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10022111021112 = 2338532017242713
BaseRepresentation
bin1001000111010111010001…
…0111100000100000111000
31022111002211011000111122020
42101311310113200200320
52303200240410133422
633152032204554440
72053034153046561
oct221656427404070
938432734014566
1010022111021112
113214398439493
12115a428852a20
13579108cac578
1426910392d168
15125a711a195c
hex91d745e0838

10022111021112 has 64 divisors (see below), whose sum is σ = 25097190696480. Its totient is φ = 3335119183872.

The previous prime is 10022111021101. The next prime is 10022111021129. The reversal of 10022111021112 is 21112011122001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10022111021091 and 10022111021100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41170668 + ... + 41413380.

Almost surely, 210022111021112 is an apocalyptic number.

10022111021112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10022111021112 is an abundant number, since it is smaller than the sum of its proper divisors (15075079675368).

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

10022111021112 is a wasteful number, since it uses less digits than its factorization.

10022111021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245592 (or 245588 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10022111021112 its reverse (21112011122001), we get a palindrome (31134122143113).

The spelling of 10022111021112 in words is "ten trillion, twenty-two billion, one hundred eleven million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 853 1706 2017 2559 3412 4034 5118 6051 6824 8068 10236 12102 16136 20472 24204 48408 242713 485426 728139 970852 1456278 1720501 1941704 2912556 3441002 5161503 5825112 6882004 10323006 13764008 20646012 41292024 207034189 414068378 489552121 621102567 828136756 979104242 1242205134 1468656363 1656273512 1958208484 2484410268 2937312726 3916416968 4968820536 5874625452 11749250904 417587959213 835175918426 1252763877639 1670351836852 2505527755278 3340703673704 5011055510556 10022111021112