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10213340112 = 2433109216899
BaseRepresentation
bin10011000001100001…
…10011001111010000
3222100210012102202000
421200300303033100
5131404103340422
64405243154000
7511044646533
oct114060631720
928323172660
1010213340112
114371189658
121b90515900
13c69c65721
146cc618a1a
153eb99ecac
hex260c333d0

10213340112 has 80 divisors (see below), whose sum is σ = 29585160000. Its totient is φ = 3373197696.

The previous prime is 10213340101. The next prime is 10213340119. The reversal of 10213340112 is 21104331201.

10213340112 is a `hidden beast` number, since 1 + 0 + 213 + 340 + 112 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213340119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61362 + ... + 155537.

It is an arithmetic number, because the mean of its divisors is an integer number (369814500).

Almost surely, 210213340112 is an apocalyptic number.

10213340112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10213340112 is an abundant number, since it is smaller than the sum of its proper divisors (19371819888).

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

10213340112 is a wasteful number, since it uses less digits than its factorization.

10213340112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217025 (or 217013 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10213340112 its reverse (21104331201), we get a palindrome (31317671313).

The spelling of 10213340112 in words is "ten billion, two hundred thirteen million, three hundred forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 109 144 216 218 327 432 436 654 872 981 1308 1744 1962 2616 2943 3924 5232 5886 7848 11772 15696 23544 47088 216899 433798 650697 867596 1301394 1735192 1952091 2602788 3470384 3904182 5205576 5856273 7808364 10411152 11712546 15616728 23425092 23641991 31233456 46850184 47283982 70925973 93700368 94567964 141851946 189135928 212777919 283703892 378271856 425555838 567407784 638333757 851111676 1134815568 1276667514 1702223352 2553335028 3404446704 5106670056 10213340112