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2113200121312 = 257223229255877
BaseRepresentation
bin11110110000000100100…
…010101110010111100000
321111000112112211211111201
4132300010202232113200
5234110313212340222
64254442444250544
7305450032442200
oct36600442562740
97430475754451
102113200121312
11745226417455
122a1676540a54
13124373a43087
14743caa90400
1539e80ee9427
hex1ec048ae5e0

2113200121312 has 144 divisors (see below), whose sum is σ = 5072095596960. Its totient is φ = 862494538752.

The previous prime is 2113200121303. The next prime is 2113200121327. The reversal of 2113200121312 is 2131210023112.

It is a super-2 number, since 2×21132001213122 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2113200121312.

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, 8130718 + ... + 8386594.

It is an arithmetic number, because the mean of its divisors is an integer number (35222886090).

Almost surely, 22113200121312 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 2113200121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536047798480).

2113200121312 is an abundant number, since it is smaller than the sum of its proper divisors (2958895475648).

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

2113200121312 is a wasteful number, since it uses less digits than its factorization.

2113200121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256153 (or 256138 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 2113200121312 its reverse (2131210023112), we get a palindrome (4244410144424).

The spelling of 2113200121312 in words is "two trillion, one hundred thirteen billion, two hundred million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 92 98 112 161 184 196 224 229 322 368 392 458 644 736 784 916 1127 1288 1568 1603 1832 2254 2576 3206 3664 4508 5152 5267 6412 7328 9016 10534 11221 12824 18032 21068 22442 25648 36064 36869 42136 44884 51296 73738 84272 89768 147476 168544 179536 255877 258083 294952 359072 511754 516166 589904 1023508 1032332 1179808 1791139 2047016 2064664 3582278 4094032 4129328 5885171 7164556 8188064 8258656 11770342 12537973 14329112 23540684 25075946 28658224 41196197 47081368 50151892 57316448 58595833 82392394 94162736 100303784 117191666 164784788 188325472 200607568 234383332 288373379 329569576 401215136 410170831 468766664 576746758 659139152 820341662 937533328 1153493516 1318278304 1347704159 1640683324 1875066656 2306987032 2695408318 2871195817 3281366648 4613974064 5390816636 5742391634 6562733296 9227948128 9433929113 10781633272 11484783268 13125466592 18867858226 21563266544 22969566536 37735716452 43126533088 45939133072 66037503791 75471432904 91878266144 132075007582 150942865808 264150015164 301885731616 528300030328 1056600060656 2113200121312