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200101202201121 = 31359557156126953
BaseRepresentation
bin101101011111110110110001…
…000100111000101000100001
3222020111111011211102112201120
4231133312301010320220201
5202211424230230413441
61545325120115522453
760101556220656534
oct5537666104705041
9866444154375646
10200101202201121
11588384970189a1
121a538b538b9429
138786601b83920
14375ad425c8a1b
151820158aeb966
hexb5fdb1138a21

200101202201121 has 32 divisors (see below), whose sum is σ = 292719303515520. Its totient is φ = 120834766754304.

The previous prime is 200101202201111. The next prime is 200101202201123. The reversal of 200101202201121 is 121102202101002.

200101202201121 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 200101202201121 - 26 = 200101202201057 is a prime.

It is a super-2 number, since 2×2001012022011212 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 200101202201121.

It is not an unprimeable number, because it can be changed into a prime (200101202201123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76781820 + ... + 79345133.

It is an arithmetic number, because the mean of its divisors is an integer number (9147478234860).

Almost surely, 2200101202201121 is an apocalyptic number.

It is an amenable number.

200101202201121 is a deficient number, since it is larger than the sum of its proper divisors (92618101314399).

200101202201121 is a wasteful number, since it uses less digits than its factorization.

200101202201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156127585.

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

Adding to 200101202201121 its reverse (121102202101002), we get a palindrome (321203404302123).

The spelling of 200101202201121 in words is "two hundred trillion, one hundred one billion, two hundred two million, two hundred one thousand, one hundred twenty-one".

Divisors: 1 3 13 39 59 177 557 767 1671 2301 7241 21723 32863 98589 427219 1281657 156126953 468380859 2029650389 6088951167 9211490227 27634470681 86962712821 119749372951 260888138463 359248118853 1130515266673 3391545800019 5130800056439 15392400169317 66700400733707 200101202201121