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10030042213110 = 2335293141321807
BaseRepresentation
bin1001000111110100110100…
…0110100110101011110110
31022111212021212221210201000
42101331031012212223312
52303313011301304420
633155423205544130
72053434540056403
oct221751506465366
938455255853630
1010030042213110
11321779838a417
12115ba80a15046
13579aa11b059a
142696570052aa
15125d87609690
hex91f4d1a6af6

10030042213110 has 128 divisors (see below), whose sum is σ = 28561633689600. Its totient is φ = 2499142826880.

The previous prime is 10030042213097. The next prime is 10030042213111. The reversal of 10030042213110 is 1131224003001.

10030042213110 is a `hidden beast` number, since 1 + 0 + 0 + 300 + 42 + 213 + 110 = 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 (10030042213111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20418174 + ... + 20903633.

It is an arithmetic number, because the mean of its divisors is an integer number (223137763200).

Almost surely, 210030042213110 is an apocalyptic number.

10030042213110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10030042213110 is an abundant number, since it is smaller than the sum of its proper divisors (18531591476490).

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

10030042213110 is a wasteful number, since it uses less digits than its factorization.

10030042213110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41321883 (or 41321877 counting only the distinct ones).

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

Adding to 10030042213110 its reverse (1131224003001), we get a palindrome (11161266216111).

The spelling of 10030042213110 in words is "ten trillion, thirty billion, forty-two million, two hundred thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 31 45 54 58 62 87 90 93 135 145 155 174 186 261 270 279 290 310 435 465 522 558 783 837 870 899 930 1305 1395 1566 1674 1798 2610 2697 2790 3915 4185 4495 5394 7830 8091 8370 8990 13485 16182 24273 26970 40455 48546 80910 121365 242730 41321807 82643614 123965421 206609035 247930842 371896263 413218070 619827105 743792526 1115688789 1198332403 1239654210 1280976017 1859481315 2231377578 2396664806 2561952034 3594997209 3718962630 3842928051 5578443945 5991662015 6404880085 7189994418 7685856102 10784991627 11156887890 11528784153 11983324030 12809760170 17974986045 19214640255 21569983254 23057568306 32354974881 34586352459 35949972090 37148304493 38429280510 53924958135 57643920765 64709949762 69172704918 74296608986 107849916270 111444913479 115287841530 161774874405 172931762295 185741522465 222889826958 323549748810 334334740437 345863524590 371483044930 557224567395 668669480874 1003004221311 1114449134790 1671673702185 2006008442622 3343347404370 5015021106555 10030042213110