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122330020100 = 22527333150627
BaseRepresentation
bin111000111101101101…
…1111111100100000100
3102200202101111220012012
41301323123333210010
54001012441120400
6132110404513352
711560311004631
oct1617333774404
9380671456165
10122330020100
114797511a772
121b8600ab858
13b6c6b406a2
145cc698b188
1532ae806d35
hex1c7b6ff904

122330020100 has 72 divisors (see below), whose sum is σ = 269910828768. Its totient is φ = 48114950400.

The previous prime is 122330020079. The next prime is 122330020103. The reversal of 122330020100 is 1020033221.

It is a happy number.

122330020100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (122330020103) 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, 2390987 + ... + 2441613.

Almost surely, 2122330020100 is an apocalyptic number.

122330020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122330020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134955414384).

122330020100 is an abundant number, since it is smaller than the sum of its proper divisors (147580808668).

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

122330020100 is a wasteful number, since it uses less digits than its factorization.

122330020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51045 (or 51038 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 122330020100 its reverse (1020033221), we get a palindrome (123350053321).

The spelling of 122330020100 in words is "one hundred twenty-two billion, three hundred thirty million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 331 365 662 730 1324 1460 1655 1825 3310 3650 6620 7300 8275 16550 24163 33100 48326 50627 96652 101254 120815 202508 241630 253135 483260 506270 604075 1012540 1208150 1265675 2416300 2531350 3695771 5062700 7391542 14783084 16757537 18478855 33515074 36957710 67030148 73915420 83787685 92394275 167575370 184788550 335150740 369577100 418938425 837876850 1223300201 1675753700 2446600402 4893200804 6116501005 12233002010 24466004020 30582505025 61165010050 122330020100