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202002012100020 = 223511353867035849
BaseRepresentation
bin101101111011100001000010…
…001011001101010110110100
3222111020012111112121011212110
4231323201002023031112310
5202434100110044200040
61553342235424451020
760356110112351436
oct5573410213152664
9874205445534773
10202002012100020
1159400632715710
121a7a5415179a70
138893928645c82
1437c4d417dc656
151854808a1e980
hexb7b8422cd5b4

202002012100020 has 96 divisors (see below), whose sum is σ = 618772272854400. Its totient is φ = 48831458959360.

The previous prime is 202002012099971. The next prime is 202002012100027. The reversal of 202002012100020 is 20001210200202.

202002012100020 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 a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 202002012099969 and 202002012100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202002012100027) 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, 433284945 + ... + 433750904.

It is an arithmetic number, because the mean of its divisors is an integer number (6445544508900).

Almost surely, 2202002012100020 is an apocalyptic number.

202002012100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202002012100020 is an abundant number, since it is smaller than the sum of its proper divisors (416770260754380).

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

202002012100020 is a wasteful number, since it uses less digits than its factorization.

202002012100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867036225 (or 867036223 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 202002012100020 its reverse (20001210200202), we get a palindrome (222003222300222).

The spelling of 202002012100020 in words is "two hundred two trillion, two billion, twelve million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 353 660 706 1059 1412 1765 2118 3530 3883 4236 5295 7060 7766 10590 11649 15532 19415 21180 23298 38830 46596 58245 77660 116490 232980 867035849 1734071698 2601107547 3468143396 4335179245 5202215094 8670358490 9537394339 10404430188 13005537735 17340716980 19074788678 26011075470 28612183017 38149577356 47686971695 52022150940 57224366034 95373943390 114448732068 143060915085 190747886780 286121830170 306063654697 572243660340 612127309394 918190964091 1224254618788 1530318273485 1836381928182 3060636546970 3366700201667 3672763856364 4590954820455 6121273093940 6733400403334 9181909640910 10100100605001 13466800806668 16833501008335 18363819281820 20200201210002 33667002016670 40400402420004 50500503025005 67334004033340 101001006050010 202002012100020