is 73912131.

1312193700 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 10996 + ... + 52395.

Almost surely, 21312193700 is an apocalyptic number.

1312193700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312193700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145945984).

1312193700 is an abundant number, since it is smaller than the sum of its proper divisors (2979698268).

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

1312193700 is a wasteful number, since it uses less digits than its factorization.

1312193700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63434 (or 63424 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 1312193700 is about 36224.2142771931. The cubic root of 1312193700 is about 1094.7946071258.

The spelling of 1312193700 in words is "one billion, three hundred twelve million, one hundred ninety-three thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 25 30 36 45 46 50 60 69 75 90 92 100 115 138 150 180 207 225 230 276 300 345 414 450 460 575 690 828 900 1035 1150 1380 1725 2070 2300 3450 4140 5175 6900 10350 20700 63391 126782 190173 253564 316955 380346 570519 633910 760692 950865 1141038 1267820 1457993 1584775 1901730 2282076 2852595 2915986 3169550 3803460 4373979 4754325 5705190 5831972 6339100 7289965 8747958 9508650 11410380 13121937 14262975 14579930 17495916 19017300 21869895 26243874 28525950 29159860 36449825 43739790 52487748 57051900 65609685 72899650 87479580 109349475 131219370 145799300 218698950 262438740 328048425 437397900 656096850 1312193700