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12223213220031 = 311839746006757
BaseRepresentation
bin1011000111011111000001…
…0010000011000010111111
31121021112020202010112202220
42301313300102003002333
53100231120041020111
641555133332020423
72401045422043602
oct261676022030277
947245222115686
1012223213220031
113992921227870
121454b35461713
136a884b0035c8
1430386ca12339
15162e49270e06
hexb1df04830bf

12223213220031 has 32 divisors (see below), whose sum is σ = 18178926329088. Its totient is φ = 7243303664640.

The previous prime is 12223213219999. The next prime is 12223213220041. The reversal of 12223213220031 is 13002231232221.

12223213220031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12223213220031 - 25 = 12223213219999 is a prime.

It is a super-2 number, since 2×122232132200312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12223213219983 and 12223213220010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12223213220041) 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, 22737696 + ... + 23269061.

It is an arithmetic number, because the mean of its divisors is an integer number (568091447784).

Almost surely, 212223213220031 is an apocalyptic number.

12223213220031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12223213220031 is a deficient number, since it is larger than the sum of its proper divisors (5955713109057).

12223213220031 is a wasteful number, since it uses less digits than its factorization.

12223213220031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46006951.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12223213220031 its reverse (13002231232221), we get a palindrome (25225444452252).

The spelling of 12223213220031 in words is "twelve trillion, two hundred twenty-three billion, two hundred thirteen million, two hundred twenty thousand, thirty-one".

Divisors: 1 3 11 33 83 97 249 291 913 1067 2739 3201 8051 24153 88561 265683 46006757 138020271 506074327 1518222981 3818560831 4462655429 11455682493 13387966287 42004169141 49089209719 126012507423 147267629157 370400400607 1111201201821 4074404406677 12223213220031