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100123202144 = 257263854083
BaseRepresentation
bin101110100111111001…
…1101101001001100000
3100120102202110122211002
41131033303231021200
53120023014432034
6113555043411132
710143101114300
oct1351763551140
9316382418732
10100123202144
1139509a34759
12174a3083aa8
1395981b8014
144bbb571600
15290ee73e7e
hex174fced260

100123202144 has 36 divisors (see below), whose sum is σ = 229300015644. Its totient is φ = 42909943104.

The previous prime is 100123202129. The next prime is 100123202147. The reversal of 100123202144 is 441202321001.

100123202144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100123202147) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31925474 + ... + 31928609.

It is an arithmetic number, because the mean of its divisors is an integer number (6369444879).

Almost surely, 2100123202144 is an apocalyptic number.

100123202144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100123202144 is an abundant number, since it is smaller than the sum of its proper divisors (129176813500).

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

100123202144 is an equidigital number, since it uses as much as digits as its factorization.

100123202144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63854107 (or 63854092 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 100123202144 its reverse (441202321001), we get a palindrome (541325523145).

The spelling of 100123202144 in words is "one hundred billion, one hundred twenty-three million, two hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 63854083 127708166 255416332 446978581 510832664 893957162 1021665328 1787914324 2043330656 3128850067 3575828648 6257700134 7151657296 12515400268 14303314592 25030800536 50061601072 100123202144