Search a number
-
+
100120020121200 = 24352161951533879
BaseRepresentation
bin10110110000111100000010…
…001110111111011001110000
3111010111101021100100101212210
4112300330002032333121300
5101110331300122334300
6552534300254252120
730042301301300112
oct2660740216773160
9433441240311783
10100120020121200
11299a0731264692
12b28bb201b7040
1343b337b556941
141aa1b98ab53b2
15b895413ec050
hex5b0f023bf670

100120020121200 has 120 divisors (see below), whose sum is σ = 320915900246400. Its totient is φ = 26682180673280.

The previous prime is 100120020121189. The next prime is 100120020121267. The reversal of 100120020121200 is 2121020021001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 23824140 + ... + 27709739.

It is an arithmetic number, because the mean of its divisors is an integer number (2674299168720).

Almost surely, 2100120020121200 is an apocalyptic number.

100120020121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120020121200 is an abundant number, since it is smaller than the sum of its proper divisors (220795880125200).

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

100120020121200 is a wasteful number, since it uses less digits than its factorization.

100120020121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51535519 (or 51535508 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100120020121200 its reverse (2121020021001), we get a palindrome (102241040142201).

The spelling of 100120020121200 in words is "one hundred trillion, one hundred twenty billion, twenty million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1619 3238 4857 6476 8095 9714 12952 16190 19428 24285 25904 32380 38856 40475 48570 64760 77712 80950 97140 121425 129520 161900 194280 242850 323800 388560 485700 647600 971400 1942800 51533879 103067758 154601637 206135516 257669395 309203274 412271032 515338790 618406548 773008185 824542064 1030677580 1236813096 1288346975 1546016370 2061355160 2473626192 2576693950 3092032740 3865040925 4122710320 5153387900 6184065480 7730081850 10306775800 12368130960 15460163700 20613551600 30920327400 61840654800 83433350101 166866700202 250300050303 333733400404 417166750505 500600100606 667466800808 834333501010 1001200201212 1251500251515 1334933601616 1668667002020 2002400402424 2085833752525 2503000503030 3337334004040 4004800804848 4171667505050 5006001006060 6257501257575 6674668008080 8343335010100 10012002012120 12515002515150 16686670020200 20024004024240 25030005030300 33373340040400 50060010060600 100120020121200