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102202221110022 = 23211718771820347
BaseRepresentation
bin10111001111001111001111…
…000101011010001100000110
3111101212102210111212010220100
4113033033033011122030012
5101343440122101010042
61001211015135544530
730345603212544615
oct2717171705321406
9441772714763810
10102202221110022
112a62379a456a80
12b56758508b146
134504821c0c567
141b3488475787c
15bc37aac0d24c
hex5cf3cf15a306

102202221110022 has 48 divisors (see below), whose sum is σ = 241602501546432. Its totient is φ = 30966060381360.

The previous prime is 102202221109973. The next prime is 102202221110023. The reversal of 102202221110022 is 220011122202201.

It is a happy number.

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 = 102202221109977 and 102202221110004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202221110023) 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, 34487148 + ... + 37333199.

It is an arithmetic number, because the mean of its divisors is an integer number (5033385448884).

Almost surely, 2102202221110022 is an apocalyptic number.

102202221110022 is an abundant number, since it is smaller than the sum of its proper divisors (139400280436410).

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

102202221110022 is a wasteful number, since it uses less digits than its factorization.

102202221110022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71827553 (or 71827550 counting only the distinct ones).

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

Adding to 102202221110022 its reverse (220011122202201), we get a palindrome (322213343312223).

The spelling of 102202221110022 in words is "one hundred two trillion, two hundred two billion, two hundred twenty-one million, one hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 7187 14374 21561 43122 64683 79057 129366 158114 237171 474342 711513 1423026 71820347 143640694 215461041 430922082 646383123 790023817 1292766246 1580047634 2370071451 4740142902 7110214353 14220428706 516172833889 1032345667778 1548518501667 3097037003334 4645555505001 5677901172779 9291111010002 11355802345558 17033703518337 34067407036674 51101110555011 102202221110022