| Base | Representation |
|---|---|
| bin | 1011001011100001… |
| … | …1000101011100000 |
| 3 | 21202011010222101000 |
| 4 | 2302320120223200 |
| 5 | 22121242004400 |
| 6 | 1213444312000 |
| 7 | 134241101214 |
| oct | 26270305340 |
| 9 | 7664128330 |
| 10 | 3001125600 |
| 11 | 130006a0a0 |
| 12 | 6b90a2600 |
| 13 | 38a9b9985 |
| 14 | 20681a944 |
| 15 | 128717600 |
| hex | b2e18ae0 |
3001125600 has 576 divisors, whose sum is σ = 12554196480. Its totient is φ = 683827200.
The previous prime is 3001125587. The next prime is 3001125613. The reversal of 3001125600 is 65211003.
3001125600 is a `hidden beast` number, since 30 + 0 + 11 + 25 + 600 = 666.
It is an interprime number because it is at equal distance from previous prime (3001125587) and next prime (3001125613).
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 95 ways as a sum of consecutive naturals, for example, 4038829 + ... + 4039571.
It is an arithmetic number, because the mean of its divisors is an integer number (21795480).
Almost surely, 23001125600 is an apocalyptic number.
3001125600 is a gapful number since it is divisible by the number (30) 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 3001125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6277098240).
3001125600 is an abundant number, since it is smaller than the sum of its proper divisors (9553070880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3001125600 is a wasteful number, since it uses less digits than its factorization.
3001125600 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 800 (or 781 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 18.
The square root of 3001125600 is about 54782.5300620554. The cubic root of 3001125600 is about 1442.4299250992.
Adding to 3001125600 its reverse (65211003), we get a palindrome (3066336603).
It can be divided in two parts, 30011 and 25600, that added together give a triangular number (55611 = T333).
The spelling of 3001125600 in words is "three billion, one million, one hundred twenty-five thousand, six hundred".
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