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100130292 = 22322781397
BaseRepresentation
bin1011111011111…
…01110111110100
320222102010221100
411331331313310
5201113132132
613534050100
72324044023
oct575756764
9228363840
10100130292
1151580409
1229649930
131798abc2
14d4268ba
158bcd37c
hex5f7ddf4

100130292 has 18 divisors (see below), whose sum is σ = 253107218. Its totient is φ = 33376752.

The previous prime is 100130291. The next prime is 100130297. The reversal of 100130292 is 292031001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 84162276 + 15968016 = 9174^2 + 3996^2 .

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 not an unprimeable number, because it can be changed into a prime (100130291) 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, 1390663 + ... + 1390734.

Almost surely, 2100130292 is an apocalyptic number.

100130292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100130292 is an abundant number, since it is smaller than the sum of its proper divisors (152976926).

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

100130292 is a wasteful number, since it uses less digits than its factorization.

100130292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781407 (or 2781402 counting only the distinct ones).

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

The square root of 100130292 is about 10006.5124793806. The cubic root of 100130292 is about 464.3603831713.

Adding to 100130292 its reverse (292031001), we get a palindrome (392161293).

The spelling of 100130292 in words is "one hundred million, one hundred thirty thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 2781397 5562794 8344191 11125588 16688382 25032573 33376764 50065146 100130292