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12302102000 = 245323318627
BaseRepresentation
bin10110111010100001…
…10010110111110000
31011202100120112101102
423131100302313300
5200143314231000
65352420423532
7613600066406
oct133520626760
934670515342
1012302102000
115243241351
122473b47ba8
13121091a2c6
14849bbb476
154c00473d5
hex2dd432df0

12302102000 has 160 divisors (see below), whose sum is σ = 32044806144. Its totient is φ = 4554528000.

The previous prime is 12302101979. The next prime is 12302102017. The reversal of 12302102000 is 20120321.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1421687 + ... + 1430313.

Almost surely, 212302102000 is an apocalyptic number.

12302102000 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 12302102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16022403072).

12302102000 is an abundant number, since it is smaller than the sum of its proper divisors (19742704144).

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

12302102000 is a wasteful number, since it uses less digits than its factorization.

12302102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8704 (or 8688 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 12302102000 its reverse (20120321), we get a palindrome (12322222321).

The spelling of 12302102000 in words is "twelve billion, three hundred two million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 31 40 46 50 62 80 92 100 115 124 125 155 184 200 230 248 250 310 368 400 460 496 500 575 620 713 775 920 1000 1150 1240 1426 1550 1840 2000 2300 2480 2852 2875 3100 3565 3875 4600 5704 5750 6200 7130 7750 8627 9200 11408 11500 12400 14260 15500 17254 17825 23000 28520 31000 34508 35650 43135 46000 57040 62000 69016 71300 86270 89125 138032 142600 172540 178250 198421 215675 267437 285200 345080 356500 396842 431350 534874 690160 713000 793684 862700 992105 1069748 1078375 1337185 1426000 1587368 1725400 1984210 2139496 2156750 2674370 3174736 3450800 3968420 4278992 4313500 4960525 5348740 6151051 6685925 7936840 8627000 9921050 10697480 12302102 13371850 15873680 17254000 19842100 21394960 24604204 24802625 26743700 30755255 33429625 39684200 49208408 49605250 53487400 61510510 66859250 79368400 98416816 99210500 106974800 123021020 133718500 153776275 198421000 246042040 267437000 307552550 396842000 492084080 534874000 615105100 768881375 1230210200 1537762750 2460420400 3075525500 6151051000 12302102000