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1312122020112 = 243343271260647
BaseRepresentation
bin10011000110000000100…
…100010010000100010000
311122102211001001212201000
4103012000210102010100
5132444211214120422
62442440332342000
7163540415102031
oct23060044220420
94572731055630
101312122020112
11466516745332
1219236b014900
139696a6124c7
144771548aa88
15241e8249cac
hex13180912110

1312122020112 has 160 divisors (see below), whose sum is σ = 3868099727360. Its totient is φ = 425624492160.

The previous prime is 1312122020101. The next prime is 1312122020147. The reversal of 1312122020112 is 2110202212131.

1312122020112 is a `hidden beast` number, since 1 + 312 + 1 + 220 + 20 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4903773 + ... + 5164419.

It is an arithmetic number, because the mean of its divisors is an integer number (24175623296).

Almost surely, 21312122020112 is an apocalyptic number.

1312122020112 is a gapful number since it is divisible by the number (12) 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 1312122020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934049863680).

1312122020112 is an abundant number, since it is smaller than the sum of its proper divisors (2555977707248).

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

1312122020112 is a wasteful number, since it uses less digits than its factorization.

1312122020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260978 (or 260966 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1312122020112 its reverse (2110202212131), we get a palindrome (3422324232243).

The spelling of 1312122020112 in words is "one trillion, three hundred twelve billion, one hundred twenty-two million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 258 271 344 387 432 516 542 688 774 813 1032 1084 1161 1548 1626 2064 2168 2322 2439 3096 3252 4336 4644 4878 6192 6504 7317 9288 9756 11653 13008 14634 18576 19512 23306 29268 34959 39024 46612 58536 69918 93224 104877 117072 139836 186448 209754 260647 279672 314631 419508 521294 559344 629262 781941 839016 1042588 1258524 1563882 1678032 2085176 2345823 2517048 3127764 4170352 4691646 5034096 6255528 7037469 9383292 11207821 12511056 14074938 18766584 22415642 28149876 33623463 37533168 44831284 56299752 67246926 70635337 89662568 100870389 112599504 134493852 141270674 179325136 201740778 211906011 268987704 282541348 302611167 403481556 423812022 537975408 565082696 605222334 635718033 806963112 847624044 1130165392 1210444668 1271436066 1613926224 1695248088 1907154099 2420889336 2542872132 3037319491 3390496176 3814308198 4841778672 5085744264 6074638982 7628616396 9111958473 10171488528 12149277964 15257232792 18223916946 24298555928 27335875419 30514465584 36447833892 48597111856 54671750838 72895667784 82007626257 109343501676 145791335568 164015252514 218687003352 328030505028 437374006704 656061010056 1312122020112