Search a number
-
+
122212020100100 = 22527533294124531
BaseRepresentation
bin11011110010011010110100…
…000010111001110000000100
3121000201100120210211220220112
4123302122310002321300010
5112004310204121200400
61111531232120252152
734512345533616650
oct3362326402716004
9530640523756815
10122212020100100
1135a38910316317
1211859612311058
13532670c361878
142227144171a60
15e1e035e98835
hex6f26b40b9c04

122212020100100 has 72 divisors (see below), whose sum is σ = 308804410127808. Its totient is φ = 41110674134400.

The previous prime is 122212020100099. The next prime is 122212020100129. The reversal of 122212020100100 is 1001020212221.

122212020100100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 1647025166 + ... + 1647099365.

It is an arithmetic number, because the mean of its divisors is an integer number (4288950140664).

Almost surely, 2122212020100100 is an apocalyptic number.

122212020100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122212020100100 is an abundant number, since it is smaller than the sum of its proper divisors (186592390027708).

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

122212020100100 is a wasteful number, since it uses less digits than its factorization.

122212020100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3294124605 (or 3294124598 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122212020100100 its reverse (1001020212221), we get a palindrome (123213040312321).

The spelling of 122212020100100 in words is "one hundred twenty-two trillion, two hundred twelve billion, twenty million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 53 70 100 106 140 175 212 265 350 371 530 700 742 1060 1325 1484 1855 2650 3710 5300 7420 9275 18550 37100 3294124531 6588249062 13176498124 16470622655 23058871717 32941245310 46117743434 65882490620 82353113275 92235486868 115294358585 164706226550 174588600143 230588717170 329412453100 349177200286 461177434340 576471792925 698354400572 872943000715 1152943585850 1222120201001 1745886001430 2305887171700 2444240402002 3491772002860 4364715003575 4888480804004 6110601005005 8729430007150 12221202010010 17458860014300 24442404020020 30553005025025 61106010050050 122212020100100