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12301213100 = 22521121375233
BaseRepresentation
bin10110111010011010…
…11001110110101100
31011202021220101001012
423131031121312230
5200143102304400
65352345404352
7613556405021
oct133515316654
934667811035
1012301213100
115242794520
1224737996b8
131210698827
14849a29548
154bee1dd35
hex2dd359dac

12301213100 has 72 divisors (see below), whose sum is σ = 29139520368. Its totient is φ = 4470220800.

The previous prime is 12301213063. The next prime is 12301213147. The reversal of 12301213100 is 131210321.

It is a super-2 number, since 2×123012131002 (a number of 21 digits) contains 22 as substring.

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, 2348084 + ... + 2353316.

Almost surely, 212301213100 is an apocalyptic number.

12301213100 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 12301213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14569760184).

12301213100 is an abundant number, since it is smaller than the sum of its proper divisors (16838307268).

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

12301213100 is a wasteful number, since it uses less digits than its factorization.

12301213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7395 (or 7388 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 12301213100 its reverse (131210321), we get a palindrome (12432423421).

The spelling of 12301213100 in words is "twelve billion, three hundred one million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 2137 4274 5233 8548 10466 10685 20932 21370 23507 26165 42740 47014 52330 53425 57563 94028 104660 106850 115126 117535 130825 213700 230252 235070 261650 287815 470140 523300 575630 587675 1151260 1175350 1439075 2350700 2878150 5756300 11182921 22365842 44731684 55914605 111829210 123012131 223658420 246024262 279573025 492048524 559146050 615060655 1118292100 1230121310 2460242620 3075303275 6150606550 12301213100