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3122220143124 = 223229101137216133
BaseRepresentation
bin101101011011110010110…
…100101001001000010100
3102001110222220000211202200
4231123302310221020110
5402123301324034444
610350154513204500
7441400345222005
oct55336264511024
912043886024680
103122220143124
11aa4142969225
12425135260730
1319856897c214
14ab18b0411ac
1556339594969
hex2d6f2d29214

3122220143124 has 144 divisors (see below), whose sum is σ = 8305484962320. Its totient is φ = 987636787200.

The previous prime is 3122220143101. The next prime is 3122220143137. The reversal of 3122220143124 is 4213410222213.

3122220143124 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 2 + 201 + 431 + 24 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1147683690000 + 1974536453124 = 1071300^2 + 1405182^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14337762 + ... + 14553894.

It is an arithmetic number, because the mean of its divisors is an integer number (57676978905).

Almost surely, 23122220143124 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 3122220143124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4152742481160).

3122220143124 is an abundant number, since it is smaller than the sum of its proper divisors (5183264819196).

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

3122220143124 is a wasteful number, since it uses less digits than its factorization.

3122220143124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216410 (or 216405 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 3122220143124 its reverse (4213410222213), we get a palindrome (7335630365337).

The spelling of 3122220143124 in words is "three trillion, one hundred twenty-two billion, two hundred twenty million, one hundred forty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 101 116 137 174 202 261 274 303 348 404 411 522 548 606 822 909 1044 1212 1233 1644 1818 2466 2929 3636 3973 4932 5858 7946 8787 11716 11919 13837 15892 17574 23838 26361 27674 35148 35757 41511 47676 52722 55348 71514 83022 105444 124533 143028 166044 216133 249066 401273 432266 498132 648399 802546 864532 1203819 1296798 1605092 1945197 2407638 2593596 3611457 3890394 4815276 6267857 7222914 7780788 12535714 14445828 18803571 21829433 25071428 29610221 37607142 43658866 56410713 59220442 65488299 75214284 87317732 88830663 112821426 118440884 130976598 177661326 196464897 225642852 261953196 266491989 355322652 392929794 532983978 633053557 785859588 858696409 1065967956 1266107114 1717392818 1899160671 2532214228 2576089227 2990632321 3434785636 3798321342 5152178454 5697482013 5981264642 7596642684 7728267681 8971896963 10304356908 11394964026 11962529284 15456535362 17943793926 22789928052 26915690889 30913070724 35887587852 53831381778 86728337309 107662763556 173456674618 260185011927 346913349236 520370023854 780555035781 1040740047708 1561110071562 3122220143124