Search a number
-
+
202010211121200 = 24352198860096979
BaseRepresentation
bin101101111011101000101010…
…110111111111100000110000
3222111020222122221111121111120
4231323220222313333200300
5202434213403021334300
61553350113154142240
760356520231031326
oct5573505267774060
9874228587447446
10202010211121200
115940405a867679
121a7a6b22b81980
13889463418c9b1
1437c54bc6b1d16
151854b3872e3a0
hexb7ba2adff830

202010211121200 has 120 divisors (see below), whose sum is σ = 681164255822400. Its totient is φ = 51034158593280.

The previous prime is 202010211121123. The next prime is 202010211121267. The reversal of 202010211121200 is 2121112010202.

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

It is a super-2 number, since 2×2020102111212002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 202010211121200.

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, 4430025690 + ... + 4430071289.

It is an arithmetic number, because the mean of its divisors is an integer number (5676368798520).

Almost surely, 2202010211121200 is an apocalyptic number.

202010211121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202010211121200 is an abundant number, since it is smaller than the sum of its proper divisors (479154044701200).

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

202010211121200 is a wasteful number, since it uses less digits than its factorization.

202010211121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8860097019 (or 8860097008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 202010211121200 its reverse (2121112010202), we get a palindrome (204131323131402).

The spelling of 202010211121200 in words is "two hundred two trillion, ten billion, two hundred eleven million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 150 152 190 200 228 240 285 300 304 380 400 456 475 570 600 760 912 950 1140 1200 1425 1520 1900 2280 2850 3800 4560 5700 7600 11400 22800 8860096979 17720193958 26580290937 35440387916 44300484895 53160581874 70880775832 88600969790 106321163748 132901454685 141761551664 168341842601 177201939580 212642327496 221502424475 265802909370 336683685202 354403879160 425284654992 443004848950 505025527803 531605818740 664507273425 673367370404 708807758320 841709213005 886009697900 1010051055606 1063211637480 1329014546850 1346734740808 1683418426010 1772019395800 2020102111212 2126423274960 2525127639015 2658029093700 2693469481616 3366836852020 3544038791600 4040204222424 4208546065025 5050255278030 5316058187400 6733673704040 8080408444848 8417092130050 10100510556060 10632116374800 12625638195075 13467347408080 16834184260100 20201021112120 25251276390150 33668368520200 40402042224240 50502552780300 67336737040400 101005105560600 202010211121200