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132313211310 = 23573891619699
BaseRepresentation
bin111101100111001111…
…0110110000110101110
3110122112010122112222210
41323032132312012232
54131434140230220
6140441151151250
712362562511440
oct1731636660656
9418463575883
10132313211310
11511283a4015
1221787515526
13c6281c4117
1465927b6490
153695e946e0
hex1ece7b61ae

132313211310 has 64 divisors (see below), whose sum is σ = 363849408000. Its totient is φ = 30165255552.

The previous prime is 132313211299. The next prime is 132313211311. The reversal of 132313211310 is 13112313231.

It is a happy number.

It is a super-2 number, since 2×1323132113102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132313211311) 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, 728160 + ... + 891539.

It is an arithmetic number, because the mean of its divisors is an integer number (5685147000).

Almost surely, 2132313211310 is an apocalyptic number.

132313211310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132313211310 is an abundant number, since it is smaller than the sum of its proper divisors (231536196690).

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

132313211310 is a wasteful number, since it uses less digits than its factorization.

132313211310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620105.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 132313211310 its reverse (13112313231), we get a palindrome (145425524541).

The spelling of 132313211310 in words is "one hundred thirty-two billion, three hundred thirteen million, two hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 389 778 1167 1945 2334 2723 3890 5446 5835 8169 11670 13615 16338 27230 40845 81690 1619699 3239398 4859097 8098495 9718194 11337893 16196990 22675786 24295485 34013679 48590970 56689465 68027358 113378930 170068395 340136790 630062911 1260125822 1890188733 3150314555 3780377466 4410440377 6300629110 8820880754 9450943665 13231321131 18901887330 22052201885 26462642262 44104403770 66156605655 132313211310