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2122101022212 = 223419333936241
BaseRepresentation
bin11110111000010111000…
…100111101111000000100
321111212111212110110010000
4132320113010331320010
5234232030330202322
64302514005401300
7306213433032453
oct36702704757004
97455455413100
102122101022212
11748a83781aa6
122a333b409230
13125161b06942
14749d2c6ab9a
153a30264d3ac
hex1ee1713de04

2122101022212 has 60 divisors (see below), whose sum is σ = 5576335412956. Its totient is φ = 703701872640.

The previous prime is 2122101022211. The next prime is 2122101022229. The reversal of 2122101022212 is 2122201012212.

It is a happy number.

2122101022212 is a `hidden beast` number, since 212 + 210 + 10 + 22 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1286895123396 + 835205898816 = 1134414^2 + 913896^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2122101022211) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16905589 + ... + 17030652.

Almost surely, 22122101022212 is an apocalyptic number.

It is an amenable number.

2122101022212 is an abundant number, since it is smaller than the sum of its proper divisors (3454234390744).

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

2122101022212 is a wasteful number, since it uses less digits than its factorization.

2122101022212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33936450 (or 33936439 counting only the distinct ones).

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

Adding to 2122101022212 its reverse (2122201012212), we get a palindrome (4244302034424).

The spelling of 2122101022212 in words is "two trillion, one hundred twenty-two billion, one hundred one million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 193 324 386 579 772 1158 1737 2316 3474 5211 6948 10422 15633 20844 31266 62532 33936241 67872482 101808723 135744964 203617446 305426169 407234892 610852338 916278507 1221704676 1832557014 2748835521 3665114028 5497671042 6549694513 10995342084 13099389026 19649083539 26198778052 39298167078 58947250617 78596334156 117894501234 176841751851 235789002468 353683503702 530525255553 707367007404 1061050511106 2122101022212