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163242100 = 22527613823
BaseRepresentation
bin10011011101011…
…10000001110100
3102101011120001201
421232232001310
5313242221400
624110502244
74021351330
oct1156560164
9371146051
10163242100
118416722a
1246804984
1327a87378
14179747c0
15e4e806a
hex9bae074

163242100 has 72 divisors (see below), whose sum is σ = 411584768. Its totient is φ = 55036800.

The previous prime is 163242077. The next prime is 163242103. The reversal of 163242100 is 1242361.

163242100 is digitally balanced in base 2, 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 (163242103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40789 + ... + 44611.

Almost surely, 2163242100 is an apocalyptic number.

163242100 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 163242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205792384).

163242100 is an abundant number, since it is smaller than the sum of its proper divisors (248342668).

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

163242100 is a wasteful number, since it uses less digits than its factorization.

163242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3905 (or 3898 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 163242100 is about 12776.6231845508. The cubic root of 163242100 is about 546.5258701122.

Adding to 163242100 its reverse (1242361), we get a palindrome (164484461).

The spelling of 163242100 in words is "one hundred sixty-three million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 61 70 100 122 140 175 244 305 350 427 610 700 854 1220 1525 1708 2135 3050 3823 4270 6100 7646 8540 10675 15292 19115 21350 26761 38230 42700 53522 76460 95575 107044 133805 191150 233203 267610 382300 466406 535220 669025 932812 1166015 1338050 1632421 2332030 2676100 3264842 4664060 5830075 6529684 8162105 11660150 16324210 23320300 32648420 40810525 81621050 163242100