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122102202200100 = 22352629296467723
BaseRepresentation
bin11011110000110100100010…
…011000110111000000100100
3121000022212010102002120202220
4123300310202120313000210
5112001010302230400400
61111404551033432340
734501410253102203
oct3360644230670044
9530285112076686
10122102202200100
11359a6286a42681
121184028456b6b0
13531925a7c2655
142221ac723123a
15e1b259d717a0
hex6f0d22637024

122102202200100 has 72 divisors (see below), whose sum is σ = 353288040305760. Its totient is φ = 32560064801280.

The previous prime is 122102202200093. The next prime is 122102202200119. The reversal of 122102202200100 is 1002202201221.

It is a super-2 number, since 2×1221022022001002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122102202200100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15644839 + ... + 22112561.

It is an arithmetic number, because the mean of its divisors is an integer number (4906778337580).

Almost surely, 2122102202200100 is an apocalyptic number.

122102202200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122102202200100 is an abundant number, since it is smaller than the sum of its proper divisors (231185838105660).

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

122102202200100 is a wasteful number, since it uses less digits than its factorization.

122102202200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6530669 (or 6530662 counting only the distinct ones).

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

Adding to 122102202200100 its reverse (1002202201221), we get a palindrome (123104404401321).

The spelling of 122102202200100 in words is "one hundred twenty-two trillion, one hundred two billion, two hundred two million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 62929 125858 188787 251716 314645 377574 629290 755148 943935 1258580 1573225 1887870 3146450 3775740 4719675 6292900 6467723 9439350 12935446 18878700 19403169 25870892 32338615 38806338 64677230 77612676 97015845 129354460 161693075 194031690 323386150 388063380 485079225 646772300 970158450 1940316900 407007340667 814014681334 1221022022001 1628029362668 2035036703335 2442044044002 4070073406670 4884088088004 6105110110005 8140146813340 10175183516675 12210220220010 20350367033350 24420440440020 30525550550025 40700734066700 61051101100050 122102202200100