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100011202300 = 225217421139739
BaseRepresentation
bin101110100100100100…
…0011101011011111100
3100120010221201110220201
41131021020131123330
53114310331433200
6113540003053244
710140241123162
oct1351110353374
9316127643821
10100011202300
11394617975a9
1217471671224
13957ac32619
144baa739232
1529051edc6a
hex174921d6fc

100011202300 has 72 divisors (see below), whose sum is σ = 230337913680. Its totient is φ = 37561574400.

The previous prime is 100011202271. The next prime is 100011202309. The reversal of 100011202300 is 3202110001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011202309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645831 + ... + 785569.

It is an arithmetic number, because the mean of its divisors is an integer number (3199137690).

Almost surely, 2100011202300 is an apocalyptic number.

100011202300 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 100011202300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115168956840).

100011202300 is an abundant number, since it is smaller than the sum of its proper divisors (130326711380).

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

100011202300 is a wasteful number, since it uses less digits than its factorization.

100011202300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140191 (or 140184 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 100011202300 its reverse (3202110001), we get a palindrome (103213312301).

The spelling of 100011202300 in words is "one hundred billion, eleven million, two hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 421 425 842 850 1684 1700 2105 4210 7157 8420 10525 14314 21050 28628 35785 42100 71570 139739 143140 178925 279478 357850 558956 698695 715700 1397390 2375563 2794780 3493475 4751126 6986950 9502252 11877815 13973900 23755630 47511260 58830119 59389075 117660238 118778150 235320476 237556300 294150595 588301190 1000112023 1176602380 1470752975 2000224046 2941505950 4000448092 5000560115 5883011900 10001120230 20002240460 25002800575 50005601150 100011202300