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2113434103212 = 223531608911519
BaseRepresentation
bin11110110000010010011…
…111010010110110101100
321111001010212010100100000
4132300102133102312230
5234111303112300322
64254522003304300
7305455603321155
oct36602237226654
97431125110300
102113434103212
117453364aa523
122a172097b090
131243b03678c3
147440db9a92c
1539e968173ac
hex1ec127d2dac

2113434103212 has 144 divisors (see below), whose sum is σ = 5720304844800. Its totient is φ = 681581796480.

The previous prime is 2113434103147. The next prime is 2113434103217. The reversal of 2113434103212 is 2123014343112.

2113434103212 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 434 + 10 + 3 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2113434103217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183467989 + ... + 183479507.

It is an arithmetic number, because the mean of its divisors is an integer number (39724339200).

Almost surely, 22113434103212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113434103212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860152422400).

2113434103212 is an abundant number, since it is smaller than the sum of its proper divisors (3606870741588).

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

2113434103212 is a wasteful number, since it uses less digits than its factorization.

2113434103212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17658 (or 17644 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 2113434103212 its reverse (2123014343112), we get a palindrome (4236448446324).

The spelling of 2113434103212 in words is "two trillion, one hundred thirteen billion, four hundred thirty-four million, one hundred three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 243 279 324 372 486 558 837 972 1116 1674 2511 3348 5022 6089 7533 10044 11519 12178 15066 18267 23038 24356 30132 34557 36534 46076 54801 69114 73068 103671 109602 138228 164403 188759 207342 219204 311013 328806 357089 377518 414684 493209 566277 622026 657612 714178 755036 933039 986418 1071267 1132554 1244052 1428356 1479627 1698831 1866078 1972836 2142534 2265108 2799117 2959254 3213801 3397662 3732156 4285068 5096493 5598234 5918508 6427602 6795324 9641403 10192986 11196468 12855204 15289479 19282806 20385972 28924209 30578958 38565612 45868437 57848418 61157916 70139191 86772627 91736874 115696836 140278382 173545254 183473748 210417573 280556764 347090508 420835146 631252719 841670292 1262505438 1893758157 2174314921 2525010876 3787516314 4348629842 5681274471 6522944763 7575032628 8697259684 11362548942 13045889526 17043823413 19568834289 22725097884 26091779052 34087646826 39137668578 58706502867 68175293652 78275337156 117413005734 176119508601 234826011468 352239017202 528358525803 704478034404 1056717051606 2113434103212