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100102392 = 23351317233
BaseRepresentation
bin1011111011101…
…11000011111000
320222100201200000
411331313003320
5201111234032
613533313000
72323566465
oct575670370
9228321600
10100102392
1151561455
1229635760
131797b2b0
14d41a66c
158bc4e7c
hex5f770f8

100102392 has 192 divisors, whose sum is σ = 321965280. Its totient is φ = 28864512.

The previous prime is 100102391. The next prime is 100102397. The reversal of 100102392 is 293201001.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 429508 + ... + 429740.

Almost surely, 2100102392 is an apocalyptic number.

100102392 is a gapful number since it is divisible by the number (12) 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 100102392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160982640).

100102392 is an abundant number, since it is smaller than the sum of its proper divisors (221862888).

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

100102392 is a wasteful number, since it uses less digits than its factorization.

100102392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 100102392 is about 10005.1182901553. The cubic root of 100102392 is about 464.3172498433.

Adding to 100102392 its reverse (293201001), we get a palindrome (393303393).

The spelling of 100102392 in words is "one hundred million, one hundred two thousand, three hundred ninety-two".