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100110023031000 = 23353236772143087
BaseRepresentation
bin10110110000110010101110…
…010111000111100011011000
3111010110102110122001121020210
4112300302232113013203120
5101110200311343443000
6552525524254051120
730041465460364413
oct2660625627074330
9433412418047223
10100110023031000
1129997471157874
12b289bb01a9aa0
1343b2447347a58
141aa14cb0acb7a
15b89158916350
hex5b0cae5c78d8

100110023031000 has 256 divisors, whose sum is σ = 326404989480960. Its totient is φ = 25497579993600.

The previous prime is 100110023030999. The next prime is 100110023031017. The reversal of 100110023031000 is 130320011001.

100110023031000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1001100230310002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45641457 + ... + 47784543.

It is an arithmetic number, because the mean of its divisors is an integer number (1275019490160).

Almost surely, 2100110023031000 is an apocalyptic number.

100110023031000 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 100110023031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163202494740480).

100110023031000 is an abundant number, since it is smaller than the sum of its proper divisors (226294966449960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100110023031000 is a wasteful number, since it uses less digits than its factorization.

100110023031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143811 (or 2143797 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100110023031000 its reverse (130320011001), we get a palindrome (100240343042001).

It can be divided in two parts, 1001 and 10023031000, that added together give a palindrome (10023032001).

The spelling of 100110023031000 in words is "one hundred trillion, one hundred ten billion, twenty-three million, thirty-one thousand".