Search a number
-
+
2122202022212 = 224127167370951
BaseRepresentation
bin11110111000011101000…
…110010000000101000100
321111212202220111210001202
4132320131012100011010
5234232232204202322
64302532014242032
7306216100361216
oct36703506200504
97455686453052
102122202022212
11749025796878
122a33691b6318
13125179a0a65c
1474a0243c5b6
153a30b44e292
hex1ee1d190144

2122202022212 has 48 divisors (see below), whose sum is σ = 3824201547264. Its totient is φ = 1029853440000.

The previous prime is 2122202022181. The next prime is 2122202022251.

2122202022212 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29875337 + ... + 29946287.

It is an arithmetic number, because the mean of its divisors is an integer number (79670865568).

Almost surely, 22122202022212 is an apocalyptic number.

It is an amenable number.

2122202022212 is a deficient number, since it is larger than the sum of its proper divisors (1701999525052).

2122202022212 is a wasteful number, since it uses less digits than its factorization.

2122202022212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71940 (or 71938 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The spelling of 2122202022212 in words is "two trillion, one hundred twenty-two billion, two hundred two million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 4 41 82 164 271 542 673 1084 1346 2692 11111 22222 27593 44444 55186 70951 110372 141902 182383 283804 364766 729532 2908991 5817982 7477703 11635964 14955406 19227721 29910812 38455442 47750023 76910884 95500046 191000092 788336561 1576673122 1957750943 3153346244 3915501886 7831003772 12940256233 25880512466 51761024932 530550505553 1061101011106 2122202022212