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110311002221121 = 32131709551684657
BaseRepresentation
bin11001000101001111001000…
…000110100010101001000001
3112110120121222102002112220100
4121011033020012202221001
5103424313413032033441
61030340101432433013
732143464320005512
oct3105171006425101
9473517872075810
10110311002221121
113216a6a6a52019
1210457017548769
13497238a624680
141d3511c370a09
15cb4697c4dcb6
hex6453c81a2a41

110311002221121 has 24 divisors (see below), whose sum is σ = 171695299262760. Its totient is φ = 67843972256256.

The previous prime is 110311002221099. The next prime is 110311002221129. The reversal of 110311002221121 is 121122200113011.

It is a happy number.

110311002221121 is a `hidden beast` number, since 1 + 10 + 311 + 0 + 0 + 2 + 221 + 121 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13931406950400 + 96379595270721 = 3732480^2 + 9817311^2 .

It is not a de Polignac number, because 110311002221121 - 211 = 110311002219073 is a prime.

It is a super-2 number, since 2×1103110022211212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110311002221094 and 110311002221103.

It is not an unprimeable number, because it can be changed into a prime (110311002221129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275642376 + ... + 276042281.

It is an arithmetic number, because the mean of its divisors is an integer number (7153970802615).

Almost surely, 2110311002221121 is an apocalyptic number.

It is an amenable number.

110311002221121 is a deficient number, since it is larger than the sum of its proper divisors (61384297041639).

110311002221121 is a wasteful number, since it uses less digits than its factorization.

110311002221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551686385 (or 551686382 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 110311002221121 its reverse (121122200113011), we get a palindrome (231433202334132).

The spelling of 110311002221121 in words is "one hundred ten trillion, three hundred eleven billion, two million, two hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 13 39 117 1709 5127 15381 22217 66651 199953 551684657 1655053971 4965161913 7171900541 21515701623 64547104869 942829078813 2828487236439 8485461709317 12256778024569 36770334073707 110311002221121