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102212022022012 = 22737711669832583
BaseRepresentation
bin10111001111011000010111…
…010000111010111101111100
3111101220101002120000001121201
4113033120113100322331330
5101344120210114201022
61001215315451305244
730346401122121220
oct2717302720727574
9441811076001551
10102212022022012
112a627969851241
12b56945b44b224
1345057245a1876
141b35134294780
15bc3b81392127
hex5cf61743af7c

102212022022012 has 96 divisors (see below), whose sum is σ = 213033867540480. Its totient is φ = 41995702506240.

The previous prime is 102212022022003. The next prime is 102212022022027. The reversal of 102212022022012 is 210220220212201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122348673 + ... + 123181255.

It is an arithmetic number, because the mean of its divisors is an integer number (2219102786880).

Almost surely, 2102212022022012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102212022022012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106516933770240).

102212022022012 is an abundant number, since it is smaller than the sum of its proper divisors (110821845518468).

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

102212022022012 is a wasteful number, since it uses less digits than its factorization.

102212022022012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834371 (or 834369 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 102212022022012 its reverse (210220220212201), we get a palindrome (312432242234213).

The spelling of 102212022022012 in words is "one hundred two trillion, two hundred twelve billion, twenty-two million, twenty-two thousand, twelve".

Divisors: 1 2 4 7 14 28 37 71 74 142 148 259 284 497 518 994 1036 1669 1988 2627 3338 5254 6676 10508 11683 18389 23366 36778 46732 61753 73556 118499 123506 236998 247012 432271 473996 829493 832583 864542 1658986 1665166 1729084 3317972 3330332 4384463 5828081 8768926 11656162 17537852 23312324 30691241 30805571 59113393 61382482 61611142 118226786 122764964 123222284 215638997 236453572 413793751 431277994 827587502 862555988 1389581027 1655175004 2187195541 2779162054 4374391082 5558324108 8748782164 9727067189 15310368787 19454134378 30620737574 38908268756 51414497999 61241475148 98660252917 102828995998 197320505834 205657991996 359901485993 394641011668 690621770419 719802971986 1381243540838 1439605943972 2762487081676 3650429357929 7300858715858 14601717431716 25553005505503 51106011011006 102212022022012