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10022121413431 = 67457673268379
BaseRepresentation
bin1001000111010111010011…
…1111001001101100110111
31022111002211212120111012221
42101311310333021230313
52303200301040212211
633152033215423211
72053034340302101
oct221656477115467
938432755514187
1010022121413431
1132143a3297386
12115a430224b07
1357910b1aa87a
14269105076571
15125a72055c71
hex91d74fc9b37

10022121413431 has 8 divisors (see below), whose sum is σ = 10171930677120. Its totient is φ = 9872318778168.

The previous prime is 10022121413419. The next prime is 10022121413459. The reversal of 10022121413431 is 13431412122001.

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

It is a cyclic number.

It is not a de Polignac number, because 10022121413431 - 213 = 10022121405239 is a prime.

It is a super-2 number, since 2×100221214134312 (a number of 27 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 = 10022121413396 and 10022121413405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022128413431) 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, 1432200 + ... + 4700578.

It is an arithmetic number, because the mean of its divisors is an integer number (1271491334640).

Almost surely, 210022121413431 is an apocalyptic number.

10022121413431 is a deficient number, since it is larger than the sum of its proper divisors (149809263689).

10022121413431 is an equidigital number, since it uses as much as digits as its factorization.

10022121413431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3314213.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 10022121413431 its reverse (13431412122001), we get a palindrome (23453533535432).

The spelling of 10022121413431 in words is "ten trillion, twenty-two billion, one hundred twenty-one million, four hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 67 45767 3066389 3268379 218981393 149583901693 10022121413431