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100123021332 = 22322781195037
BaseRepresentation
bin101110100111111001…
…1000001000000010100
3100120102202010110210100
41131033303001000110
53120022443140312
6113555035454100
710143066432165
oct1351763010024
9316382113710
10100123021332
1139509920924
12174a2bb7330
139598153929
144bbb52576c
15290ee3a5dc
hex174fcc1014

100123021332 has 18 divisors (see below), whose sum is σ = 253088748458. Its totient is φ = 33374340432.

The previous prime is 100123021309. The next prime is 100123021393. The reversal of 100123021332 is 233120321001.

100123021332 is a `hidden beast` number, since 100 + 1 + 230 + 2 + 1 + 332 = 666.

It can be written as a sum of positive squares in only one way, i.e., 60838195716 + 39284825616 = 246654^2 + 198204^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1390597483 + ... + 1390597554.

Almost surely, 2100123021332 is an apocalyptic number.

100123021332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100123021332 is an abundant number, since it is smaller than the sum of its proper divisors (152965727126).

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

100123021332 is a wasteful number, since it uses less digits than its factorization.

100123021332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781195047 (or 2781195042 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100123021332 its reverse (233120321001), we get a palindrome (333243342333).

The spelling of 100123021332 in words is "one hundred billion, one hundred twenty-three million, twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2781195037 5562390074 8343585111 11124780148 16687170222 25030755333 33374340444 50061510666 100123021332