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10022131032029 = 71165367853597
BaseRepresentation
bin1001000111010111010110…
…0011110101111111011101
31022111002212112200011110022
42101311311203311333131
52303200311021011104
633152034201521525
72053034515122464
oct221656543657735
938432775604408
1010022131032029
1132143a8766a36
12115a4334a32a5
1357911019794c
1426910645b9db
15125a72d05bbe
hex91d758f5fdd

10022131032029 has 8 divisors (see below), whose sum is σ = 10163361172608. Its totient is φ = 9880902929520.

The previous prime is 10022131031923. The next prime is 10022131032041. The reversal of 10022131032029 is 92023013122001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10022131032029 is a prime.

It is a super-2 number, since 2×100221310320292 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10022131031989 and 10022131032007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022131032629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11314259 + ... + 12167855.

It is an arithmetic number, because the mean of its divisors is an integer number (1270420146576).

Almost surely, 210022131032029 is an apocalyptic number.

It is an amenable number.

10022131032029 is a deficient number, since it is larger than the sum of its proper divisors (141230140579).

10022131032029 is an equidigital number, since it uses as much as digits as its factorization.

10022131032029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019035.

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

The spelling of 10022131032029 in words is "ten trillion, twenty-two billion, one hundred thirty-one million, thirty-two thousand, twenty-nine".

Divisors: 1 71 165367 853597 11741057 60605387 141156775099 10022131032029