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10120412214 = 23311137124363
BaseRepresentation
bin10010110110011100…
…10011110000110110
3222010022100012122000
421123032103300312
5131211311142324
64352123320130
7505536040653
oct113316236066
928108305560
1010120412214
114323788540
121b65380046
13c53929bc3
146c0148c2a
153e37459c9
hex25b393c36

10120412214 has 64 divisors (see below), whose sum is σ = 24713614080. Its totient is φ = 3044381760.

The previous prime is 10120412209. The next prime is 10120412279. The reversal of 10120412214 is 41221402101.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 19197 + ... + 143559.

It is an arithmetic number, because the mean of its divisors is an integer number (386150220).

Almost surely, 210120412214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120412214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12356807040).

10120412214 is an abundant number, since it is smaller than the sum of its proper divisors (14593201866).

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

10120412214 is a wasteful number, since it uses less digits than its factorization.

10120412214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124522 (or 124516 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10120412214 its reverse (41221402101), we get a palindrome (51341814315).

The spelling of 10120412214 in words is "ten billion, one hundred twenty million, four hundred twelve thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 137 198 274 297 411 594 822 1233 1507 2466 3014 3699 4521 7398 9042 13563 27126 40689 81378 124363 248726 373089 746178 1119267 1367993 2238534 2735986 3357801 4103979 6715602 8207958 12311937 17037731 24623874 34075462 36935811 51113193 73871622 102226386 153339579 187415041 306679158 374830082 460018737 562245123 920037474 1124490246 1686735369 3373470738 5060206107 10120412214