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100202012300 = 225213199387329
BaseRepresentation
bin101110101010010000…
…0010101111010001100
3100120122020202122000202
41131110200111322030
53120203203343200
6114010540513032
710145046023435
oct1352440257214
9316566678022
10100202012300
113954a472a15
121750554b778
1395ab61c950
144bc7c0848c
152916d401d5
hex1754815e8c

100202012300 has 72 divisors (see below), whose sum is σ = 235341708000. Its totient is φ = 36811653120.

The previous prime is 100202012297. The next prime is 100202012311. The reversal of 100202012300 is 3210202001.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65036 + ... + 452364.

Almost surely, 2100202012300 is an apocalyptic number.

100202012300 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 100202012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117670854000).

100202012300 is an abundant number, since it is smaller than the sum of its proper divisors (135139695700).

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

100202012300 is a wasteful number, since it uses less digits than its factorization.

100202012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387555 (or 387548 counting only the distinct ones).

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

Adding to 100202012300 its reverse (3210202001), we get a palindrome (103412214301).

The spelling of 100202012300 in words is "one hundred billion, two hundred two million, twelve thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 199 260 325 398 650 796 995 1300 1990 2587 3980 4975 5174 9950 10348 12935 19900 25870 51740 64675 129350 258700 387329 774658 1549316 1936645 3873290 5035277 7746580 9683225 10070554 19366450 20141108 25176385 38732900 50352770 77078471 100705540 125881925 154156942 251763850 308313884 385392355 503527700 770784710 1002020123 1541569420 1926961775 2004040246 3853923550 4008080492 5010100615 7707847100 10020201230 20040402460 25050503075 50101006150 100202012300