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13032222223031 = 1197311255715359
BaseRepresentation
bin1011110110100100110011…
…1110011110101010110111
31201010212102222022001120022
42331221030332132222313
53202004442342114111
643414530434355355
72513355421104524
oct275511476365267
951125388261508
1013032222223031
114174a30771890
121565894a2bb5b
13736c1956308b
14330a9765414b
15178ee841c2db
hexbda4cf9eab7

13032222223031 has 32 divisors (see below), whose sum is σ = 14416295362560. Its totient is φ = 11682302284800.

The previous prime is 13032222223001. The next prime is 13032222223037.

13032222223031 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13032222223031 - 210 = 13032222222007 is a prime.

It is a super-2 number, since 2×130322222230312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13032222223037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 848499530 + ... + 848514888.

It is an arithmetic number, because the mean of its divisors is an integer number (450509230080).

Almost surely, 213032222223031 is an apocalyptic number.

13032222223031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13032222223031 is a deficient number, since it is larger than the sum of its proper divisors (1384073139529).

13032222223031 is a wasteful number, since it uses less digits than its factorization.

13032222223031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18335.

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 1303222 and 2223031, that added together give a palindrome (3526253).

The spelling of 13032222223031 in words is "thirteen trillion, thirty-two billion, two hundred twenty-two million, two hundred twenty-three thousand, thirty-one".

Divisors: 1 11 97 311 1067 2557 3421 15359 28127 30167 168949 248029 331837 795227 1489823 2728319 4776649 8747497 16388053 39272963 52543139 77137019 432002593 463334953 848507209 3809477411 5096684483 12213891493 41904251521 134352806423 1184747474821 13032222223031