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102122020242 = 2341161393487
BaseRepresentation
bin101111100011011110…
…0100101110110010010
3100202121001121010210000
41133012330211312102
53133121214121432
6114525245150430
710243451564304
oct1370674456622
9322531533700
10102122020242
113a345244340
121796055b416
13982633a418
144d2abdd974
1529ca6a157c
hex17c6f25d92

102122020242 has 80 divisors (see below), whose sum is σ = 250041508992. Its totient is φ = 30895253280.

The previous prime is 102122020199. The next prime is 102122020243. The reversal of 102122020242 is 242020221201.

102122020242 is a `hidden beast` number, since 10 + 212 + 202 + 0 + 242 = 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 (102122020243) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1045623 + ... + 1139109.

Almost surely, 2102122020242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102122020242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125020754496).

102122020242 is an abundant number, since it is smaller than the sum of its proper divisors (147919488750).

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

102122020242 is a wasteful number, since it uses less digits than its factorization.

102122020242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94125 (or 94116 counting only the distinct ones).

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

Adding to 102122020242 its reverse (242020221201), we get a palindrome (344142241443).

The spelling of 102122020242 in words is "one hundred two billion, one hundred twenty-two million, twenty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 613 891 1226 1782 1839 3678 5517 6743 11034 13486 16551 20229 33102 40458 49653 60687 93487 99306 121374 182061 186974 280461 364122 546183 560922 841383 1028357 1092366 1682766 2056714 2524149 3085071 5048298 6170142 7572447 9255213 15144894 18510426 27765639 55531278 57307531 83296917 114615062 166593834 171922593 343845186 515767779 630382841 1031535558 1260765682 1547303337 1891148523 3094606674 3782297046 4641910011 5673445569 9283820022 11346891138 17020336707 34040673414 51061010121 102122020242