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1312861900 = 225272299239
BaseRepresentation
bin100111001000000…
…1010111011001100
310101111101021221211
41032100022323030
510142043040100
6334135104204
744351066500
oct11620127314
93344337854
101312861900
11614092639
12307812064
1317bcbc37c
14c650c300
157a3d11ba
hex4e40aecc

1312861900 has 108 divisors (see below), whose sum is σ = 3428686800. Its totient is φ = 434555520.

The previous prime is 1312861897. The next prime is 1312861909. The reversal of 1312861900 is 91682131.

It is a super-2 number, since 2×13128619002 = 3447212736943220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1312861909) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 137481 + ... + 146719.

It is an arithmetic number, because the mean of its divisors is an integer number (31747100).

Almost surely, 21312861900 is an apocalyptic number.

1312861900 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 1312861900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714343400).

1312861900 is an abundant number, since it is smaller than the sum of its proper divisors (2115824900).

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

1312861900 is a wasteful number, since it uses less digits than its factorization.

1312861900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9296 (or 9282 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 1312861900 is about 36233.4362157386. The cubic root of 1312861900 is about 1094.9804073418.

The spelling of 1312861900 in words is "one billion, three hundred twelve million, eight hundred sixty-one thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 49 50 58 70 98 100 116 140 145 175 196 203 245 290 350 406 490 580 700 725 812 980 1015 1225 1421 1450 2030 2450 2842 2900 4060 4900 5075 5684 7105 9239 10150 14210 18478 20300 28420 35525 36956 46195 64673 71050 92390 129346 142100 184780 230975 258692 267931 323365 452711 461950 535862 646730 905422 923900 1071724 1293460 1339655 1616825 1810844 1875517 2263555 2679310 3233650 3751034 4527110 5358620 6467300 6698275 7502068 9054220 9377585 11317775 13128619 13396550 18755170 22635550 26257238 26793100 37510340 45271100 46887925 52514476 65643095 93775850 131286190 187551700 262572380 328215475 656430950 1312861900