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112100222322 = 23411233269987
BaseRepresentation
bin110100001100110110…
…0011010010101110010
3101201100110100022210000
41220121230122111302
53314040124103242
6123255332450430
711045643111414
oct1503154322562
9351313308700
10112100222322
11435a5720240
1219886179a16
13a756664cca
1455d60ca9b4
152db16a5a4c
hex1a19b1a572

112100222322 has 80 divisors (see below), whose sum is σ = 275199848352. Its totient is φ = 33823846080.

The previous prime is 112100222321. The next prime is 112100222323. The reversal of 112100222322 is 223222001211.

112100222322 is a `hidden beast` number, since 1 + 121 + 0 + 0 + 222 + 322 = 666.

It is an interprime number because it is at equal distance from previous prime (112100222321) and next prime (112100222323).

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

It is a junction number, because it is equal to n+sod(n) for n = 112100222295 and 112100222304.

It is not an unprimeable number, because it can be changed into a prime (112100222321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 280213 + ... + 550199.

Almost surely, 2112100222322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112100222322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137599924176).

112100222322 is an abundant number, since it is smaller than the sum of its proper divisors (163099626030).

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

112100222322 is a wasteful number, since it uses less digits than its factorization.

112100222322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270245 (or 270236 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 112100222322 its reverse (223222001211), we get a palindrome (335322223533).

The spelling of 112100222322 in words is "one hundred twelve billion, one hundred million, two hundred twenty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 233 297 466 594 699 891 1398 1782 2097 2563 4194 5126 6291 7689 12582 15378 18873 23067 37746 46134 69201 138402 207603 269987 415206 539974 809961 1619922 2429883 2969857 4859766 5939714 7289649 8909571 14579298 17819142 21868947 26728713 43737894 53457426 62906971 80186139 125813942 160372278 188720913 240558417 377441826 481116834 566162739 691976681 1132325478 1383953362 1698488217 2075930043 3396976434 4151860086 5095464651 6227790129 10190929302 12455580258 18683370387 37366740774 56050111161 112100222322