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122311120221131 = 9750323471068103
BaseRepresentation
bin11011110011110111000110…
…110111110111001111001011
3121001001211101021012200021112
4123303313012313313033023
5112012421133234034011
61112044541500000535
734522454403012422
oct3363670667671713
9531054337180245
10122311120221131
1135a769447a1a96
121187486a83014b
135332b735baa3a
14222bc658a82b9
15e218d61cc58b
hex6f3dc6df73cb

122311120221131 has 16 divisors (see below), whose sum is σ = 123870601419264. Its totient is φ = 120757937336064.

The previous prime is 122311120221107. The next prime is 122311120221137. The reversal of 122311120221131 is 131122021113221.

It is a cyclic number.

It is not a de Polignac number, because 122311120221131 - 214 = 122311120204747 is a prime.

It is a super-2 number, since 2×1223111202211312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122311120221097 and 122311120221106.

It is not an unprimeable number, because it can be changed into a prime (122311120221137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113978426 + ... + 115046528.

It is an arithmetic number, because the mean of its divisors is an integer number (7741912588704).

Almost surely, 2122311120221131 is an apocalyptic number.

122311120221131 is a deficient number, since it is larger than the sum of its proper divisors (1559481198133).

122311120221131 is a wasteful number, since it uses less digits than its factorization.

122311120221131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071050.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 122311120221131 its reverse (131122021113221), we get a palindrome (253433141334352).

The spelling of 122311120221131 in words is "one hundred twenty-two trillion, three hundred eleven billion, one hundred twenty million, two hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 97 503 2347 48791 227659 1068103 1180541 103605991 114512477 537255809 2506837741 52113813473 243163260877 1260939383723 122311120221131