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10022132132112 = 2431135318391123
BaseRepresentation
bin1001000111010111010110…
…1000000010100100010000
31022111002212121202001111010
42101311311220002210100
52303200311311211422
633152034241250520
72053034530353642
oct221656550024420
938432777661433
1010022132132112
1132143a93484a1
12115a433933a40
13579110491599
14269106666892
15125a72e71b0c
hex91d75a02910

10022132132112 has 40 divisors (see below), whose sum is σ = 25892789915104. Its totient is φ = 3340416271104.

The previous prime is 10022132132039. The next prime is 10022132132137. The reversal of 10022132132112 is 21123123122001.

It is a super-3 number, since 3×100221321321123 (a number of 40 digits) contains 333 as substring.

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, 8650618 + ... + 9740505.

Almost surely, 210022132132112 is an apocalyptic number.

10022132132112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10022132132112 is an abundant number, since it is smaller than the sum of its proper divisors (15870657782992).

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

10022132132112 is a wasteful number, since it uses less digits than its factorization.

10022132132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18402487 (or 18402481 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10022132132112 its reverse (21123123122001), we get a palindrome (31145255254113).

The spelling of 10022132132112 in words is "ten trillion, twenty-two billion, one hundred thirty-two million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 11353 22706 34059 45412 68118 90824 136236 181648 272472 544944 18391123 36782246 55173369 73564492 110346738 147128984 220693476 294257968 441386952 882773904 208794419419 417588838838 626383258257 835177677676 1252766516514 1670355355352 2505533033028 3340710710704 5011066066056 10022132132112