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1353113700 = 2235214930271
BaseRepresentation
bin101000010100110…
…1110000001100100
310111022010022001020
41100221232001210
510232344114300
6342133531140
745350163621
oct12051560144
93438108036
101353113700
11634885394
123191a3ab0
131874436c3
14cb9c9348
157dbd28a0
hex50a6e064

1353113700 has 72 divisors (see below), whose sum is σ = 3941414400. Its totient is φ = 358396800.

The previous prime is 1353113687. The next prime is 1353113731. The reversal of 1353113700 is 73113531.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29565 + ... + 59835.

Almost surely, 21353113700 is an apocalyptic number.

1353113700 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 1353113700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970707200).

1353113700 is an abundant number, since it is smaller than the sum of its proper divisors (2588300700).

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

1353113700 is a wasteful number, since it uses less digits than its factorization.

1353113700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30437 (or 30430 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 1353113700 is about 36784.6938277322. The cubic root of 1353113700 is about 1106.0584985632.

The spelling of 1353113700 in words is "one billion, three hundred fifty-three million, one hundred thirteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 149 150 298 300 447 596 745 894 1490 1788 2235 2980 3725 4470 7450 8940 11175 14900 22350 30271 44700 60542 90813 121084 151355 181626 302710 363252 454065 605420 756775 908130 1513550 1816260 2270325 3027100 4510379 4540650 9020758 9081300 13531137 18041516 22551895 27062274 45103790 54124548 67655685 90207580 112759475 135311370 225518950 270622740 338278425 451037900 676556850 1353113700