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201121010212200 = 233521325784744899
BaseRepresentation
bin101101101110101100100010…
…010111101101110101101000
3222101002222111000010012011120
4231232230202113231311220
5202330131312103242300
61551425414440455240
760235341060022161
oct5556544227556550
9871088430105146
10201121010212200
11590a0a3a061781
121a68272347a520
13882b825b16280
14379444761c768
15183b9443083a0
hexb6eb225edd68

201121010212200 has 96 divisors (see below), whose sum is σ = 671434757196000. Its totient is φ = 49506710204160.

The previous prime is 201121010212181. The next prime is 201121010212207. The reversal of 201121010212200 is 2212010121102.

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 201121010212200.

It is not an unprimeable number, because it can be changed into a prime (201121010212207) 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, 12892364650 + ... + 12892380249.

It is an arithmetic number, because the mean of its divisors is an integer number (6994112054125).

Almost surely, 2201121010212200 is an apocalyptic number.

201121010212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201121010212200 is an abundant number, since it is smaller than the sum of its proper divisors (470313746983800).

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

201121010212200 is a wasteful number, since it uses less digits than its factorization.

201121010212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25784744931 (or 25784744922 counting only the distinct ones).

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

Adding to 201121010212200 its reverse (2212010121102), we get a palindrome (203333020333302).

The spelling of 201121010212200 in words is "two hundred one trillion, one hundred twenty-one billion, ten million, two hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 25784744899 51569489798 77354234697 103138979596 128923724495 154708469394 206277959192 257847448990 309416938788 335201683687 386771173485 515694897980 618833877576 644618622475 670403367374 773542346970 1005605051061 1031389795960 1289237244950 1340806734748 1547084693940 1676008418435 1933855867425 2011210102122 2578474489900 2681613469496 3094169387880 3352016836870 3867711734850 4022420204244 5028025255305 5156948979800 6704033673740 7735423469700 8044840408488 8380042092175 10056050510610 13408067347480 15470846939400 16760084184350 20112101021220 25140126276525 33520168368700 40224202042440 50280252553050 67040336737400 100560505106100 201121010212200