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10422211114031 = 2924591108313187
BaseRepresentation
bin1001011110101001110000…
…1100001111010000101111
31100220100112210221010022012
42113222130030033100233
52331224142021122111
634055521522311435
72123660051530643
oct227523414172057
940810483833265
1010422211114031
113359042516102
121203a894b857b
135a7a6c294792
1428061b108c23
1513118b76c48b
hex97a9c30f42f

10422211114031 has 16 divisors (see below), whose sum is σ = 10787773449600. Its totient is φ = 10057061991648.

The previous prime is 10422211113989. The next prime is 10422211114039. The reversal of 10422211114031 is 13041111222401.

It is a cyclic number.

It is not a de Polignac number, because 10422211114031 - 26 = 10422211113967 is a prime.

It is a super-2 number, since 2×104222111140312 (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 = 10422211113988 and 10422211114006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10422211114039) 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, 790333220 + ... + 790346406.

It is an arithmetic number, because the mean of its divisors is an integer number (674235840600).

Almost surely, 210422211114031 is an apocalyptic number.

10422211114031 is a deficient number, since it is larger than the sum of its proper divisors (365562335569).

10422211114031 is a wasteful number, since it uses less digits than its factorization.

10422211114031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26758.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 10422211114031 its reverse (13041111222401), we get a palindrome (23463322336432).

The spelling of 10422211114031 in words is "ten trillion, four hundred twenty-two billion, two hundred eleven million, one hundred fourteen thousand, thirty-one".

Divisors: 1 29 2459 11083 13187 71311 321407 382423 27253097 32426833 146151521 790339813 940378157 4238394109 359386590139 10422211114031