Search a number
-
+
102104402043222 = 23247558121625297
BaseRepresentation
bin10111001101110100001000…
…100111010010000101010110
3111101112002022100000200120100
4113031310020213102011112
5101340334303410340342
61001054040441514530
730335541160314135
oct2715641047220526
9441462270020510
10102104402043222
112a596263108307
12b5506257a2a46
1344c85331b6a47
141b2dc4520d91c
15bc0e831c5e4c
hex5cdd089d2156

102104402043222 has 48 divisors (see below), whose sum is σ = 225973637952192. Its totient is φ = 33304685863680.

The previous prime is 102104402043211. The next prime is 102104402043223. The reversal of 102104402043222 is 222340204401201.

It is a happy number.

102104402043222 is a `hidden beast` number, since 1 + 0 + 2 + 10 + 440 + 204 + 3 + 2 + 2 + 2 = 666.

It is a super-2 number, since 2×1021044020432222 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102104402043223) 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, 6091123 + ... + 15534174.

It is an arithmetic number, because the mean of its divisors is an integer number (4707784124004).

Almost surely, 2102104402043222 is an apocalyptic number.

102104402043222 is an abundant number, since it is smaller than the sum of its proper divisors (123869235908970).

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

102104402043222 is a wasteful number, since it uses less digits than its factorization.

102104402043222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21630933 (or 21630930 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 102104402043222 its reverse (222340204401201), we get a palindrome (324444606444423).

The spelling of 102104402043222 in words is "one hundred two trillion, one hundred four billion, four hundred two million, forty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 47 94 141 282 423 846 5581 11162 16743 33486 50229 100458 262307 524614 786921 1573842 2360763 4721526 21625297 43250594 64875891 129751782 194627673 389255346 1016388959 2032777918 3049166877 6098333754 9147500631 18295001262 120690782557 241381565114 362072347671 724144695342 1086217043013 2172434086026 5672466780179 11344933560358 17017400340537 34034800681074 51052201021611 102104402043222