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4314101300 = 22521391492083
BaseRepresentation
bin1000000010010001…
…11111011000110100
3102010122202001102122
410001020333120310
532313402220200
61552030055112
7211623153545
oct40110773064
912118661378
104314101300
11191421a183
12a0494a498
13539a18a82
142ccd584cc
151a3b1c385
hex10123f634

4314101300 has 72 divisors (see below), whose sum is σ = 9496788000. Its totient is φ = 1700910720.

The previous prime is 4314101293. The next prime is 4314101327. The reversal of 4314101300 is 31014134.

It is a super-2 number, since 2×43141013002 = 37222940053323380000, which contains 22 as substring.

It is a congruent number.

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, 2070059 + ... + 2072141.

Almost surely, 24314101300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4314101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4748394000).

4314101300 is an abundant number, since it is smaller than the sum of its proper divisors (5182686700).

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

4314101300 is a wasteful number, since it uses less digits than its factorization.

4314101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 4314101300 is about 65681.8186410821. The cubic root of 4314101300 is about 1627.9089575345.

Adding to 4314101300 its reverse (31014134), we get a palindrome (4345115434).

The spelling of 4314101300 in words is "four billion, three hundred fourteen million, one hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 139 149 278 298 556 596 695 745 1390 1490 2083 2780 2980 3475 3725 4166 6950 7450 8332 10415 13900 14900 20711 20830 41422 41660 52075 82844 103555 104150 207110 208300 289537 310367 414220 517775 579074 620734 1035550 1158148 1241468 1447685 1551835 2071100 2895370 3103670 5790740 6207340 7238425 7759175 14476850 15518350 28953700 31036700 43141013 86282026 172564052 215705065 431410130 862820260 1078525325 2157050650 4314101300