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1000022102031 = 310142110337589
BaseRepresentation
bin11101000110101011111…
…01100101000000001111
310112121020021000022202210
432203111331211000033
5112341021124231111
62043223120121503
7132151323421311
oct16432575450017
93477207008683
101000022102031
1135611a451537
12141989466293
13733bca36974
143658935b7b1
151b02d6800a6
hexe8d5f6500f

1000022102031 has 32 divisors (see below), whose sum is σ = 1351247578560. Its totient is φ = 657788544000.

The previous prime is 1000022101997. The next prime is 1000022102039. The reversal of 1000022102031 is 1302012200001.

It is not a de Polignac number, because 1000022102031 - 222 = 1000017907727 is a prime.

It is a super-2 number, since 2×10000221020312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000022101998 and 1000022102016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000022102039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131768785 + ... + 131776373.

It is an arithmetic number, because the mean of its divisors is an integer number (42226486830).

Almost surely, 21000022102031 is an apocalyptic number.

1000022102031 is a deficient number, since it is larger than the sum of its proper divisors (351225476529).

1000022102031 is a wasteful number, since it uses less digits than its factorization.

1000022102031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9147.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1000022102031 its reverse (1302012200001), we get a palindrome (2302034302032).

The spelling of 1000022102031 in words is "one trillion, twenty-two million, one hundred two thousand, thirty-one".

Divisors: 1 3 101 303 421 1033 1263 3099 7589 22767 42521 104333 127563 312999 434893 766489 1304679 2299467 3194969 7839437 9584907 23518311 43924193 131772579 322691869 791783137 968075607 2375349411 3300402977 9901208931 333340700677 1000022102031