| Base | Representation |
|---|---|
| bin | 11110100110001111001… |
| … | …010111000011000010000 |
| 3 | 21110000021122222222212200 |
| 4 | 132212033022320120100 |
| 5 | 233422202044031000 |
| 6 | 4245535005523200 |
| 7 | 304624255424610 |
| oct | 36461712703020 |
| 9 | 7400248888780 |
| 10 | 2102641002000 |
| 11 | 7407a8036870 |
| 12 | 29b60a273500 |
| 13 | 123380271696 |
| 14 | 73aa8586a40 |
| 15 | 39a63ee6500 |
| hex | 1e98f2b8610 |
2102641002000 has 1920 divisors, whose sum is σ = 9699013509120. Its totient is φ = 411586560000.
The previous prime is 2102641001999. The next prime is 2102641002001. The reversal of 2102641002000 is 2001462012.
2102641002000 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 641 + 0 + 0 + 20 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (2102641001999) and next prime (2102641002001).
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 (2102641002001) by changing a digit.
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 383 ways as a sum of consecutive naturals, for example, 2263337536 + ... + 2263338464.
It is an arithmetic number, because the mean of its divisors is an integer number (5051569536).
Almost surely, 22102641002000 is an apocalyptic number.
2102641002000 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 2102641002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4849506754560).
2102641002000 is an abundant number, since it is smaller than the sum of its proper divisors (7596372507120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2102641002000 is a wasteful number, since it uses less digits than its factorization.
2102641002000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1070 (or 1051 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 2102641002000 its reverse (2001462012), we get a palindrome (2104642464012).
The spelling of 2102641002000 in words is "two trillion, one hundred two billion, six hundred forty-one million, two thousand".
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