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2100022132 = 2213414322907
BaseRepresentation
bin111110100101011…
…1100101101110100
312102100120011210111
41331022330231310
513300101202012
6544214432404
7103016615335
oct17512745564
95370504714
102100022132
1198845378a
124a7362704
132760c7c60
1415cc9428c
15c456dba7
hex7d2bcb74

2100022132 has 48 divisors (see below), whose sum is σ = 4148730432. Its totient is φ = 923569920.

The previous prime is 2100022129. The next prime is 2100022157. The reversal of 2100022132 is 2312200012.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80223 + ... + 103129.

It is an arithmetic number, because the mean of its divisors is an integer number (86431884).

Almost surely, 22100022132 is an apocalyptic number.

It is an amenable number.

2100022132 is a deficient number, since it is larger than the sum of its proper divisors (2048708300).

2100022132 is a wasteful number, since it uses less digits than its factorization.

2100022132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23008 (or 23006 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2100022132 is about 45825.9984288395. The cubic root of 2100022132 is about 1280.5836636666.

Adding to 2100022132 its reverse (2312200012), we get a palindrome (4412222144).

The spelling of 2100022132 in words is "two billion, one hundred million, twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 13 26 41 43 52 82 86 164 172 533 559 1066 1118 1763 2132 2236 3526 7052 22907 22919 45814 45838 91628 91676 297791 595582 939187 985001 1191164 1878374 1970002 3756748 3940004 12209431 12805013 24418862 25610026 40385041 48837724 51220052 80770082 161540164 525005533 1050011066 2100022132