| Base | Representation |
|---|---|
| bin | 101101111101010001110011… |
| … | …101100100110000110100000 |
| 3 | 222111122210001111122110111120 |
| 4 | 231331101303230212012200 |
| 5 | 202443041103104120000 |
| 6 | 1553514023214012240 |
| 7 | 60400624614605220 |
| oct | 5575216354460640 |
| 9 | 874583044573446 |
| 10 | 202123102020000 |
| 11 | 59447a2082a847 |
| 12 | 1a804989aa7080 |
| 13 | 88a2185591bb5 |
| 14 | 37cab4b7bc080 |
| 15 | 1857a445196a0 |
| hex | b7d473b261a0 |
202123102020000 has 480 divisors, whose sum is σ = 761527033344000. Its totient is φ = 45967388544000.
The previous prime is 202123102019999. The next prime is 202123102020001. The reversal of 202123102020000 is 20201321202.
It is a happy number.
202123102020000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (202123102019999) and next prime (202123102020001).
It is a tau number, because it is divible by the number of its divisors (480).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is not an unprimeable number, because it can be changed into a prime (202123102020001) by changing a digit.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 82370841 + ... + 84789159.
It is an arithmetic number, because the mean of its divisors is an integer number (1586514652800).
Almost surely, 2202123102020000 is an apocalyptic number.
202123102020000 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 202123102020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380763516672000).
202123102020000 is an abundant number, since it is smaller than the sum of its proper divisors (559403931324000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
202123102020000 is a wasteful number, since it uses less digits than its factorization.
202123102020000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2418558 (or 2418535 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 15.
Adding to 202123102020000 its reverse (20201321202), we get a palindrome (202143303341202).
The spelling of 202123102020000 in words is "two hundred two trillion, one hundred twenty-three billion, one hundred two million, twenty thousand".
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