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10142412211663 = 173160132022569
BaseRepresentation
bin1001001110010111011011…
…1000001000010111001111
31022220121100010221011220021
42103211312320020113033
52312133130011233123
633323205421003011
72064523300230544
oct223456670102717
938817303834807
1010142412211663
113260411310516
1211798013b3467
1358756b6c05a4
14270c76c78bcb
15128c627edc5d
hex93976e085cf

10142412211663 has 16 divisors (see below), whose sum is σ = 11103890192640. Its totient is φ = 9222499584000.

The previous prime is 10142412211661. The next prime is 10142412211721. The reversal of 10142412211663 is 36611221424101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10142412211663 - 21 = 10142412211661 is a prime.

It is a super-2 number, since 2×101424122116632 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142412211661) 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, 15694558 + ... + 16328011.

It is an arithmetic number, because the mean of its divisors is an integer number (693993137040).

Almost surely, 210142412211663 is an apocalyptic number.

10142412211663 is a deficient number, since it is larger than the sum of its proper divisors (961477980977).

10142412211663 is a wasteful number, since it uses less digits than its factorization.

10142412211663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32023218.

The product of its (nonzero) digits is 13824, while the sum is 34.

Adding to 10142412211663 its reverse (36611221424101), we get a palindrome (46753633635764).

The spelling of 10142412211663 in words is "ten trillion, one hundred forty-two billion, four hundred twelve million, two hundred eleven thousand, six hundred sixty-three".

Divisors: 1 17 31 527 601 10217 18631 316727 32022569 544383673 992699639 16875893863 19245563969 327174587473 596612483039 10142412211663