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13453233235431 = 31110774312594073
BaseRepresentation
bin1100001111000101001100…
…1100000010010111100111
31202122010010221210110002120
43003301103030002113213
53230404210202013211
644340155141441023
72555651442500463
oct303612314022747
952563127713076
1013453233235431
114317536488840
1216133b0710173
13767832b70822
143471d60b54a3
15184e396dad06
hexc3c533025e7

13453233235431 has 64 divisors (see below), whose sum is σ = 19798372823040. Its totient is φ = 8058016951040.

The previous prime is 13453233235399. The next prime is 13453233235459.

13453233235431 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13453233235431 - 25 = 13453233235399 is a prime.

It is a super-2 number, since 2×134532332354312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13453233235231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3303026011 + ... + 3303030083.

It is an arithmetic number, because the mean of its divisors is an integer number (309349575360).

Almost surely, 213453233235431 is an apocalyptic number.

13453233235431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13453233235431 is a deficient number, since it is larger than the sum of its proper divisors (6345139587609).

13453233235431 is a wasteful number, since it uses less digits than its factorization.

13453233235431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6196.

The product of its digits is 1166400, while the sum is 42.

The spelling of 13453233235431 in words is "thirteen trillion, four hundred fifty-three billion, two hundred thirty-three million, two hundred thirty-five thousand, four hundred thirty-one".

Divisors: 1 3 11 33 107 321 743 1177 1259 2229 3531 3777 4073 8173 12219 13849 24519 41547 44803 79501 134409 134713 238503 404139 435811 874511 935437 1307433 1481843 2623533 2806311 3026239 4445529 4793921 5127907 9078717 10289807 14381763 15383721 30869421 33288629 56406977 99865887 100091759 169220931 300275277 323807573 548686049 971422719 1101009349 1646058147 3303028047 3561883303 3810034901 6035546539 10685649909 11430104703 18106639617 41910383911 125731151733 407673734407 1223021203221 4484411078477 13453233235431