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13430033003431 = 1143271911044217
BaseRepresentation
bin1100001101101110110001…
…0110001011001110100111
31202112220021002110112211201
43003123230112023032213
53230014201422102211
644321401052143331
72554200510666232
oct303335426131647
952486232415751
1013430033003431
114308710568090
12160a9b6a67b47
137655a64758b5
14346034b84419
1518452ca280c1
hexc36ec58b3a7

13430033003431 has 16 divisors (see below), whose sum is σ = 14992230451968. Its totient is φ = 11924737876800.

The previous prime is 13430033003419. The next prime is 13430033003437.

13430033003431 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13430033003431 - 25 = 13430033003399 is a prime.

It is a super-2 number, since 2×134300330034312 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13430033003431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13430033003437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12339235 + ... + 13383451.

It is an arithmetic number, because the mean of its divisors is an integer number (937014403248).

Almost surely, 213430033003431 is an apocalyptic number.

13430033003431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13430033003431 is a deficient number, since it is larger than the sum of its proper divisors (1562197448537).

13430033003431 is a wasteful number, since it uses less digits than its factorization.

13430033003431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071462.

The product of its (nonzero) digits is 11664, while the sum is 28.

It can be divided in two parts, 1343003 and 3003431, that added together give a palindrome (4346434).

The spelling of 13430033003431 in words is "thirteen trillion, four hundred thirty billion, thirty-three million, three thousand, four hundred thirty-one".

Divisors: 1 11 43 473 27191 299101 1044217 1169213 11486387 12861343 44901331 493914641 28393304447 312326348917 1220912091221 13430033003431