Search a number
-
+
1022212220202 = 232234370980989
BaseRepresentation
bin11101110000000001001…
…10001010010100101010
310121201111201122010100100
432320000212022110222
5113221442312021302
62101333043250230
7133565241336345
oct16700046122452
93551451563310
101022212220202
11364577170778
12146140979976
13755180930c4
143769246b45c
151b8cb814d1c
hexee0098a52a

1022212220202 has 96 divisors (see below), whose sum is σ = 2368199433600. Its totient is φ = 317890210176.

The previous prime is 1022212220201. The next prime is 1022212220273. The reversal of 1022212220202 is 2020222122201.

1022212220202 is a `hidden beast` number, since 10 + 22 + 212 + 220 + 202 = 666.

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 (1022212220201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12581124 + ... + 12662112.

It is an arithmetic number, because the mean of its divisors is an integer number (24668744100).

Almost surely, 21022212220202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022212220202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184099716800).

1022212220202 is an abundant number, since it is smaller than the sum of its proper divisors (1345987213398).

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

1022212220202 is a wasteful number, since it uses less digits than its factorization.

1022212220202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81772 (or 81769 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1022212220202 its reverse (2020222122201), we get a palindrome (3042434342403).

The spelling of 1022212220202 in words is "one trillion, twenty-two billion, two hundred twelve million, two hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 9 18 23 43 46 69 86 129 138 207 258 387 414 709 774 989 1418 1978 2127 2967 4254 5934 6381 8901 12762 16307 17802 30487 32614 48921 60974 80989 91461 97842 146763 161978 182922 242967 274383 293526 485934 548766 701201 728901 1402402 1457802 1862747 2103603 3482527 3725494 4207206 5588241 6310809 6965054 10447581 11176482 12621618 16764723 20895162 31342743 33529446 57421201 62685486 80098121 114842402 160196242 172263603 240294363 344527206 480588726 516790809 720883089 1033581618 1320687623 1441766178 2469111643 2641375246 3962062869 4938223286 7407334929 7924125738 11886188607 14814669858 22222004787 23772377214 44444009574 56789567789 113579135578 170368703367 340737406734 511106110101 1022212220202