| Base | Representation |
|---|---|
| bin | 10111001100010011110110… |
| … | …110000110010101110000000 |
| 3 | 111101011012110200201222202100 |
| 4 | 113030103312300302232000 |
| 5 | 101332141043433044300 |
| 6 | 1000534342341150400 |
| 7 | 30325221305623230 |
| oct | 2714236660625600 |
| 9 | 441135420658670 |
| 10 | 102001023331200 |
| 11 | 2a556433566924 |
| 12 | b5345943bb400 |
| 13 | 44bb8696c5c26 |
| 14 | 1b28c39563cc0 |
| 15 | bbd43253b700 |
| hex | 5cc4f6c32b80 |
102001023331200 has 576 divisors, whose sum is σ = 416114985686400. Its totient is φ = 23305706311680.
The previous prime is 102001023331183. The next prime is 102001023331217. The reversal of 102001023331200 is 2133320100201.
102001023331200 is a `hidden beast` number, since 1 + 0 + 200 + 1 + 0 + 233 + 31 + 200 = 666.
It is an interprime number because it is at equal distance from previous prime (102001023331183) and next prime (102001023331217).
It is a tau number, because it is divible by the number of its divisors (576).
It is a super-2 number, since 2×1020010233312002 (a number of 29 digits) contains 22 as substring.
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 71 ways as a sum of consecutive naturals, for example, 540798511 + ... + 540987089.
It is an arithmetic number, because the mean of its divisors is an integer number (722421850150).
Almost surely, 2102001023331200 is an apocalyptic number.
102001023331200 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 102001023331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208057492843200).
102001023331200 is an abundant number, since it is smaller than the sum of its proper divisors (314113962355200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102001023331200 is a wasteful number, since it uses less digits than its factorization.
102001023331200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 191299 (or 191279 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 102001023331200 its reverse (2133320100201), we get a palindrome (104134343431401).
The spelling of 102001023331200 in words is "one hundred two trillion, one billion, twenty-three million, three hundred thirty-one thousand, two hundred".
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