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10024403312 = 24711103197401
BaseRepresentation
bin10010101011000000…
…00100000101110000
3221212121200110011202
421111200010011300
5131012221401222
64334413430332
7503262010430
oct112540040560
927777613152
1010024403312
114284572640
121b3919b3a8
13c39a82bc1
146b14b62c0
153da0cd892
hex255804170

10024403312 has 160 divisors (see below), whose sum is σ = 24635280384. Its totient is φ = 3838464000.

The previous prime is 10024403297. The next prime is 10024403321. The reversal of 10024403312 is 21330442001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24998312 + ... + 24998712.

Almost surely, 210024403312 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 10024403312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12317640192).

10024403312 is an abundant number, since it is smaller than the sum of its proper divisors (14610877072).

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

10024403312 is a wasteful number, since it uses less digits than its factorization.

10024403312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10024403312 its reverse (21330442001), we get a palindrome (31354845313).

The spelling of 10024403312 in words is "ten billion, twenty-four million, four hundred three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 103 112 154 176 197 206 308 394 401 412 616 721 788 802 824 1133 1232 1379 1442 1576 1604 1648 2167 2266 2758 2807 2884 3152 3208 4334 4411 4532 5516 5614 5768 6416 7931 8668 8822 9064 11032 11228 11536 15169 15862 17336 17644 18128 20291 22064 22456 30338 30877 31724 34672 35288 40582 41303 44912 60676 61754 63448 70576 78997 81164 82606 121352 123508 126896 142037 157994 162328 165212 223201 242704 247016 284074 289121 315988 324656 330424 446402 454333 494032 552979 568148 578242 631976 660848 868967 892804 908666 1105958 1136296 1156484 1263952 1562407 1737934 1785608 1817332 2211916 2272592 2312968 3124814 3180331 3475868 3571216 3634664 4423832 4625936 6082769 6249628 6360662 6951736 7269328 8136691 8847664 12165538 12499256 12721324 13903472 16273382 24331076 24998512 25442648 32546764 48662152 50885296 56956837 65093528 89503601 97324304 113913674 130187056 179007202 227827348 358014404 455654696 626525207 716028808 911309392 1253050414 1432057616 2506100828 5012201656 10024403312