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13430000331132 = 22371121011691763
BaseRepresentation
bin1100001101101110101001…
…1001100010100101111100
31202112220011210222121212120
43003123222121202211330
53230014120041044012
644321353524002540
72554166633200560
oct303335231424574
952486153877776
1013430000331132
1143086a4081990
12160a9a7b30450
1376559c776488
143460306bb6a0
15184529c2258c
hexc36ea66297c

13430000331132 has 96 divisors (see below), whose sum is σ = 39071007811584. Its totient is φ = 3488140708800.

The previous prime is 13430000331113. The next prime is 13430000331133. The reversal of 13430000331132 is 23113300003431.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13430000331133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19068283 + ... + 19760045.

It is an arithmetic number, because the mean of its divisors is an integer number (406989664704).

Almost surely, 213430000331132 is an apocalyptic number.

13430000331132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13430000331132 is an abundant number, since it is smaller than the sum of its proper divisors (25641007480452).

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

13430000331132 is a wasteful number, since it uses less digits than its factorization.

13430000331132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712799 (or 712797 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13430000331132 its reverse (23113300003431), we get a palindrome (36543300334563).

The spelling of 13430000331132 in words is "thirteen trillion, four hundred thirty billion, three hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 21011 42022 63033 84044 126066 147077 231121 252132 294154 441231 462242 588308 691763 693363 882462 924484 1383526 1386726 1617847 1764924 2075289 2767052 2773452 3235694 4150578 4842341 4853541 6471388 7609393 8301156 9684682 9707082 14527023 15218786 19369364 19414164 22828179 29054046 30437572 45656358 53265751 58108092 91312716 106531502 159797253 213063004 319594506 639189012 14534632393 29069264786 43603897179 58138529572 87207794358 101742426751 159880956323 174415588716 203484853502 305227280253 319761912646 406969707004 479642868969 610454560506 639523825292 959285737938 1119166694261 1220909121012 1918571475876 2238333388522 3357500082783 4476666777044 6715000165566 13430000331132