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12210301340 = 22517591573877
BaseRepresentation
bin10110101111100101…
…00110100110011100
31011111221211120112222
423113302212212130
5200001314120330
65335341044512
7611403564116
oct132762464634
934457746488
1012210301340
1151a6440136
122449256738
1311c78b78a3
1483b9223b6
154b6e620e5
hex2d7ca699c

12210301340 has 96 divisors (see below), whose sum is σ = 27793160640. Its totient is φ = 4488966144.

The previous prime is 12210301267. The next prime is 12210301361. The reversal of 12210301340 is 4310301221.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3147482 + ... + 3151358.

It is an arithmetic number, because the mean of its divisors is an integer number (289512090).

Almost surely, 212210301340 is an apocalyptic number.

12210301340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12210301340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13896580320).

12210301340 is an abundant number, since it is smaller than the sum of its proper divisors (15582859300).

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

12210301340 is a wasteful number, since it uses less digits than its factorization.

12210301340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4119 (or 4117 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12210301340 its reverse (4310301221), we get a palindrome (16520602561).

The spelling of 12210301340 in words is "twelve billion, two hundred ten million, three hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 59 68 85 118 157 170 236 295 314 340 590 628 785 1003 1180 1570 2006 2669 3140 3877 4012 5015 5338 7754 9263 10030 10676 13345 15508 18526 19385 20060 26690 37052 38770 46315 53380 65909 77540 92630 131818 157471 185260 228743 263636 314942 329545 457486 608689 629884 659090 787355 914972 1143715 1217378 1318180 1574710 2287430 2434756 3043445 3149420 3888631 4574860 6086890 7777262 10347713 12173780 15554524 19443155 20695426 35912651 38886310 41390852 51738565 71825302 77772620 103477130 143650604 179563255 206954260 359126510 610515067 718253020 1221030134 2442060268 3052575335 6105150670 12210301340