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202102012001112 = 23373892611149639
BaseRepresentation
bin101101111100111110001010…
…101000100011101101011000
3222111120202121201001111102220
4231330332022220203231120
5202442214410033013422
61553500214345424040
760366250155445536
oct5574761250435530
9874522551044386
10202102012001112
1159439a88a93473
121a800882a9b020
1388a01a411c692
1437c9b0a835156
15185720cc39e5c
hexb7cf8aa23b58

202102012001112 has 128 divisors (see below), whose sum is σ = 517961392128000. Its totient is φ = 65694090147840.

The previous prime is 202102012001077. The next prime is 202102012001117. The reversal of 202102012001112 is 211100210201202.

It is a junction number, because it is equal to n+sod(n) for n = 202102012001091 and 202102012001100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202102012001117) 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, 4071411189 + ... + 4071460827.

It is an arithmetic number, because the mean of its divisors is an integer number (4046573376000).

Almost surely, 2202102012001112 is an apocalyptic number.

It is an amenable number.

202102012001112 is an abundant number, since it is smaller than the sum of its proper divisors (315859380126888).

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

202102012001112 is a wasteful number, since it uses less digits than its factorization.

202102012001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75921 (or 75917 counting only the distinct ones).

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

Adding to 202102012001112 its reverse (211100210201202), we get a palindrome (413202222202314).

The spelling of 202102012001112 in words is "two hundred two trillion, one hundred two billion, twelve million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 73 89 146 178 219 267 292 356 438 534 584 712 876 1068 1752 2136 6497 12994 19491 25988 26111 38982 49639 51976 52222 77964 78333 99278 104444 148917 155928 156666 198556 208888 297834 313332 397112 595668 626664 1191336 1906103 2323879 3623647 3812206 4417871 4647758 5718309 6971637 7247294 7624412 8835742 9295516 10870941 11436618 13253613 13943274 14494588 15248824 17671484 18591032 21741882 22873236 26507226 27886548 28989176 35342968 43483764 45746472 53014452 55773096 86967528 106028904 169643167 322504583 339286334 508929501 645009166 678572668 967513749 1017859002 1290018332 1296123929 1357145336 1935027498 2035718004 2580036664 2592247858 3870054996 3888371787 4071436008 5184495716 7740109992 7776743574 10368991432 15553487148 31106974296 94617046817 115355029681 189234093634 230710059362 283851140451 346065089043 378468187268 461420118724 567702280902 692130178086 756936374536 922840237448 1135404561804 1384260356172 2270809123608 2768520712344 8420917166713 16841834333426 25262751500139 33683668666852 50525503000278 67367337333704 101051006000556 202102012001112