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1032122332033 = 134314912391763
BaseRepresentation
bin11110000010011110100…
…10001111001110000001
310122200002101020222002021
433001033102033032001
5113402241304111113
62110052255321441
7134365645032562
oct17011722171601
93580071228067
101032122332033
113687a2170441
12148047820281
137643726a4c0
1437d526b2169
151bcab86948d
hexf04f48f381

1032122332033 has 16 divisors (see below), whose sum is σ = 1144998993600. Its totient is φ = 924326311104.

The previous prime is 1032122332027. The next prime is 1032122332039. The reversal of 1032122332033 is 3302332212301.

It is an interprime number because it is at equal distance from previous prime (1032122332027) and next prime (1032122332039).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1032122332033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1032122331989 and 1032122332007.

It is not an unprimeable number, because it can be changed into a prime (1032122332039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6112591 + ... + 6279172.

It is an arithmetic number, because the mean of its divisors is an integer number (71562437100).

Almost surely, 21032122332033 is an apocalyptic number.

1032122332033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1032122332033 is a deficient number, since it is larger than the sum of its proper divisors (112876661567).

1032122332033 is a wasteful number, since it uses less digits than its factorization.

1032122332033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12391968.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 1032122332033 its reverse (3302332212301), we get a palindrome (4334454544334).

The spelling of 1032122332033 in words is "one trillion, thirty-two billion, one hundred twenty-two million, three hundred thirty-two thousand, thirty-three".

Divisors: 1 13 43 149 559 1937 6407 83291 12391763 161092919 532845809 1846372687 6926995517 24002844931 79394025541 1032122332033