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10330122112 = 272331711069
BaseRepresentation
bin10011001111011100…
…10010011110000000
3222122220221120112021
421213232102132000
5132124002401422
64425014211224
7513663406042
oct114756223600
928586846467
1010330122112
1144210a2702
122003653b14
13c882039bb
146ddd37a92
15406d6bdc7
hex267b92780

10330122112 has 64 divisors (see below), whose sum is σ = 21543991200. Its totient is φ = 4924463104.

The previous prime is 10330122107. The next prime is 10330122113. The reversal of 10330122112 is 21122103301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×103301221122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10330122113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 927714 + ... + 938782.

Almost surely, 210330122112 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 10330122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10771995600).

10330122112 is an abundant number, since it is smaller than the sum of its proper divisors (11213869088).

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

10330122112 is a wasteful number, since it uses less digits than its factorization.

10330122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11423 (or 11411 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10330122112 its reverse (21122103301), we get a palindrome (31452225413).

The spelling of 10330122112 in words is "ten billion, three hundred thirty million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 317 368 634 736 1268 1472 2536 2944 5072 7291 10144 11069 14582 20288 22138 29164 40576 44276 58328 88552 116656 177104 233312 254587 354208 466624 509174 708416 933248 1018348 1416832 2036696 3508873 4073392 7017746 8146784 14035492 16293568 28070984 32587136 56141968 80704079 112283936 161408158 224567872 322816316 449135744 645632632 1291265264 2582530528 5165061056 10330122112