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1121231012022 = 232115921626769
BaseRepresentation
bin10000010100001110100…
…100111000000010110110
310222012002111221221000100
4100110032210320002312
5121332240114341042
62215030355454530
7144002102231532
oct20241644700266
93865074857010
101121231012022
113a2569748620
12161375bb7446
1381968514b94
143c3a7072bc2
151e27483124c
hex1050e9380b6

1121231012022 has 72 divisors (see below), whose sum is σ = 2695863722760. Its totient is φ = 334008005760.

The previous prime is 1121231012003. The next prime is 1121231012087. The reversal of 1121231012022 is 2202101321211.

1121231012022 is a `hidden beast` number, since 1 + 1 + 212 + 310 + 120 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1121231011986 and 1121231012004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 124147 + ... + 1502622.

It is an arithmetic number, because the mean of its divisors is an integer number (37442551705).

Almost surely, 21121231012022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121231012022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347931861380).

1121231012022 is an abundant number, since it is smaller than the sum of its proper divisors (1574632710738).

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

1121231012022 is a wasteful number, since it uses less digits than its factorization.

1121231012022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626906 (or 1626844 counting only the distinct ones).

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

Adding to 1121231012022 its reverse (2202101321211), we get a palindrome (3323332333233).

The spelling of 1121231012022 in words is "one trillion, one hundred twenty-one billion, two hundred thirty-one million, twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 99 118 177 198 354 531 649 1062 1298 1947 3481 3894 5841 6962 10443 11682 20886 31329 38291 62658 76582 114873 229746 344619 689238 1626769 3253538 4880307 9760614 14640921 17894459 29281842 35788918 53683377 95979371 107366754 161050131 191958742 287938113 322100262 575876226 863814339 1055773081 1727628678 2111546162 3167319243 5662782889 6334638486 9501957729 11325565778 16988348667 19003915458 33976697334 50965046001 62290611779 101930092002 124581223558 186871835337 373743670674 560615506011 1121231012022