Search a number
-
+
1010223302032 = 24759251609079
BaseRepresentation
bin11101011001101100000…
…00000100010110010000
310120120120012100222102001
432230312000010112100
5113022414131131112
62052031251203344
7132662163246220
oct16546600042620
93516505328361
101010223302032
1135a48479903a
121439558a6554
137435730b699
1436c760d6080
151b429032c57
hexeb36004590

1010223302032 has 80 divisors (see below), whose sum is σ = 2283903820800. Its totient is φ = 423918288000.

The previous prime is 1010223302029. The next prime is 1010223302047. The reversal of 1010223302032 is 2302033220101.

It is a super-3 number, since 3×10102233020323 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1354069 + ... + 1963147.

It is an arithmetic number, because the mean of its divisors is an integer number (28548797760).

Almost surely, 21010223302032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010223302032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141951910400).

1010223302032 is an abundant number, since it is smaller than the sum of its proper divisors (1273680518768).

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

1010223302032 is a wasteful number, since it uses less digits than its factorization.

1010223302032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609404 (or 609398 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 1010223302032 its reverse (2302033220101), we get a palindrome (3312256522133).

The spelling of 1010223302032 in words is "one trillion, ten billion, two hundred twenty-three million, three hundred two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 59 112 118 236 251 413 472 502 826 944 1004 1652 1757 2008 3304 3514 4016 6608 7028 14056 14809 28112 29618 59236 103663 118472 207326 236944 414652 609079 829304 1218158 1658608 2436316 4263553 4872632 8527106 9745264 17054212 34108424 35935661 68216848 71871322 143742644 152878829 251549627 287485288 305757658 503099254 574970576 611515316 1006198508 1070151803 1223030632 2012397016 2140303606 2446061264 4024794032 4280607212 8561214424 9019850911 17122428848 18039701822 36079403644 63138956377 72158807288 126277912754 144317614576 252555825508 505111651016 1010223302032