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132213130031310 = 23531246914104133
BaseRepresentation
bin11110000011111101000100…
…101001100111000011001110
3122100010110012100121112010020
4132003331010221213003032
5114312134442242000220
61145105512355123010
736564040420452306
oct3603750451470316
9570113170545106
10132213130031310
1139144301128059
12129b39598a3466
1358a084c437203
142491214866606
151044278585040
hex783f44a670ce

132213130031310 has 32 divisors (see below), whose sum is σ = 317312550070560. Its totient is φ = 35256719342208.

The previous prime is 132213130031231. The next prime is 132213130031347. The reversal of 132213130031310 is 13130031312231.

It is a super-3 number, since 3×1322131300313103 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2322004 + ... + 16426136.

It is an arithmetic number, because the mean of its divisors is an integer number (9916017189705).

Almost surely, 2132213130031310 is an apocalyptic number.

132213130031310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132213130031310 is an abundant number, since it is smaller than the sum of its proper divisors (185099420039250).

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

132213130031310 is a wasteful number, since it uses less digits than its factorization.

132213130031310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14416612.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 132213130031310 its reverse (13130031312231), we get a palindrome (145343161343541).

The spelling of 132213130031310 in words is "one hundred thirty-two trillion, two hundred thirteen billion, one hundred thirty million, thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 312469 624938 937407 1562345 1874814 3124690 4687035 9374070 14104133 28208266 42312399 70520665 84624798 141041330 211561995 423123990 4407104334377 8814208668754 13221313003131 22035521671885 26442626006262 44071043343770 66106565015655 132213130031310