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1102412332241 = 112231303304009
BaseRepresentation
bin10000000010101100111…
…001010011110011010001
310220101112000021221110022
4100002230321103303101
5121030220024112431
62202235150113225
7142434543133103
oct20025471236321
93811460257408
101102412332241
11395592026a00
121597a37ab815
137cc597c11bc
143b4dda17573
151da2266107b
hex100ace53cd1

1102412332241 has 24 divisors (see below), whose sum is σ = 1265401495680. Its totient is φ = 957880566720.

The previous prime is 1102412332213. The next prime is 1102412332249. The reversal of 1102412332241 is 1422332142011.

It is a happy number.

It is not a de Polignac number, because 1102412332241 - 214 = 1102412315857 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1102412332241.

It is not an unprimeable number, because it can be changed into a prime (1102412332249) 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, 3474245 + ... + 3778253.

It is an arithmetic number, because the mean of its divisors is an integer number (52725062320).

Almost surely, 21102412332241 is an apocalyptic number.

1102412332241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1102412332241 is a deficient number, since it is larger than the sum of its proper divisors (162989163439).

1102412332241 is a wasteful number, since it uses less digits than its factorization.

1102412332241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305357 (or 305346 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 1102412332241 its reverse (1422332142011), we get a palindrome (2524744474252).

The spelling of 1102412332241 in words is "one trillion, one hundred two billion, four hundred twelve million, three hundred thirty-two thousand, two hundred forty-one".

Divisors: 1 11 23 121 253 1303 2783 14333 29969 157663 304009 329659 3344099 3626249 6992207 36785089 76914277 396123727 846057047 4357360997 9110845721 47930970967 100219302931 1102412332241