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10024442010 = 2335113375233
BaseRepresentation
bin10010101011000000…
…01101100010011010
3221212121202102021000
421111200031202122
5131012224121020
64334414325430
7503262231312
oct112540154232
927777672230
1010024442010
114284599720
121b391b9876
13c39a976bb
146b14c6442
153da0da090
hex25580d89a

10024442010 has 64 divisors (see below), whose sum is σ = 29162021760. Its totient is φ = 2430167040.

The previous prime is 10024441963. The next prime is 10024442039. The reversal of 10024442010 is 1024442001.

10024442010 is a `hidden beast` number, since 1 + 0 + 0 + 244 + 420 + 1 + 0 = 666.

It is a super-2 number, since 2×100244420102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1684647 + ... + 1690586.

It is an arithmetic number, because the mean of its divisors is an integer number (455656590).

Almost surely, 210024442010 is an apocalyptic number.

10024442010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10024442010 is an abundant number, since it is smaller than the sum of its proper divisors (19137579750).

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

10024442010 is a wasteful number, since it uses less digits than its factorization.

10024442010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3375260 (or 3375254 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10024442010 its reverse (1024442001), we get a palindrome (11048884011).

Subtracting from 10024442010 its reverse (1024442001), we obtain a palindrome (9000000009).

The spelling of 10024442010 in words is "ten billion, twenty-four million, four hundred forty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 3375233 6750466 10125699 16876165 20251398 30377097 33752330 37127563 50628495 60754194 74255126 91131291 101256990 111382689 151885485 182262582 185637815 222765378 303770970 334148067 371275630 455656455 556913445 668296134 911312910 1002444201 1113826890 1670740335 2004888402 3341480670 5012221005 10024442010