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1101137398452 = 22327132831512063
BaseRepresentation
bin10000000001100000111…
…001110100101010110100
310220021020011021121002100
4100001200321310222310
5121020112133222302
62201504443542100
7142361132312010
oct20014071645264
93807204247070
101101137398452
11394a9839a313
121594a882a930
137cab5621600
143b41c57d540
151d99a772d1c
hex10060e74ab4

1101137398452 has 432 divisors, whose sum is σ = 3510872322048. Its totient is φ = 284872723200.

The previous prime is 1101137398447. The next prime is 1101137398463. The reversal of 1101137398452 is 2548937311011.

1101137398452 is a `hidden beast` number, since 1 + 10 + 113 + 73 + 9 + 8 + 452 = 666.

It is a super-2 number, since 2×11011373984522 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1101137398398 and 1101137398407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 533754373 + ... + 533756435.

It is an arithmetic number, because the mean of its divisors is an integer number (8127019264).

Almost surely, 21101137398452 is an apocalyptic number.

1101137398452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101137398452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755436161024).

1101137398452 is an abundant number, since it is smaller than the sum of its proper divisors (2409734923596).

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

1101137398452 is a wasteful number, since it uses less digits than its factorization.

1101137398452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 1101137398452 in words is "one trillion, one hundred one billion, one hundred thirty-seven million, three hundred ninety-eight thousand, four hundred fifty-two".