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134630100 = 223452111511
BaseRepresentation
bin10000000011001…
…00101011010100
3100101022220210000
420001210223110
5233431130400
621205331300
73223223403
oct1001445324
9311286700
10134630100
1169aa4650
1239106b30
1321b7a0a7
1413c4763a
15bc45600
hex8064ad4

134630100 has 180 divisors, whose sum is σ = 476407008. Its totient is φ = 32616000.

The previous prime is 134630099. The next prime is 134630113. The reversal of 134630100 is 1036431.

134630100 is a `hidden beast` number, since 1 + 34 + 630 + 1 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 59 ways as a sum of consecutive naturals, for example, 88345 + ... + 89855.

Almost surely, 2134630100 is an apocalyptic number.

134630100 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 134630100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238203504).

134630100 is an abundant number, since it is smaller than the sum of its proper divisors (341776908).

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

134630100 is a wasteful number, since it uses less digits than its factorization.

134630100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1532 counting only the distinct ones).

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

The square root of 134630100 is about 11603.0211583018. The cubic root of 134630100 is about 512.5238220138.

Adding to 134630100 its reverse (1036431), we get a palindrome (135666531).

The spelling of 134630100 in words is "one hundred thirty-four million, six hundred thirty thousand, one hundred".