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12200101100334 = 2327175695658777
BaseRepresentation
bin1011000110001000111010…
…1100010011101100101110
31121012022121000121012212200
42301202032230103230232
53044341301340202314
641540352111042330
72366266610213460
oct261421654235456
947168530535780
1012200101100334
1139840410191a4
1214505652103a6
136a6606949334
143026b929a130
151625451b5709
hexb188eb13b2e

12200101100334 has 48 divisors (see below), whose sum is σ = 31986819697248. Its totient is φ = 3280699454976.

The previous prime is 12200101100303. The next prime is 12200101100353. The reversal of 12200101100334 is 43300110100221.

12200101100334 is a `hidden beast` number, since 1 + 220 + 0 + 1 + 0 + 110 + 0 + 334 = 666.

12200101100334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2847827247 + ... + 2847831530.

It is an arithmetic number, because the mean of its divisors is an integer number (666392077026).

Almost surely, 212200101100334 is an apocalyptic number.

12200101100334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12200101100334 is an abundant number, since it is smaller than the sum of its proper divisors (19786718596914).

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

12200101100334 is a wasteful number, since it uses less digits than its factorization.

12200101100334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5695658809 (or 5695658806 counting only the distinct ones).

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

Adding to 12200101100334 its reverse (43300110100221), we get a palindrome (55500211200555).

The spelling of 12200101100334 in words is "twelve trillion, two hundred billion, one hundred one million, one hundred thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1071 2142 5695658777 11391317554 17086976331 34173952662 39869611439 51260928993 79739222878 96826199209 102521857986 119608834317 193652398418 239217668634 290478597627 358826502951 580957195254 677783394463 717653005902 871435792881 1355566788926 1742871585762 2033350183389 4066700366778 6100050550167 12200101100334