| Base | Representation |
|---|---|
| bin | 10110111111101100101100… |
| … | …100111010001000110110100 |
| 3 | 111021002100102021120021221022 |
| 4 | 112333230230213101012310 |
| 5 | 101223441113403110400 |
| 6 | 555032250450440312 |
| 7 | 30205500211061660 |
| oct | 2677545447210664 |
| 9 | 437070367507838 |
| 10 | 101134343410100 |
| 11 | 2a25191a319520 |
| 12 | b41461ab93098 |
| 13 | 4457c0a0c4550 |
| 14 | 1ad8cdd50b8a0 |
| 15 | ba5b0a355b85 |
| hex | 5bfb2c9d11b4 |
101134343410100 has 288 divisors, whose sum is σ = 296307835084800. Its totient is φ = 28935031795200.
The previous prime is 101134343410043. The next prime is 101134343410123. The reversal of 101134343410100 is 1014343431101.
101134343410100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (26).
It is a self number, because there is not a number n which added to its sum of digits gives 101134343410100.
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, 15095741 + ... + 20740059.
It is an arithmetic number, because the mean of its divisors is an integer number (1028846649600).
Almost surely, 2101134343410100 is an apocalyptic number.
101134343410100 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 101134343410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148153917542400).
101134343410100 is an abundant number, since it is smaller than the sum of its proper divisors (195173491674700).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101134343410100 is a wasteful number, since it uses less digits than its factorization.
101134343410100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5644543 (or 5644536 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 26.
Adding to 101134343410100 its reverse (1014343431101), we get a palindrome (102148686841201).
The spelling of 101134343410100 in words is "one hundred one trillion, one hundred thirty-four billion, three hundred forty-three million, four hundred ten thousand, one hundred".
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