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1111331101032 = 233262549246769
BaseRepresentation
bin10000001011000000011…
…111101101100101101000
310221020112120112100012100
4100023000133231211220
5121202001230213112
62210312150213400
7143201551332345
oct20130037554550
93836476470170
101111331101032
113993494859a9
1215b472654260
1380a4b49c899
143bb083257cc
151dd956442dc
hex102c07ed968

1111331101032 has 48 divisors (see below), whose sum is σ = 3009915382500. Its totient is φ = 370436276736.

The previous prime is 1111331101009. The next prime is 1111331101079. The reversal of 1111331101032 is 2301011331111.

It can be written as a sum of positive squares in 2 ways, for example, as 953329620996 + 158001480036 = 976386^2 + 397494^2 .

It is a super-2 number, since 2×11113311010322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1111331100996 and 1111331101014.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4380144 + ... + 4626912.

Almost surely, 21111331101032 is an apocalyptic number.

1111331101032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1111331101032 is an abundant number, since it is smaller than the sum of its proper divisors (1898584281468).

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

1111331101032 is a wasteful number, since it uses less digits than its factorization.

1111331101032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309330 (or 309323 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1111331101032 its reverse (2301011331111), we get a palindrome (3412342432143).

The spelling of 1111331101032 in words is "one trillion, one hundred eleven billion, three hundred thirty-one million, one hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 62549 125098 187647 246769 250196 375294 493538 500392 562941 740307 750588 987076 1125882 1480614 1501176 1974152 2220921 2251764 2961228 4441842 4503528 5922456 8883684 17767368 15435154181 30870308362 46305462543 61740616724 92610925086 123481233448 138916387629 185221850172 277832775258 370443700344 555665550516 1111331101032