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10022334112 = 257291997753
BaseRepresentation
bin10010101010110000…
…01010111010100000
3221212110210022202201
421111120022322200
5131011204142422
64334301222544
7503235301660
oct112530127240
927773708681
1010022334112
114283389a5a
121b38561a54
13c3950a11b
146b10d81a0
153d9d20727
hex25560aea0

10022334112 has 96 divisors (see below), whose sum is σ = 23448096000. Its totient is φ = 4125800448.

The previous prime is 10022334067. The next prime is 10022334121. The reversal of 10022334112 is 21143322001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10022334112.

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, 1288828 + ... + 1296580.

It is an arithmetic number, because the mean of its divisors is an integer number (244251000).

Almost surely, 210022334112 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 10022334112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11724048000).

10022334112 is an abundant number, since it is smaller than the sum of its proper divisors (13425761888).

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

10022334112 is a wasteful number, since it uses less digits than its factorization.

10022334112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7998 (or 7990 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10022334112 its reverse (21143322001), we get a palindrome (31165656113).

The spelling of 10022334112 in words is "ten billion, twenty-two million, three hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 199 203 224 232 398 406 464 796 812 928 1393 1592 1624 2786 3184 3248 5572 5771 6368 6496 7753 11144 11542 15506 22288 23084 31012 40397 44576 46168 54271 62024 80794 92336 108542 124048 161588 184672 217084 224837 248096 323176 434168 449674 646352 868336 899348 1292704 1542847 1573859 1736672 1798696 3085694 3147718 3597392 6171388 6295436 7194784 10799929 12342776 12590872 21599858 24685552 25181744 43199716 44742563 49371104 50363488 86399432 89485126 172798864 178970252 313197941 345597728 357940504 626395882 715881008 1252791764 1431762016 2505583528 5011167056 10022334112