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202101112102023 = 33232923321481207
BaseRepresentation
bin101101111100111101010100…
…111111101101110010000111
3222111120200021222201212222000
4231330331110333231302013
5202442211034144231043
61553455545201440343
760366215650440201
oct5574752477556207
9874520258655860
10202101112102023
115943966701aa12
121a8006716400b3
1388a008c85cc04
1437c9a63103771
1518571a8c2d2d3
hexb7cf54fedc87

202101112102023 has 64 divisors (see below), whose sum is σ = 323214709708800. Its totient is φ = 124426474824960.

The previous prime is 202101112102003. The next prime is 202101112102063. The reversal of 202101112102023 is 320201211101202.

It is not a de Polignac number, because 202101112102023 - 246 = 131732367924359 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202101112101987 and 202101112102005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202101112102003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 419747286 + ... + 420228492.

It is an arithmetic number, because the mean of its divisors is an integer number (5050229839200).

Almost surely, 2202101112102023 is an apocalyptic number.

202101112102023 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

202101112102023 is a deficient number, since it is larger than the sum of its proper divisors (121113597606777).

202101112102023 is a wasteful number, since it uses less digits than its factorization.

202101112102023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504589 (or 504583 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 202101112102023 its reverse (320201211101202), we get a palindrome (522302323203225).

The spelling of 202101112102023 in words is "two hundred two trillion, one hundred one billion, one hundred twelve million, one hundred two thousand, twenty-three".

Divisors: 1 3 9 23 27 29 69 87 207 261 621 667 783 2001 6003 18009 23321 69963 209889 481207 536383 629667 676309 1443621 1609149 2028927 4330863 4827447 6086781 11067761 12992589 13955003 14482341 15555107 18260343 33203283 41865009 46665321 99609849 125595027 139995963 298829547 320965069 376785081 419987889 962895207 2888685621 8666056863 11222228447 33666685341 101000056023 258111254281 303000168069 325444624963 774333762843 976333874889 2323001288529 2929001624667 6969003865587 7485226374149 8787004874001 22455679122447 67367037367341 202101112102023