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432312432313213 = 375631103144713003
BaseRepresentation
bin110001001001011111001010…
…0111101011100001101111101
32002200200122221201022200221001
41202102332110331130031331
5423131001330133010323
64131241331212010301
7160026354040562344
oct14222762475341575
92080618851280831
10432312432313213
11115825744751751
12405a1066a60991
131572bb6c92abca
1478a80677bab5b
1534ea689c5c3ad
hex1892f94f5c37d

432312432313213 has 32 divisors (see below), whose sum is σ = 445530352766976. Its totient is φ = 419178370932288.

The previous prime is 432312432313147. The next prime is 432312432313261. The reversal of 432312432313213 is 312313234213234.

It is a cyclic number.

It is not a de Polignac number, because 432312432313213 - 213 = 432312432305021 is a prime.

It is a super-2 number, since 2×4323124323132132 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432312432313283) 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, 33247123570 + ... + 33247136572.

It is an arithmetic number, because the mean of its divisors is an integer number (13922823523968).

Almost surely, 2432312432313213 is an apocalyptic number.

It is an amenable number.

432312432313213 is a deficient number, since it is larger than the sum of its proper divisors (13217920453763).

432312432313213 is a wasteful number, since it uses less digits than its factorization.

432312432313213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16153.

The product of its digits is 186624, while the sum is 37.

Adding to 432312432313213 its reverse (312313234213234), we get a palindrome (744625666526447).

The spelling of 432312432313213 in words is "four hundred thirty-two trillion, three hundred twelve billion, four hundred thirty-two million, three hundred thirteen thousand, two hundred thirteen".

Divisors: 1 37 563 1103 1447 13003 20831 40811 53539 481111 620989 814661 1596041 7320689 14342309 18815341 22976593 30142457 59053517 270865493 530665433 696167617 898571083 8074719967 10593036983 20753321123 33247130071 298764638779 391942368371 767872881551 11684119792249 432312432313213