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10022202122112 = 27328997750879
BaseRepresentation
bin1001000111010111100111…
…0011000001111110000000
31022111010001111102220201100
42101311321303001332000
52303200432220401422
633152045221334400
72053036340306265
oct221657163017600
938433044386640
1010022202122112
113214434901a74
12115a453267400
13579121b2869b
14269111a8526c
15125a791997ac
hex91d79cc1f80

10022202122112 has 96 divisors (see below), whose sum is σ = 29163975048000. Its totient is φ = 3303197669376.

The previous prime is 10022202122089. The next prime is 10022202122113. The reversal of 10022202122112 is 21122120222001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022202122113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48772912 + ... + 48977967.

It is an arithmetic number, because the mean of its divisors is an integer number (303791406750).

Almost surely, 210022202122112 is an apocalyptic number.

10022202122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10022202122112 is an abundant number, since it is smaller than the sum of its proper divisors (19141772925888).

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

10022202122112 is an equidigital number, since it uses as much as digits as its factorization.

10022202122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97750988 (or 97750973 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10022202122112 its reverse (21122120222001), we get a palindrome (31144322344113).

The spelling of 10022202122112 in words is "ten trillion, twenty-two billion, two hundred two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 128 144 178 192 267 288 356 384 534 576 712 801 1068 1152 1424 1602 2136 2848 3204 4272 5696 6408 8544 11392 12816 17088 25632 34176 51264 102528 97750879 195501758 293252637 391003516 586505274 782007032 879757911 1173010548 1564014064 1759515822 2346021096 3128028128 3519031644 4692042192 6256056256 7038063288 8699828231 9384084384 12512112512 14076126576 17399656462 18768168768 26099484693 28152253152 34799312924 37536337536 52198969386 56304506304 69598625848 78298454079 104397938772 112609012608 139197251696 156596908158 208795877544 278394503392 313193816316 417591755088 556789006784 626387632632 835183510176 1113578013568 1252775265264 1670367020352 2505550530528 3340734040704 5011101061056 10022202122112