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100302121300 = 225231136723669
BaseRepresentation
bin101110101101001111…
…0001110100101010100
3100120220020010200202111
41131122132032211110
53120404320340200
6114024514320404
710150402651423
oct1353236164524
9316806120674
10100302121300
11395a0a29327
1217532b89104
1395c62a0c44
144bd72272ba
152920a170ba
hex175a78e954

100302121300 has 72 divisors (see below), whose sum is σ = 224850608640. Its totient is φ = 38796585600.

The previous prime is 100302121267. The next prime is 100302121313. The reversal of 100302121300 is 3121203001.

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, 4225866 + ... + 4249534.

It is an arithmetic number, because the mean of its divisors is an integer number (3122925120).

Almost surely, 2100302121300 is an apocalyptic number.

100302121300 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 100302121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112425304320).

100302121300 is an abundant number, since it is smaller than the sum of its proper divisors (124548487340).

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

100302121300 is a wasteful number, since it uses less digits than its factorization.

100302121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25081 (or 25074 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100302121300 its reverse (3121203001), we get a palindrome (103423324301).

The spelling of 100302121300 in words is "one hundred billion, three hundred two million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1367 1550 2734 3100 5468 6835 13670 23669 27340 34175 42377 47338 68350 84754 94676 118345 136700 169508 211885 236690 423770 473380 591725 733739 847540 1059425 1183450 1467478 2118850 2366900 2934956 3668695 4237700 7337390 14674780 18343475 32355523 36686950 64711046 73373900 129422092 161777615 323555230 647110460 808888075 1003021213 1617776150 2006042426 3235552300 4012084852 5015106065 10030212130 20060424260 25075530325 50151060650 100302121300