| Base | Representation |
|---|---|
| bin | 1001101000001111001010… |
| … | …11000010010100110100100 |
| 3 | 2202222012010111101201220000 |
| 4 | 10310013211120102212210 |
| 5 | 10233402310442331400 |
| 6 | 113011025521541300 |
| 7 | 4313516032503336 |
| oct | 464074530224644 |
| 9 | 82865114351800 |
| 10 | 21173742152100 |
| 11 | 68238084a038a |
| 12 | 245b7434a4830 |
| 13 | ba78a1898525 |
| 14 | 532b59331456 |
| 15 | 26ab9e738600 |
| hex | 1341e56129a4 |
21173742152100 has 180 divisors, whose sum is σ = 68683042220100. Its totient is φ = 5642535997440.
The previous prime is 21173742152099. The next prime is 21173742152249. The reversal of 21173742152100 is 125124737112.
21173742152100 is a `hidden beast` number, since 2 + 1 + 17 + 3 + 7 + 421 + 5 + 210 + 0 = 666.
It can be written as a sum of positive squares in 6 ways, for example, as 36349710336 + 21137392441764 = 190656^2 + 4597542^2 .
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 (36).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11183116 + ... + 12938684.
Almost surely, 221173742152100 is an apocalyptic number.
21173742152100 is a gapful number since it is divisible by the number (20) 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 21173742152100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34341521110050).
21173742152100 is an abundant number, since it is smaller than the sum of its proper divisors (47509300068000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21173742152100 is a wasteful number, since it uses less digits than its factorization.
21173742152100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1757084 (or 1757068 counting only the distinct ones).
The product of its (nonzero) digits is 23520, while the sum is 36.
Adding to 21173742152100 its reverse (125124737112), we get a palindrome (21298866889212).
The spelling of 21173742152100 in words is "twenty-one trillion, one hundred seventy-three billion, seven hundred forty-two million, one hundred fifty-two thousand, one hundred".
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