| Base | Representation |
|---|---|
| bin | 101111001000111100… |
| … | …1111011101110111000 |
| 3 | 100200022001010002020012 |
| 4 | 1132101321323232320 |
| 5 | 3124310411143000 |
| 6 | 114301055521052 |
| 7 | 10212424626110 |
| oct | 1362171735670 |
| 9 | 320261102205 |
| 10 | 101232131000 |
| 11 | 39a28998390 |
| 12 | 17752529188 |
| 13 | 9713b73b40 |
| 14 | 4c84956040 |
| 15 | 29774c0735 |
| hex | 1791e7bbb8 |
101232131000 has 512 divisors, whose sum is σ = 331956817920. Its totient is φ = 27853056000.
The previous prime is 101232130963. The next prime is 101232131009. The reversal of 101232131000 is 131232101.
It is a super-2 number, since 2×1012321310002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (14).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (101232131009) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23020802 + ... + 23025198.
It is an arithmetic number, because the mean of its divisors is an integer number (648353160).
Almost surely, 2101232131000 is an apocalyptic number.
101232131000 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 101232131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165978408960).
101232131000 is an abundant number, since it is smaller than the sum of its proper divisors (230724686920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101232131000 is a wasteful number, since it uses less digits than its factorization.
101232131000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4472 (or 4458 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 14.
Adding to 101232131000 its reverse (131232101), we get a palindrome (101363363101).
It can be divided in two parts, 101232 and 131000, that added together give a palindrome (232232).
The spelling of 101232131000 in words is "one hundred one billion, two hundred thirty-two million, one hundred thirty-one thousand".
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