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12212414010 = 2335325113913
BaseRepresentation
bin10110101111110101…
…01010011000111010
31011112002210220121000
423113322222120322
5200002334222020
65335454225430
7611430543366
oct132772523072
934462726530
1012212414010
1151a7653445
122449ab5276
1311c81773a4
1483bd122a6
154b722d090
hex2d7eaa63a

12212414010 has 64 divisors (see below), whose sum is σ = 32578796160. Its totient is φ = 3255408000.

The previous prime is 12212414003. The next prime is 12212414017. The reversal of 12212414010 is 1041421221.

12212414010 is a `hidden beast` number, since 1 + 2 + 21 + 241 + 401 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12212414003) and next prime (12212414017).

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

It is not an unprimeable number, because it can be changed into a prime (12212414017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 870814 + ... + 884726.

It is an arithmetic number, because the mean of its divisors is an integer number (509043690).

Almost surely, 212212414010 is an apocalyptic number.

12212414010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12212414010 is an abundant number, since it is smaller than the sum of its proper divisors (20366382150).

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

12212414010 is a wasteful number, since it uses less digits than its factorization.

12212414010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17180 (or 17174 counting only the distinct ones).

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

Adding to 12212414010 its reverse (1041421221), we get a palindrome (13253835231).

The spelling of 12212414010 in words is "twelve billion, two hundred twelve million, four hundred fourteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 3251 6502 9753 13913 16255 19506 27826 29259 32510 41739 48765 58518 69565 83478 87777 97530 125217 139130 146295 175554 208695 250434 292590 375651 417390 438885 626085 751302 877770 1252170 1878255 3756510 45231163 90462326 135693489 226155815 271386978 407080467 452311630 678467445 814160934 1221241401 1356934890 2035402335 2442482802 4070804670 6106207005 12212414010