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243132112512 = 2733371901371
BaseRepresentation
bin1110001001101111001…
…1011001111010000000
3212020120021222000122000
43202123303121322000
512440413310100022
6303405432544000
723365016600112
oct3423363317200
9766507860560
10243132112512
1194125814783
123b154552000
1319c09261143
14baa66453b2
1564cede96ac
hex389bcd9e80

243132112512 has 128 divisors (see below), whose sum is σ = 736971787200. Its totient is φ = 78853616640.

The previous prime is 243132112511. The next prime is 243132112513. The reversal of 243132112512 is 215211231342.

It is a happy number.

243132112512 is a `hidden beast` number, since 2 + 4 + 3 + 1 + 32 + 112 + 512 = 666.

243132112512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (243132112511) and next prime (243132112513).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2431321125122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (243132112511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 822814 + ... + 1078557.

Almost surely, 2243132112512 is an apocalyptic number.

It is an amenable number.

243132112512 is an abundant number, since it is smaller than the sum of its proper divisors (493839674688).

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

243132112512 is a wasteful number, since it uses less digits than its factorization.

243132112512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901431 (or 1901413 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 243132112512 its reverse (215211231342), we get a palindrome (458343343854).

The spelling of 243132112512 in words is "two hundred forty-three billion, one hundred thirty-two million, one hundred twelve thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 192 216 222 288 296 333 384 432 444 576 592 666 864 888 999 1152 1184 1332 1728 1776 1998 2368 2664 3456 3552 3996 4736 5328 7104 7992 10656 14208 15984 21312 31968 42624 63936 127872 1901371 3802742 5704113 7605484 11408226 15210968 17112339 22816452 30421936 34224678 45632904 51337017 60843872 68449356 70350727 91265808 102674034 121687744 136898712 140701454 182531616 205348068 211052181 243375488 273797424 281402908 365063232 410696136 422104362 547594848 562805816 633156543 730126464 821392272 844208724 1095189696 1125611632 1266313086 1642784544 1688417448 1899469629 2190379392 2251223264 2532626172 3285569088 3376834896 3798939258 4502446528 5065252344 6571138176 6753669792 7597878516 9004893056 10130504688 13507339584 15195757032 20261009376 27014679168 30391514064 40522018752 60783028128 81044037504 121566056256 243132112512