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101110220010 = 23252693417173
BaseRepresentation
bin101111000101010100…
…0111000010011101010
3100122222112201100210100
41132022220320103222
53124033204020020
6114241022530230
710206414455352
oct1361250702352
9318875640710
10101110220010
11399760a08a8
1217719736976
1396c482b167
144c7269db62
15296b93da90
hex178aa384ea

101110220010 has 48 divisors (see below), whose sum is σ = 262984820904. Its totient is φ = 26952648576.

The previous prime is 101110220009. The next prime is 101110220021. The reversal of 101110220010 is 10022011101.

It is a happy number.

101110220010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 72490716081 + 28619503929 = 269241^2 + 169173^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101110219974 and 101110220001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33784 + ... + 450956.

Almost surely, 2101110220010 is an apocalyptic number.

101110220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101110220010 is an abundant number, since it is smaller than the sum of its proper divisors (161874600894).

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

101110220010 is a wasteful number, since it uses less digits than its factorization.

101110220010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419879 (or 419876 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101110220010 its reverse (10022011101), we get a palindrome (111132231111).

The spelling of 101110220010 in words is "one hundred one billion, one hundred ten million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2693 5386 8079 13465 16158 24237 26930 40395 48474 80790 121185 242370 417173 834346 1251519 2085865 2503038 3754557 4171730 6257595 7509114 12515190 18772785 37545570 1123446889 2246893778 3370340667 5617234445 6740681334 10111022001 11234468890 16851703335 20222044002 33703406670 50555110005 101110220010