Search a number
-
+
121413873177300 = 2235211214931711817
BaseRepresentation
bin11011100110110011011110…
…110010000001001011010100
3120220220001102120121020221210
4123212303132302001023110
5111403221103013133200
61110120432513541420
734400601650664234
oct3346633662011324
9526801376536853
10121413873177300
1135760375178990
121174a9a4574870
13529938229a1a2
1421da669d7bcc4
15e083c06e6650
hex6e6cdec812d4

121413873177300 has 144 divisors (see below), whose sum is σ = 383244388414272. Its totient is φ = 29432279577600.

The previous prime is 121413873177257. The next prime is 121413873177349. The reversal of 121413873177300 is 3771378314121.

It is a happy number.

121413873177300 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 121413873177300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70070992 + ... + 71782808.

It is an arithmetic number, because the mean of its divisors is an integer number (2661419363988).

Almost surely, 2121413873177300 is an apocalyptic number.

121413873177300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121413873177300 is an abundant number, since it is smaller than the sum of its proper divisors (261830515236972).

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

121413873177300 is a wasteful number, since it uses less digits than its factorization.

121413873177300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733338 (or 1733331 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The spelling of 121413873177300 in words is "one hundred twenty-one trillion, four hundred thirteen billion, eight hundred seventy-three million, one hundred seventy-seven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 21493 42986 64479 85972 107465 128958 214930 236423 257916 322395 429860 472846 537325 644790 709269 945692 1074650 1182115 1289580 1418538 1611975 1711817 2149300 2364230 2837076 3223950 3423634 3546345 4728460 5135451 5910575 6447900 6847268 7092690 8559085 10270902 11821150 14185380 17118170 17731725 18829987 20541804 23642300 25677255 34236340 35463450 37659974 42795425 51354510 56489961 70926900 75319948 85590850 94149935 102709020 112979922 128386275 171181700 188299870 225959844 256772550 282449805 376599740 470749675 513545100 564899610 941499350 1129799220 1412249025 1882998700 2824498050 5648996100 36792082781 73584165562 110376248343 147168331124 183960413905 220752496686 367920827810 404712910591 441504993372 551881241715 735841655620 809425821182 919802069525 1103762483430 1214138731773 1618851642364 1839604139050 2023564552955 2207524966860 2428277463546 2759406208575 3679208278100 4047129105910 4856554927092 5518812417150 6070693658865 8094258211820 10117822764775 11037624834300 12141387317730 20235645529550 24282774635460 30353468294325 40471291059100 60706936588650 121413873177300