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10022324312 = 23711135232393
BaseRepresentation
bin10010101010110000…
…01000100001011000
3221212110202211022202
421111120020201120
5131011203334222
64334301105332
7503235231260
oct112530104130
927773684282
1010022324312
114283382660
121b38558248
13c39505820
146b10d47a0
153d9d1c892
hex255608858

10022324312 has 128 divisors (see below), whose sum is σ = 25289832960. Its totient is φ = 3596037120.

The previous prime is 10022324309. The next prime is 10022324341. The reversal of 10022324312 is 21342322001.

It is a super-2 number, since 2×100223243122 (a number of 21 digits) contains 22 as substring.

It is a congruent 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, 4186988 + ... + 4189380.

It is an arithmetic number, because the mean of its divisors is an integer number (197576820).

Almost surely, 210022324312 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 10022324312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12644916480).

10022324312 is an abundant number, since it is smaller than the sum of its proper divisors (15267508648).

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

10022324312 is a wasteful number, since it uses less digits than its factorization.

10022324312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953 (or 2949 counting only the distinct ones).

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

Adding to 10022324312 its reverse (21342322001), we get a palindrome (31364646313).

The spelling of 10022324312 in words is "ten billion, twenty-two million, three hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 523 572 616 728 1001 1046 1144 2002 2092 2393 3661 4004 4184 4786 5753 6799 7322 8008 9572 11506 13598 14644 16751 19144 23012 26323 27196 29288 31109 33502 40271 46024 47593 52646 54392 62218 67004 74789 80542 95186 105292 124436 134008 149578 161084 184261 190372 210584 217763 248872 299156 322168 342199 368522 380744 435526 523523 598312 684398 737044 871052 1047046 1251539 1368796 1474088 1742104 2094092 2395393 2503078 2737592 4188184 4790786 5006156 8760773 9581572 10012312 13766929 16270007 17521546 19163144 27533858 32540014 35043092 55067716 65080028 70086184 96368503 110135432 113890049 130160056 178970077 192737006 227780098 357940154 385474012 455560196 715880308 770948024 911120392 1252790539 1431760616 2505581078 5011162156 10022324312