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102210220100022 = 23311467228151421
BaseRepresentation
bin10111001111010110101011…
…110111001000100110110110
3111101220012102222100221100020
4113033112223313020212312
5101344103012321200042
61001214421002030010
730346305352050306
oct2717265367104666
9441805388327306
10102210220100022
112a6271246a4611
12b569037aa8306
1345054c818aa38
141b35002c3b606
15bc3ac80a93ec
hex5cf5abdc89b6

102210220100022 has 64 divisors (see below), whose sum is σ = 205610977248768. Its totient is φ = 33872287392000.

The previous prime is 102210220100003. The next prime is 102210220100059. The reversal of 102210220100022 is 220001022012201.

102210220100022 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102210220099974 and 102210220100010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1987687872 + ... + 1987739292.

It is an arithmetic number, because the mean of its divisors is an integer number (3212671519512).

Almost surely, 2102210220100022 is an apocalyptic number.

102210220100022 is an abundant number, since it is smaller than the sum of its proper divisors (103400757148746).

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

102210220100022 is a wasteful number, since it uses less digits than its factorization.

102210220100022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54485.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102210220100022 its reverse (220001022012201), we get a palindrome (322211242112223).

The spelling of 102210220100022 in words is "one hundred two trillion, two hundred ten billion, two hundred twenty million, one hundred thousand, twenty-two".

Divisors: 1 2 3 6 311 467 622 933 934 1401 1866 2281 2802 4562 6843 13686 51421 102842 145237 154263 290474 308526 435711 709391 871422 1065227 1418782 2128173 2130454 3195681 4256346 6391362 15991931 24013607 31983862 47975793 48027214 72040821 95951586 117291301 144081642 234582602 331285597 351873903 662571194 703747806 993856791 1987713582 7468231777 14936463554 22404695331 36477594611 44809390662 54775037567 72955189222 109432783833 109550075134 164325112701 218865567666 328650225402 17035036683337 34070073366674 51105110050011 102210220100022