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101112120022212 = 22341324005726501
BaseRepresentation
bin10110111111010111111111…
…111111110001010011000100
3111021000020001111100012220000
4112333113333333301103010
5101223110110211202322
6555014133334241300
730204052410306435
oct2677277777612304
9437006044305800
10101112120022212
112a243455846252
12b4102584b6230
134455aa7bb9aa0
141ad7bd1c1b48c
15ba52592ed3ac
hex5bf5ffff14c4

101112120022212 has 60 divisors (see below), whose sum is σ = 284659904860716. Its totient is φ = 31111421544000.

The previous prime is 101112120022183. The next prime is 101112120022301. The reversal of 101112120022212 is 212220021211101.

It can be written as a sum of positive squares in 2 ways, for example, as 7831176883776 + 93280943138436 = 2798424^2 + 9658206^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12002859039 + ... + 12002867462.

Almost surely, 2101112120022212 is an apocalyptic number.

101112120022212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101112120022212 is an abundant number, since it is smaller than the sum of its proper divisors (183547784838504).

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

101112120022212 is a wasteful number, since it uses less digits than its factorization.

101112120022212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24005726530 (or 24005726519 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101112120022212 its reverse (212220021211101), we get a palindrome (313332141233313).

The spelling of 101112120022212 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 24005726501 48011453002 72017179503 96022906004 144034359006 216051538509 288068718012 312074444513 432103077018 624148889026 648154615527 864206154036 936223333539 1248297778052 1296309231054 1872446667078 1944463846581 2592618462108 2808670000617 3744893334156 3888927693162 5617340001234 7777855386324 8426010001851 11234680002468 16852020003702 25278030005553 33704040007404 50556060011106 101112120022212