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163258242100 = 225214910956929
BaseRepresentation
bin1001100000001011110…
…0110001010000110100
3120121101202011222220021
42120002330301100310
510133323102221400
6202555542414524
714536456106212
oct2300274612064
9517352158807
10163258242100
1163268026728
1227782a31444
131251a2bb225
147c8a53dcb2
1543a7a4271a
hex2602f31434

163258242100 has 36 divisors (see below), whose sum is σ = 356648071500. Its totient is φ = 64865013760.

The previous prime is 163258242079. The next prime is 163258242107. The reversal of 163258242100 is 1242852361.

It can be written as a sum of positive squares in 6 ways, for example, as 55849978276 + 107408263824 = 236326^2 + 327732^2 .

It is a super-2 number, since 2×1632582421002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163258242107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5463565 + ... + 5493364.

It is an arithmetic number, because the mean of its divisors is an integer number (9906890875).

Almost surely, 2163258242100 is an apocalyptic number.

163258242100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

163258242100 is an abundant number, since it is smaller than the sum of its proper divisors (193389829400).

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

163258242100 is a wasteful number, since it uses less digits than its factorization.

163258242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10957092 (or 10957085 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 163258242100 in words is "one hundred sixty-three billion, two hundred fifty-eight million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 298 596 745 1490 2980 3725 7450 14900 10956929 21913858 43827716 54784645 109569290 219138580 273923225 547846450 1095692900 1632582421 3265164842 6530329684 8162912105 16325824210 32651648420 40814560525 81629121050 163258242100