Search a number
-
+
102211422112242 = 23231758324155953
BaseRepresentation
bin10111001111010111110011…
…100000011100100111110010
3111101220022112202011111010100
4113033113303200130213302
5101344112443030042432
61001215140141213230
730346350216016152
oct2717276340344762
9441808482144110
10102211422112242
112a627691155143
12b569312561216
13450565a208081
141b350b8732762
15bc3b4889107c
hex5cf5f381c9f2

102211422112242 has 48 divisors (see below), whose sum is σ = 228632046409728. Its totient is φ = 32967077051520.

The previous prime is 102211422112193. The next prime is 102211422112249. The reversal of 102211422112242 is 242211224112201.

102211422112242 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 1 + 422 + 11 + 224 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (102211422112249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7846663 + ... + 16309290.

It is an arithmetic number, because the mean of its divisors is an integer number (4763167633536).

Almost surely, 2102211422112242 is an apocalyptic number.

102211422112242 is an abundant number, since it is smaller than the sum of its proper divisors (126420624297486).

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

102211422112242 is a wasteful number, since it uses less digits than its factorization.

102211422112242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24163575 (or 24163572 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 102211422112242 its reverse (242211224112201), we get a palindrome (344422646224443).

The spelling of 102211422112242 in words is "one hundred two trillion, two hundred eleven billion, four hundred twenty-two million, one hundred twelve thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 7583 15166 22749 45498 68247 136494 235073 470146 705219 1410438 2115657 4231314 24155953 48311906 72467859 144935718 217403577 434807154 748834543 1497669086 2246503629 4493007258 6739510887 13479021774 183174591599 366349183198 549523774797 1099047549594 1648571324391 3297142648782 5678412339569 11356824679138 17035237018707 34070474037414 51105711056121 102211422112242