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2143216123412 = 2271340114839901
BaseRepresentation
bin11111001100000001101…
…000101011111000010100
321120220000102020201122012
4133030001220223320110
5240103301311422122
64320325131323352
7310561615316330
oct37140150537024
97526012221565
102143216123412
11756a296a0061
122a74528b0558
1312714851b970
1475a372a27c0
153ab3b2347e2
hex1f301a2be14

2143216123412 has 96 divisors (see below), whose sum is σ = 4631257607424. Its totient is φ = 845095680000.

The previous prime is 2143216123351. The next prime is 2143216123423.

2143216123412 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21432161234122 (a number of 25 digits) contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

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, 216459662 + ... + 216469562.

It is an arithmetic number, because the mean of its divisors is an integer number (48242266744).

Almost surely, 22143216123412 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 2143216123412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315628803712).

2143216123412 is an abundant number, since it is smaller than the sum of its proper divisors (2488041484012).

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

2143216123412 is a wasteful number, since it uses less digits than its factorization.

2143216123412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11809 (or 11807 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The spelling of 2143216123412 in words is "two trillion, one hundred forty-three billion, two hundred sixteen million, one hundred twenty-three thousand, four hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 401 802 1483 1604 2807 2966 5213 5614 5932 9901 10381 10426 11228 19279 19802 20762 20852 36491 38558 39604 41524 69307 72982 77116 128713 134953 138614 145964 257426 269906 277228 514852 539812 594683 900991 1189366 1801982 2378732 3603964 3970301 4162781 7730879 7940602 8325562 14683183 15461758 15881204 16651124 27792107 29366366 30923516 51613913 54116153 55584214 58732732 102782281 103227826 108232306 111168428 190881379 205564562 206455652 216464612 361297391 381762758 411129124 722594782 763525516 1336169653 1445189564 2672339306 5344678612 5887956383 11775912766 23551825532 41215694681 76543432979 82431389362 153086865958 164862778724 306173731916 535804030853 1071608061706 2143216123412