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102102022212020 = 22561199741907953
BaseRepresentation
bin10111001101110001111010…
…110000111100100110110100
3111101111212011110221201212222
4113031301322300330212310
5101340314420141241040
61001053004345501512
730335425202141555
oct2715617260744664
9441455143851788
10102102022212020
112a595251820966
12b5500807a1898
1344c82441402bc
141b2da9b12032c
15bc0d942d5bb5
hex5cdc7ac3c9b4

102102022212020 has 48 divisors (see below), whose sum is σ = 218038367807568. Its totient is φ = 40151170652160.

The previous prime is 102102022212019. The next prime is 102102022212031. The reversal of 102102022212020 is 20212220201201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 34666589211556 + 67435433000464 = 5887834^2 + 8211908^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102102022212020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18517637 + ... + 23390316.

It is an arithmetic number, because the mean of its divisors is an integer number (4542465995991).

Almost surely, 2102102022212020 is an apocalyptic number.

102102022212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102022212020 is an abundant number, since it is smaller than the sum of its proper divisors (115936345595548).

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

102102022212020 is a wasteful number, since it uses less digits than its factorization.

102102022212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41910020 (or 41910018 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102102022212020 its reverse (20212220201201), we get a palindrome (122314242413221).

The spelling of 102102022212020 in words is "one hundred two trillion, one hundred two billion, twenty-two million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 1997 3994 7988 9985 19970 39940 121817 243634 487268 609085 1218170 2436340 41907953 83815906 167631812 209539765 419079530 838159060 2556385133 5112770266 10225540532 12781925665 25563851330 51127702660 83690182141 167380364282 334760728564 418450910705 836901821410 1673803642820 5105101110601 10210202221202 20420404442404 25525505553005 51051011106010 102102022212020