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12210141100 = 22522347911083
BaseRepresentation
bin10110101111100011…
…11111011110101100
31011111221112102202011
423113301333132230
5200001244003400
65335333411004
7611402326003
oct132761773654
934457472664
1012210141100
1151a6340803
122449199a64
1311c785c981
1483b8bdc3a
154b6e2e8ba
hex2d7c7f7ac

12210141100 has 72 divisors (see below), whose sum is σ = 27708226560. Its totient is φ = 4661532480.

The previous prime is 12210141023. The next prime is 12210141101. The reversal of 12210141100 is 114101221.

It is not an unprimeable number, because it can be changed into a prime (12210141101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1096159 + ... + 1107241.

It is an arithmetic number, because the mean of its divisors is an integer number (384836480).

Almost surely, 212210141100 is an apocalyptic number.

12210141100 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 12210141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13854113280).

12210141100 is an abundant number, since it is smaller than the sum of its proper divisors (15498085460).

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

12210141100 is a wasteful number, since it uses less digits than its factorization.

12210141100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11599 (or 11592 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12210141100 its reverse (114101221), we get a palindrome (12324242321).

The spelling of 12210141100 in words is "twelve billion, two hundred ten million, one hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 479 575 958 1150 1916 2300 2395 4790 9580 11017 11083 11975 22034 22166 23950 44068 44332 47900 55085 55415 110170 110830 220340 221660 254909 275425 277075 509818 550850 554150 1019636 1101700 1108300 1274545 2549090 5098180 5308757 6372725 10617514 12745450 21235028 25490900 26543785 53087570 106175140 122101411 132718925 244202822 265437850 488405644 530875700 610507055 1221014110 2442028220 3052535275 6105070550 12210141100