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101110400220 = 22359717372921
BaseRepresentation
bin101111000101010100…
…1100100010011011100
3100122222120001111222210
41132022221210103130
53124033230301340
6114241030440420
710206416135634
oct1361251442334
9318876044883
10101110400220
1139976204235
1217719803110
1396c48921ab
144c727096c4
15296b977180
hex178aa644dc

101110400220 has 48 divisors (see below), whose sum is σ = 286027787808. Its totient is φ = 26684805120.

The previous prime is 101110400191. The next prime is 101110400227. The reversal of 101110400220 is 22004011101.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 101110400196 and 101110400205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110400227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8680641 + ... + 8692280.

It is an arithmetic number, because the mean of its divisors is an integer number (5958912246).

Almost surely, 2101110400220 is an apocalyptic number.

101110400220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110400220 is an abundant number, since it is smaller than the sum of its proper divisors (184917387588).

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

101110400220 is a wasteful number, since it uses less digits than its factorization.

101110400220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17373030 (or 17373028 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101110400220 its reverse (22004011101), we get a palindrome (123114411321).

The spelling of 101110400220 in words is "one hundred one billion, one hundred ten million, four hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1455 1940 2910 5820 17372921 34745842 52118763 69491684 86864605 104237526 173729210 208475052 260593815 347458420 521187630 1042375260 1685173337 3370346674 5055520011 6740693348 8425866685 10111040022 16851733370 20222080044 25277600055 33703466740 50555200110 101110400220