Search a number
-
+
122311105431108 = 223116131511581213
BaseRepresentation
bin11011110011110111000101…
…111111011100011001000100
3121001001211100020101021011220
4123303313011333130121010
5112012421120442243413
61112044540211000340
734522454133213006
oct3363670577343104
9531054306337156
10122311105431108
1135a76937410030
12118748658990b0
135332b7050cb49
14222bc63938376
15e218d4c5a223
hex6f3dc5fdc644

122311105431108 has 48 divisors (see below), whose sum is σ = 311845250773056. Its totient is φ = 37003508069760.

The previous prime is 122311105431107. The next prime is 122311105431139. The reversal of 122311105431108 is 801134501113221.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (122311105431101) 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, 755709691 + ... + 755871522.

It is an arithmetic number, because the mean of its divisors is an integer number (6496776057772).

Almost surely, 2122311105431108 is an apocalyptic number.

It is an amenable number.

122311105431108 is an abundant number, since it is smaller than the sum of its proper divisors (189534145341948).

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

122311105431108 is a wasteful number, since it uses less digits than its factorization.

122311105431108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511581844 (or 1511581842 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

Adding to 122311105431108 its reverse (801134501113221), we get a palindrome (923445606544329).

The spelling of 122311105431108 in words is "one hundred twenty-two trillion, three hundred eleven billion, one hundred five million, four hundred thirty-one thousand, one hundred eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 613 1226 1839 2452 3678 6743 7356 13486 20229 26972 40458 80916 1511581213 3023162426 4534743639 6046324852 9069487278 16627393343 18138974556 33254786686 49882180029 66509573372 99764360058 199528720116 926599283569 1853198567138 2779797850707 3706397134276 5559595701414 10192592119259 11119191402828 20385184238518 30577776357777 40770368477036 61155552715554 122311105431108