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122113313010 = 232513104370353
BaseRepresentation
bin111000110111010000…
…1010100100011110010
3102200012021202000221200
41301232201110203302
54000042002004020
6132033104032030
711552040014553
oct1615641244362
9380167660850
10122113313010
11478738664a7
121b7bb602616
13b690c86a40
145ca5c9a32a
15329a79c590
hex1c6e8548f2

122113313010 has 48 divisors (see below), whose sum is σ = 341917279704. Its totient is φ = 30058661376.

The previous prime is 122113313009. The next prime is 122113313093. The reversal of 122113313010 is 10313311221.

122113313010 is a `hidden beast` number, since 1 + 22 + 11 + 331 + 301 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 93987004329 + 28126308681 = 306573^2 + 167709^2 .

It is a super-2 number, since 2×1221133130102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 52184007 + ... + 52186346.

Almost surely, 2122113313010 is an apocalyptic number.

122113313010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122113313010 is an abundant number, since it is smaller than the sum of its proper divisors (219803966694).

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

122113313010 is a wasteful number, since it uses less digits than its factorization.

122113313010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104370379 (or 104370376 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 122113313010 its reverse (10313311221), we get a palindrome (132426624231).

The spelling of 122113313010 in words is "one hundred twenty-two billion, one hundred thirteen million, three hundred thirteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 104370353 208740706 313111059 521851765 626222118 939333177 1043703530 1356814589 1565555295 1878666354 2713629178 3131110590 4070443767 4696665885 6784072945 8140887534 9393331770 12211331301 13568145890 20352218835 24422662602 40704437670 61056656505 122113313010