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13124143100412 = 223231611671154411
BaseRepresentation
bin1011111011111011001111…
…1000110011000111111100
31201110122201002122110002100
42332332303320303013330
53210011221113203122
643525051554025100
72523121333502631
oct276766370630774
951418632573070
1013124143100412
1141aaa106a8543
12157b668b78190
137427a8318796
143352d76d2188
1517b5c822caac
hexbefb3e331fc

13124143100412 has 144 divisors (see below), whose sum is σ = 35014922901504. Its totient is φ = 4139252496000.

The previous prime is 13124143100333. The next prime is 13124143100489. The reversal of 13124143100412 is 21400134142131.

It is a happy number.

13124143100412 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 4 + 143 + 100 + 412 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10791487 + ... + 11945897.

It is an arithmetic number, because the mean of its divisors is an integer number (243159186816).

Almost surely, 213124143100412 is an apocalyptic number.

13124143100412 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 13124143100412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17507461450752).

13124143100412 is an abundant number, since it is smaller than the sum of its proper divisors (21890779801092).

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

13124143100412 is a wasteful number, since it uses less digits than its factorization.

13124143100412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154680 (or 1154675 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 13124143100412 its reverse (21400134142131), we get a palindrome (34524277242543).

The spelling of 13124143100412 in words is "thirteen trillion, one hundred twenty-four billion, one hundred forty-three million, one hundred thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 61 62 93 122 124 167 183 186 244 279 334 366 372 501 549 558 668 732 1002 1098 1116 1503 1891 2004 2196 3006 3782 5177 5673 6012 7564 10187 10354 11346 15531 17019 20374 20708 22692 30561 31062 34038 40748 46593 61122 62124 68076 91683 93186 122244 183366 186372 315797 366732 631594 947391 1154411 1263188 1894782 2308822 2842173 3463233 3789564 4617644 5684346 6926466 10389699 11368692 13852932 20779398 35786741 41558796 70419071 71573482 107360223 140838142 143146964 192786637 211257213 214720446 281676284 322080669 385573274 422514426 429440892 578359911 633771639 644161338 771146548 845028852 1156719822 1267543278 1288322676 1735079733 2182991201 2313439644 2535086556 3470159466 4365982402 5976385747 6548973603 6940318932 8731964804 11759984857 11952771494 13097947206 17929157241 19646920809 23519969714 23905542988 26195894412 35279954571 35858314482 39293841618 47039939428 53787471723 70559909142 71716628964 78587683236 105839863713 107574943446 141119818284 211679727426 215149886892 364559530567 423359454852 729119061134 1093678591701 1458238122268 2187357183402 3281035775103 4374714366804 6562071550206 13124143100412