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201200011102120 = 235103247719715363
BaseRepresentation
bin101101101111110110000111…
…001100001100011110101000
3222101101112101201020012210111
4231233312013030030132220
5202332430110320231440
61551530001544024104
760244135560350332
oct5557660714143650
9871345351205714
10201200011102120
1159121499aa2648
121a695ab0762034
138836105c62c94
1437981bd7dc452
15183da19c1e4ea
hexb6fd8730c7a8

201200011102120 has 64 divisors (see below), whose sum is σ = 457279729845120. Its totient is φ = 79666465661184.

The previous prime is 201200011102117. The next prime is 201200011102151. The reversal of 201200011102120 is 21201110002102.

It is a super-2 number, since 2×2012000111021202 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 201200011102120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347559 + ... + 20062921.

It is an arithmetic number, because the mean of its divisors is an integer number (7144995778830).

Almost surely, 2201200011102120 is an apocalyptic number.

201200011102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201200011102120 is an abundant number, since it is smaller than the sum of its proper divisors (256079718743000).

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

201200011102120 is a wasteful number, since it uses less digits than its factorization.

201200011102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19717954 (or 19717950 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201200011102120 its reverse (21201110002102), we get a palindrome (222401121104222).

The spelling of 201200011102120 in words is "two hundred one trillion, two hundred billion, eleven million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 103 206 412 515 824 1030 2060 2477 4120 4954 9908 12385 19816 24770 49540 99080 255131 510262 1020524 1275655 2041048 2551310 5102620 10205240 19715363 39430726 78861452 98576815 157722904 197153630 394307260 788614520 2030682389 4061364778 8122729556 10153411945 16245459112 20306823890 40613647780 48834954151 81227295560 97669908302 195339816604 244174770755 390679633208 488349541510 976699083020 1953398166040 5030000277553 10060000555106 20120001110212 25150001387765 40240002220424 50300002775530 100600005551060 201200011102120