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1111131000020 = 225173268032353
BaseRepresentation
bin10000001010110100100…
…100011000110011010100
310221020000122000011012202
4100022310210120303110
5121201044014000040
62210240241304032
7143163601444436
oct20126444306324
93836018004182
101111131000020
11399256534068
1215b417635018
1380a18bab612
143bac9918656
151dd82cba015
hex102b4918cd4

1111131000020 has 24 divisors (see below), whose sum is σ = 2470632459624. Its totient is φ = 418308141056.

The previous prime is 1111131000013. The next prime is 1111131000041. The reversal of 1111131000020 is 200001311111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 393786370576 + 717344629444 = 627524^2 + 846962^2 .

It is a super-2 number, since 2×11111310000202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1111130999965 and 1111131000010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1634015837 + ... + 1634016516.

It is an arithmetic number, because the mean of its divisors is an integer number (102943019151).

Almost surely, 21111131000020 is an apocalyptic number.

1111131000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1111131000020 is an abundant number, since it is smaller than the sum of its proper divisors (1359501459604).

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

1111131000020 is a wasteful number, since it uses less digits than its factorization.

1111131000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3268032379 (or 3268032377 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 1111131000020 its reverse (200001311111), we get a palindrome (1311132311131).

The spelling of 1111131000020 in words is "one trillion, one hundred eleven billion, one hundred thirty-one million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 3268032353 6536064706 13072129412 16340161765 32680323530 55556550001 65360647060 111113100002 222226200004 277782750005 555565500010 1111131000020