Search a number
-
+
102222102011220 = 223252680121189529
BaseRepresentation
bin10111001111100001110000…
…000101000001110101010100
3111101221100010001021120022100
4113033201300011001311110
5101344301331103324340
61001224104012402100
730350205660452652
oct2717416005016524
9441840101246270
10102222102011220
112a63117172a334
12b56b3b3176330
13450666ca17519
141b3580ccb9dd2
15bc40712a0830
hex5cf870141d54

102222102011220 has 72 divisors (see below), whose sum is σ = 310085293550760. Its totient is φ = 27258208819200.

The previous prime is 102222102011167. The next prime is 102222102011257. The reversal of 102222102011220 is 22110201222201.

It is a happy number.

102222102011220 is a `hidden beast` number, since 1 + 0 + 22 + 221 + 0 + 201 + 1 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29654906436 + 102192447104784 = 172206^2 + 10109028^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 102222102011193 and 102222102011202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5770585 + ... + 15418944.

It is an arithmetic number, because the mean of its divisors is an integer number (4306740188205).

Almost surely, 2102222102011220 is an apocalyptic number.

102222102011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102222102011220 is an abundant number, since it is smaller than the sum of its proper divisors (207863191539540).

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

102222102011220 is a wasteful number, since it uses less digits than its factorization.

102222102011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21216345 (or 21216340 counting only the distinct ones).

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

Adding to 102222102011220 its reverse (22110201222201), we get a palindrome (124332303233421).

The spelling of 102222102011220 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred two million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 26801 53602 80403 107204 134005 160806 241209 268010 321612 402015 482418 536020 804030 964836 1206045 1608060 2412090 4824180 21189529 42379058 63568587 84758116 105947645 127137174 190705761 211895290 254274348 317842935 381411522 423790580 635685870 762823044 953528805 1271371740 1907057610 3814115220 567900566729 1135801133458 1703701700187 2271602266916 2839502833645 3407403400374 5111105100561 5679005667290 6814806800748 8518508500935 10222210201122 11358011334580 17037017001870 20444420402244 25555525502805 34074034003740 51111051005610 102222102011220