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1112100021 = 32877140897
BaseRepresentation
bin100001001001001…
…0100110010110101
32212111121112102200
41002102110302311
54234144200041
6302204055113
736362460054
oct10222246265
92774545380
101112100021
1152082a22a
12270534499
13149529366
14a79ac39b
15679761b6
hex42494cb5

1112100021 has 12 divisors (see below), whose sum is σ = 1608209772. Its totient is φ = 740549376.

The previous prime is 1112099993. The next prime is 1112100023. The reversal of 1112100021 is 1200012111.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 831168900 + 280931121 = 28830^2 + 16761^2 .

It is not a de Polignac number, because 1112100021 - 27 = 1112099893 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1112099976 and 1112100012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112100023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62556 + ... + 78341.

It is an arithmetic number, because the mean of its divisors is an integer number (134017481).

Almost surely, 21112100021 is an apocalyptic number.

It is an amenable number.

1112100021 is a deficient number, since it is larger than the sum of its proper divisors (496109751).

1112100021 is a wasteful number, since it uses less digits than its factorization.

1112100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141780 (or 141777 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1112100021 is about 33348.1636825778. The cubic root of 1112100021 is about 1036.0513548307.

Adding to 1112100021 its reverse (1200012111), we get a palindrome (2312112132).

The spelling of 1112100021 in words is "one billion, one hundred twelve million, one hundred thousand, twenty-one".

Divisors: 1 3 9 877 2631 7893 140897 422691 1268073 123566669 370700007 1112100021