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1100013312020 = 2257231679832081
BaseRepresentation
bin10000000000011101111…
…001110001100000010100
310220011022211010002101112
4100000131321301200110
5121010311401441040
62201201130514152
7142321232610050
oct20003571614024
93804284102345
101100013312020
11394570923567
12159234295958
137c9667894cc
143b353170c60
151d931c30365
hex1001de71814

1100013312020 has 192 divisors, whose sum is σ = 2775464165376. Its totient is φ = 358052597760.

The previous prime is 1100013312019. The next prime is 1100013312091. The reversal of 1100013312020 is 202133100011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1100013311986 and 1100013312004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 528597380 + ... + 528599460.

It is an arithmetic number, because the mean of its divisors is an integer number (14455542528).

Almost surely, 21100013312020 is an apocalyptic number.

1100013312020 is a gapful number since it is divisible by the number (10) 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 1100013312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387732082688).

1100013312020 is an abundant number, since it is smaller than the sum of its proper divisors (1675450853356).

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

1100013312020 is a wasteful number, since it uses less digits than its factorization.

1100013312020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3270 (or 3268 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1100013312020 its reverse (202133100011), we get a palindrome (1302146412031).

The spelling of 1100013312020 in words is "one trillion, one hundred billion, thirteen million, three hundred twelve thousand, twenty".