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100022202112 = 28755815961
BaseRepresentation
bin101110100100111001…
…0011010111100000000
3100120011201102022211011
41131021302122330000
53114321140431422
6113541034530304
710140433455460
oct1351162327400
9316151368734
10100022202112
1139467a1a958
1217475296994
1395802b42a1
144babd9dba0
152906173077
hex1749c9af00

100022202112 has 36 divisors (see below), whose sum is σ = 228175652656. Its totient is φ = 42866657280.

The previous prime is 100022202109. The next prime is 100022202127. The reversal of 100022202112 is 211202220001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100022202092 and 100022202101.

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 3 ways as a sum of consecutive naturals, for example, 27906189 + ... + 27909772.

Almost surely, 2100022202112 is an apocalyptic number.

It is an amenable number.

100022202112 is an abundant number, since it is smaller than the sum of its proper divisors (128153450544).

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

100022202112 is an frugal number, since it uses more digits than its factorization.

100022202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55815984 (or 55815970 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100022202112 its reverse (211202220001), we get a palindrome (311224422113).

The spelling of 100022202112 in words is "one hundred billion, twenty-two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 55815961 111631922 223263844 390711727 446527688 781423454 893055376 1562846908 1786110752 3125693816 3572221504 6251387632 7144443008 12502775264 14288886016 25005550528 50011101056 100022202112