Search a number
-
+
2213230313112 = 2337133061331063
BaseRepresentation
bin100000001101001110110…
…011100111111010011000
321211120201211022002010020
4200031032303213322120
5242230143430004422
64412424410350440
7315620624155350
oct40151663477230
97746654262106
102213230313112
117836978a4055
122b8b3242b420
13130925893b90
1479199b2db60
153c887be995c
hex2034ece7e98

2213230313112 has 128 divisors (see below), whose sum is σ = 6812184744960. Its totient is φ = 583516638720.

The previous prime is 2213230313059. The next prime is 2213230313113. The reversal of 2213230313112 is 2113130323122.

2213230313112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22132303131123 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213230313113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6519693 + ... + 6850755.

It is an arithmetic number, because the mean of its divisors is an integer number (53220193320).

Almost surely, 22213230313112 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 2213230313112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3406092372480).

2213230313112 is an abundant number, since it is smaller than the sum of its proper divisors (4598954431848).

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

2213230313112 is a wasteful number, since it uses less digits than its factorization.

2213230313112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334153 (or 334149 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 2213230313112 its reverse (2113130323122), we get a palindrome (4326360636234).

The spelling of 2213230313112 in words is "two trillion, two hundred thirteen billion, two hundred thirty million, three hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 3061 6122 9183 12244 18366 21427 24488 36732 39793 42854 64281 73464 79586 85708 119379 128562 159172 171416 238758 257124 278551 318344 331063 477516 514248 557102 662126 835653 955032 993189 1114204 1324252 1671306 1986378 2228408 2317441 2648504 3342612 3972756 4303819 4634882 6685224 6952323 7945512 8607638 9269764 12911457 13904646 17215276 18539528 25822914 27809292 30126733 34430552 51645828 55618584 60253466 90380199 103291656 120506932 180760398 241013864 361520796 723041592 1013383843 2026767686 3040151529 4053535372 6080303058 7093686901 8107070744 12160606116 13173989959 14187373802 21281060703 24321212232 26347979918 28374747604 39521969877 42562121406 52695959836 56749495208 79043939754 85124242812 92217929713 105391919672 158087879508 170248485624 184435859426 276653789139 316175759016 368871718852 553307578278 737743437704 1106615156556 2213230313112