Search a number
-
+
120104430013100 = 225213234016870569
BaseRepresentation
bin11011010011101111111101…
…111000110000101010101100
3120202020212112020021100201102
4123103233331320300222230
5111220242333040404400
61103235114034302232
734204154511512561
oct3323577570605254
9522225466240642
10120104430013100
11352a6003698765
1211579062727978
135202a5097a330
14219312a5bc868
15dd42d27569d5
hex6d3bfde30aac

120104430013100 has 72 divisors (see below), whose sum is σ = 292878066999840. Its totient is φ = 42418153198080.

The previous prime is 120104430012991. The next prime is 120104430013129. The reversal of 120104430013100 is 1310034401021.

It is a super-2 number, since 2×1201044300131002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2008405385 + ... + 2008465184.

Almost surely, 2120104430013100 is an apocalyptic number.

120104430013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120104430013100 is an abundant number, since it is smaller than the sum of its proper divisors (172773636986740).

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

120104430013100 is a wasteful number, since it uses less digits than its factorization.

120104430013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4016870619 (or 4016870612 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 120104430013100 its reverse (1310034401021), we get a palindrome (121414464414121).

The spelling of 120104430013100 in words is "one hundred twenty trillion, one hundred four billion, four hundred thirty million, thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 230 260 299 325 460 575 598 650 1150 1196 1300 1495 2300 2990 5980 7475 14950 29900 4016870569 8033741138 16067482276 20084352845 40168705690 52219317397 80337411380 92388023087 100421764225 104438634794 184776046174 200843528450 208877269588 261096586985 369552092348 401687056900 461940115435 522193173970 923880230870 1044386347940 1201044300131 1305482934925 1847760461740 2309700577175 2402088600262 2610965869850 4619401154350 4804177200524 5221931739700 6005221500655 9238802308700 12010443001310 24020886002620 30026107503275 60052215006550 120104430013100