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112002220112 = 24231935632801
BaseRepresentation
bin110100001001111011…
…0100100000001010000
3101201002121221022000112
41220103312210001100
53313340032020422
6123241512140452
711043343106606
oct1502366440120
9351077838015
10112002220112
1143555373782
1219859397728
13a73c270933
1455c7099876
152da7c97ee2
hex1a13da4050

112002220112 has 80 divisors (see below), whose sum is σ = 228098222208. Its totient is φ = 53175091200.

The previous prime is 112002220081. The next prime is 112002220157. The reversal of 112002220112 is 211022200211.

112002220112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1120022201123 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39985112 + ... + 39987912.

Almost surely, 2112002220112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112002220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114049111104).

112002220112 is an abundant number, since it is smaller than the sum of its proper divisors (116096002096).

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

112002220112 is a wasteful number, since it uses less digits than its factorization.

112002220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3588 (or 3582 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 112002220112 its reverse (211022200211), we get a palindrome (323024420323).

The spelling of 112002220112 in words is "one hundred twelve billion, two million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 46 92 184 193 368 386 563 772 1126 1544 2252 2801 3088 4439 4504 5602 8878 9008 11204 12949 17756 22408 25898 35512 44816 51796 64423 71024 103592 108659 128846 207184 217318 257692 434636 515384 540593 869272 1030768 1081186 1576963 1738544 2162372 2499157 3153926 4324744 4998314 6307852 8649488 9996628 12433639 12615704 19993256 24867278 25231408 36270149 39986512 49734556 72540298 99469112 145080596 198938224 290161192 304353859 580322384 608707718 1217415436 2434830872 4869661744 7000138757 14000277514 28000555028 56001110056 112002220112