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1122033122431 = 13421257979493
BaseRepresentation
bin10000010100111110011…
…000101011110001111111
310222021011102021100122021
4100110332120223301333
5121340410434404211
62215242131501011
7144031012115044
oct20247630536177
93867142240567
101122033122431
113a294049aa91
1216155a757767
1381a65756520
143c4417cb1cb
151e2bee73771
hex1053e62bc7f

1122033122431 has 16 divisors (see below), whose sum is σ = 1211698424160. Its totient is φ = 1032849095040.

The previous prime is 1122033122411. The next prime is 1122033122449. The reversal of 1122033122431 is 1342213302211.

It is a cyclic number.

It is not a de Polignac number, because 1122033122431 - 219 = 1122032598143 is a prime.

It is a super-2 number, since 2×11220331224312 (a number of 25 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 = 1122033122396 and 1122033122405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122033122411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14075121 + ... + 14154613.

It is an arithmetic number, because the mean of its divisors is an integer number (75731151510).

Almost surely, 21122033122431 is an apocalyptic number.

1122033122431 is a deficient number, since it is larger than the sum of its proper divisors (89665301729).

1122033122431 is a wasteful number, since it uses less digits than its factorization.

1122033122431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82506.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 1122033122431 its reverse (1342213302211), we get a palindrome (2464246424642).

The spelling of 1122033122431 in words is "one trillion, one hundred twenty-two billion, thirty-three million, one hundred twenty-two thousand, four hundred thirty-one".

Divisors: 1 13 421 2579 5473 33527 79493 1033409 1085759 14114867 33466553 205012447 435065189 2665161811 86310240187 1122033122431