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1123222110021 = 32111931137140603
BaseRepresentation
bin10000010110000101010…
…000010011111101000101
310222101020021120011222200
4100112011100103331011
5121400324330010041
62220000123545113
7144102330256134
oct20260520237505
93871207504880
101123222110021
113a33a0664a60
1216183098b199
1381bc4b9338b
143c51569191b
151e33e5361b6
hex10585413f45

1123222110021 has 96 divisors (see below), whose sum is σ = 1937230663680. Its totient is φ = 619548652800.

The previous prime is 1123222110011. The next prime is 1123222110029. The reversal of 1123222110021 is 1200112223211.

1123222110021 is a `hidden beast` number, since 112 + 322 + 211 + 0 + 0 + 21 = 666.

It is not a de Polignac number, because 1123222110021 - 29 = 1123222109509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1123222109976 and 1123222110003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123222110029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7918306 + ... + 8058908.

It is an arithmetic number, because the mean of its divisors is an integer number (20179486080).

Almost surely, 21123222110021 is an apocalyptic number.

1123222110021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1123222110021 is a deficient number, since it is larger than the sum of its proper divisors (814008553659).

1123222110021 is a wasteful number, since it uses less digits than its factorization.

1123222110021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140807 (or 140804 counting only the distinct ones).

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

Adding to 1123222110021 its reverse (1200112223211), we get a palindrome (2323334333232).

The spelling of 1123222110021 in words is "one trillion, one hundred twenty-three billion, two hundred twenty-two million, one hundred ten thousand, twenty-one".

Divisors: 1 3 9 11 19 31 33 57 93 99 137 171 209 279 341 411 589 627 1023 1233 1507 1767 1881 2603 3069 4247 4521 5301 6479 7809 12741 13563 19437 23427 28633 38223 46717 58311 80693 85899 140151 140603 242079 257697 420453 421809 726237 887623 1265427 1546633 2662869 2671457 4358693 4639899 7988607 8014371 13076079 13919697 19262611 24043113 29386027 39228237 47945623 57787833 82815167 88158081 143836869 173363499 211888721 248445501 264474243 365989609 431510607 597140941 635666163 745336503 910966837 1097968827 1791422823 1906998489 2732900511 3293906481 4025885699 5374268469 6568550351 8198701533 11345677879 12077657097 19705651053 34037033637 36232971291 59116953159 102111100911 124802456669 374407370007 1123222110021