Search a number
-
+
1112220212124 = 223725989360223
BaseRepresentation
bin10000001011110101011…
…111011001101110011100
310221022211112112212022210
4100023311133121232130
5121210311333241444
62210540311040420
7143232565550100
oct20136537315634
93838745485283
101112220212124
1139976535025a
1215b680370110
1380b60752c18
143bb90449900
151dde871e7b9
hex102f57d9b9c

1112220212124 has 144 divisors (see below), whose sum is σ = 3104554521600. Its totient is φ = 308880278784.

The previous prime is 1112220212123. The next prime is 1112220212153. The reversal of 1112220212124 is 4212120222111.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1112220212124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112220212123) 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 47 ways as a sum of consecutive naturals, for example, 2907477 + ... + 3267699.

It is an arithmetic number, because the mean of its divisors is an integer number (21559406400).

Almost surely, 21112220212124 is an apocalyptic number.

1112220212124 is a gapful number since it is divisible by the number (14) 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 1112220212124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552277260800).

1112220212124 is an abundant number, since it is smaller than the sum of its proper divisors (1992334309476).

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

1112220212124 is a wasteful number, since it uses less digits than its factorization.

1112220212124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360392 (or 360383 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 1112220212124 its reverse (4212120222111), we get a palindrome (5324340434235).

The spelling of 1112220212124 in words is "one trillion, one hundred twelve billion, two hundred twenty million, two hundred twelve thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 59 84 89 98 118 147 177 178 196 236 267 294 354 356 413 534 588 623 708 826 1068 1239 1246 1652 1869 2478 2492 2891 3738 4361 4956 5251 5782 7476 8673 8722 10502 11564 13083 15753 17346 17444 21004 26166 31506 34692 36757 52332 63012 73514 110271 147028 220542 257299 360223 441084 514598 720446 771897 1029196 1080669 1440892 1543794 2161338 2521561 3087588 4322676 5043122 7564683 10086244 15129366 17650927 21253157 30258732 32059847 35301854 42506314 52952781 63759471 64119694 70603708 85012628 96179541 105905562 127518942 128239388 148772099 192359082 211811124 224418929 255037884 297544198 384718164 446316297 448837858 595088396 673256787 892632594 897675716 1041404693 1346513574 1570932503 1785265188 1891530973 2082809386 2693027148 3124214079 3141865006 3783061946 4165618772 4712797509 5674592919 6248428158 6283730012 7566123892 9425595018 11349185838 12496856316 13240716811 18851190036 22698371676 26481433622 39722150433 52962867244 79444300866 92685017677 158888601732 185370035354 278055053031 370740070708 556110106062 1112220212124