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100230122200 = 235213233674567
BaseRepresentation
bin101110101011000101…
…1100100101011011000
3100120201012122202120011
41131112023210223120
53120232402402300
6114013423211304
710145536660465
oct1352613445330
9316635582504
10100230122200
113956432233a
1217512a46b34
1395b43b2520
144bcb84466c
152919543eba
hex17562e4ad8

100230122200 has 192 divisors, whose sum is σ = 262643189760. Its totient is φ = 35294814720.

The previous prime is 100230122173. The next prime is 100230122203. The reversal of 100230122200 is 2221032001.

100230122200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100230122203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21944317 + ... + 21948883.

It is an arithmetic number, because the mean of its divisors is an integer number (1367933280).

Almost surely, 2100230122200 is an apocalyptic number.

100230122200 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 100230122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131321594880).

100230122200 is an abundant number, since it is smaller than the sum of its proper divisors (162413067560).

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

100230122200 is a wasteful number, since it uses less digits than its factorization.

100230122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4986 (or 4977 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 100230122200 its reverse (2221032001), we get a palindrome (102451154201).

The spelling of 100230122200 in words is "one hundred billion, two hundred thirty million, one hundred twenty-two thousand, two hundred".