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1111002012112 = 24175577333153
BaseRepresentation
bin10000001010101100111…
…000010101100111010000
310221012200122021220001211
4100022230320111213100
5121200313003341422
62210215352505504
7143160444200416
oct20125470254720
93835618256054
101111002012112
1139919a743593
1215b3a03ab294
13809c8258705
143bab673d2b6
151dd767db577
hex102ace159d0

1111002012112 has 40 divisors (see below), whose sum is σ = 2283280162056. Its totient is φ = 521885761536.

The previous prime is 1111002012103. The next prime is 1111002012137. The reversal of 1111002012112 is 2112102001111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 151707134016 + 959294878096 = 389496^2 + 979436^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1111002012092 and 1111002012101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3515073 + ... + 3818080.

Almost surely, 21111002012112 is an apocalyptic number.

It is an amenable number.

1111002012112 is an abundant number, since it is smaller than the sum of its proper divisors (1172278149944).

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

1111002012112 is a wasteful number, since it uses less digits than its factorization.

1111002012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7333735 (or 7333729 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1111002012112 its reverse (2112102001111), we get a palindrome (3223104013223).

It can be divided in two parts, 111100 and 2012112, that added together give a palindrome (2123212).

The spelling of 1111002012112 in words is "one trillion, one hundred eleven billion, two million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 136 272 557 1114 2228 4456 8912 9469 18938 37876 75752 151504 7333153 14666306 29332612 58665224 117330448 124663601 249327202 498654404 997308808 1994617616 4084566221 8169132442 16338264884 32676529768 65353059536 69437625757 138875251514 277750503028 555501006056 1111002012112