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122131310311322 = 213311427106186181
BaseRepresentation
bin11011110001001111101001…
…010111011111011110011010
3121000102122021000010211202022
4123301033221113133132122
5112001444410414430242
61111430203245334442
734503460503004214
oct3361175127373632
9530378230124668
10122131310311322
1135a07663794444
1211845a48867422
13531bc19170cc0
1422232890315b4
15e1bdb05220d2
hex6f13e95df79a

122131310311322 has 32 divisors (see below), whose sum is σ = 203795918452224. Its totient is φ = 54511737364800.

The previous prime is 122131310311261. The next prime is 122131310311337. The reversal of 122131310311322 is 223113013131221.

It is a super-2 number, since 2×1221313103113222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 122131310311291 and 122131310311300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51942929 + ... + 54243252.

It is an arithmetic number, because the mean of its divisors is an integer number (6368622451632).

Almost surely, 2122131310311322 is an apocalyptic number.

122131310311322 is a deficient number, since it is larger than the sum of its proper divisors (81664608140902).

122131310311322 is a wasteful number, since it uses less digits than its factorization.

122131310311322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106187654.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 122131310311322 its reverse (223113013131221), we get a palindrome (345244323442543).

The spelling of 122131310311322 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, three hundred ten million, three hundred eleven thousand, three hundred twenty-two".

Divisors: 1 2 13 26 31 62 403 806 1427 2854 18551 37102 44237 88474 575081 1150162 106186181 212372362 1380420353 2760840706 3291771611 6583543222 42793030943 85586061886 151527680287 303055360574 1969859843731 3939719687462 4697358088897 9394716177794 61065655155661 122131310311322