| Base | Representation |
|---|---|
| bin | 10110110010010010101111… |
| … | …011111110110100011101000 |
| 3 | 111010211021120201122222101200 |
| 4 | 112302102233133312203220 |
| 5 | 101113342433024004000 |
| 6 | 553045134500044200 |
| 7 | 30052105365334143 |
| oct | 2662225737664350 |
| 9 | 433737521588350 |
| 10 | 100213121313000 |
| 11 | 29a27167481003 |
| 12 | b2a5b83693660 |
| 13 | 43bc097a00547 |
| 14 | 1aa64ab7db05a |
| 15 | b8bb8eb5a500 |
| hex | 5b24af7f68e8 |
100213121313000 has 768 divisors, whose sum is σ = 374395104944640. Its totient is φ = 24047907840000.
The previous prime is 100213121312963. The next prime is 100213121313001. The reversal of 100213121313000 is 313121312001.
100213121313000 is a `hidden beast` number, since 1 + 0 + 0 + 21 + 312 + 1 + 31 + 300 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (100213121313001) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11616214687 + ... + 11616223313.
It is an arithmetic number, because the mean of its divisors is an integer number (487493626230).
Almost surely, 2100213121313000 is an apocalyptic number.
100213121313000 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 100213121313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187197552472320).
100213121313000 is an abundant number, since it is smaller than the sum of its proper divisors (274181983631640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100213121313000 is a wasteful number, since it uses less digits than its factorization.
100213121313000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11995 (or 11978 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 18.
Adding to 100213121313000 its reverse (313121312001), we get a palindrome (100526242625001).
Subtracting from 100213121313000 its reverse (313121312001), we obtain a palindrome (99900000000999).
The spelling of 100213121313000 in words is "one hundred trillion, two hundred thirteen billion, one hundred twenty-one million, three hundred thirteen thousand".
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