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10142403122020 = 2251339009242777
BaseRepresentation
bin1001001110010111011001…
…0101011101001101100100
31022220121022111211101020211
42103211312111131031210
52312133120144401040
633323204454105204
72064523130042251
oct223456625351544
938817274741224
1010142403122020
113260407172314
1211797ba34b204
1358756985a1c0
14270c75990428
15128c61b058ea
hex9397655d364

10142403122020 has 24 divisors (see below), whose sum is σ = 22937434753464. Its totient is φ = 3744887306496.

The previous prime is 10142403122017. The next prime is 10142403122057. The reversal of 10142403122020 is 2022130424101.

It can be written as a sum of positive squares in 4 ways, for example, as 261037202724 + 9881365919296 = 510918^2 + 3143464^2 .

It is a super-2 number, since 2×101424031220202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10142403121982 and 10142403122000.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 19504621129 + ... + 19504621648.

It is an arithmetic number, because the mean of its divisors is an integer number (955726448061).

Almost surely, 210142403122020 is an apocalyptic number.

10142403122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142403122020 is an abundant number, since it is smaller than the sum of its proper divisors (12795031631444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10142403122020 is a wasteful number, since it uses less digits than its factorization.

10142403122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39009242799 (or 39009242797 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10142403122020 its reverse (2022130424101), we get a palindrome (12164533546121).

The spelling of 10142403122020 in words is "ten trillion, one hundred forty-two billion, four hundred three million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 39009242777 78018485554 156036971108 195046213885 390092427770 507120156101 780184855540 1014240312202 2028480624404 2535600780505 5071201561010 10142403122020