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10024211092 = 22717791272099
BaseRepresentation
bin10010101010111110…
…10101001010010100
3221212121022200111111
421111133111022110
5131012144223332
64334405344404
7503260250140
oct112537251224
927777280444
1010024211092
114284451185
121b39108104
13c39a1656c
146b1466220
153da091947
hex2557d5294

10024211092 has 96 divisors (see below), whose sum is σ = 21676032000. Its totient is φ = 3958875648.

The previous prime is 10024211063. The next prime is 10024211107. The reversal of 10024211092 is 29011242001.

10024211092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4774659 + ... + 4776757.

It is an arithmetic number, because the mean of its divisors is an integer number (225792000).

Almost surely, 210024211092 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 10024211092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10838016000).

10024211092 is an abundant number, since it is smaller than the sum of its proper divisors (11651820908).

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

10024211092 is a wasteful number, since it uses less digits than its factorization.

10024211092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 10024211092 its reverse (29011242001), we get a palindrome (39035453093).

The spelling of 10024211092 in words is "ten billion, twenty-four million, two hundred eleven thousand, ninety-two".

Divisors: 1 2 4 7 14 17 28 34 68 79 119 127 158 238 254 316 476 508 553 889 1106 1343 1778 2099 2159 2212 2686 3556 4198 4318 5372 8396 8636 9401 10033 14693 15113 18802 20066 29386 30226 35683 37604 40132 58772 60452 70231 71366 140462 142732 165821 170561 249781 266573 280924 331642 341122 499562 533146 663284 682244 999124 1066292 1160747 1193927 1866011 2321494 2387854 2818957 3732022 4531741 4642988 4775708 5637914 7464044 9063482 11275828 18126964 19732699 21059267 31722187 39465398 42118534 63444374 78930796 84237068 126888748 147414869 294829738 358007539 589659476 716015078 1432030156 2506052773 5012105546 10024211092