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111322302023020 = 225113595503256133
BaseRepresentation
bin11001010011111100111110…
…010001001000010101101100
3112121011022022122002101111211
4121103330332101020111230
5104042401033304214040
61032432432021124204
732306525264333434
oct3123747621102554
9477138278071454
10111322302023020
113251a583364370
121059b011859664
134a1685697640a
141d6c0574092c4
15cd0b365248ea
hex653f3e44856c

111322302023020 has 96 divisors (see below), whose sum is σ = 255787133091840. Its totient is φ = 40360583880960.

The previous prime is 111322302022993. The next prime is 111322302023021. The reversal of 111322302023020 is 20320203223111.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 111322302022982 and 111322302023000.

It is not an unprimeable number, because it can be changed into a prime (111322302023021) 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, 434498874 + ... + 434755006.

It is an arithmetic number, because the mean of its divisors is an integer number (2664449303040).

Almost surely, 2111322302023020 is an apocalyptic number.

111322302023020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111322302023020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127893566545920).

111322302023020 is an abundant number, since it is smaller than the sum of its proper divisors (144464831068820).

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

111322302023020 is a wasteful number, since it uses less digits than its factorization.

111322302023020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262015 (or 262013 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 111322302023020 its reverse (20320203223111), we get a palindrome (131642505246131).

The spelling of 111322302023020 in words is "one hundred eleven trillion, three hundred twenty-two billion, three hundred two million, twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 359 718 1436 1795 3590 3949 5503 7180 7898 11006 15796 19745 22012 27515 39490 55030 60533 78980 110060 121066 242132 256133 302665 512266 605330 1024532 1210660 1280665 1975577 2561330 2817463 3951154 5122660 5634926 7902308 9877885 11269852 14087315 19755770 21731347 28174630 39511540 43462694 56349260 86925388 91951747 108656735 183903494 217313470 367806988 434626940 459758735 919517470 1011469217 1409499899 1839034940 2022938434 2818999798 4045876868 5057346085 5637999596 7047499495 10114692170 14094998990 15504498889 20229384340 28189997980 31008997778 62017995556 77522494445 155044988890 310089977780 506010463741 1012020927482 2024041854964 2530052318705 5060104637410 5566115101151 10120209274820 11132230202302 22264460404604 27830575505755 55661151011510 111322302023020