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132311311001310 = 23571574013081923
BaseRepresentation
bin11110000101011000100000…
…101100010010011011011110
3122100110211121202102120022110
4132011120200230102123132
5114320242031104020220
61145222551022054450
736604114426104330
oct3605304054223336
9570424552376273
10132311311001310
1139181a03790a81
1212a0a99a41a426
1358a9b98122b2c
142495c8a099450
151046ac2c57be0
hex785620b126de

132311311001310 has 64 divisors (see below), whose sum is σ = 365222559739392. Its totient is φ = 30049957431936.

The previous prime is 132311311001249. The next prime is 132311311001321. The reversal of 132311311001310 is 13100113113231.

It is a super-2 number, since 2×1323113110013102 (a number of 29 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2006507992 + ... + 2006573931.

It is an arithmetic number, because the mean of its divisors is an integer number (5706602495928).

Almost surely, 2132311311001310 is an apocalyptic number.

132311311001310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132311311001310 is an abundant number, since it is smaller than the sum of its proper divisors (232911248738082).

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

132311311001310 is a wasteful number, since it uses less digits than its factorization.

132311311001310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4013082097.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 132311311001310 its reverse (13100113113231), we get a palindrome (145411424114541).

The spelling of 132311311001310 in words is "one hundred thirty-two trillion, three hundred eleven billion, three hundred eleven million, one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 157 210 314 471 785 942 1099 1570 2198 2355 3297 4710 5495 6594 10990 16485 32970 4013081923 8026163846 12039245769 20065409615 24078491538 28091573461 40130819230 56183146922 60196228845 84274720383 120392457690 140457867305 168549440766 280915734610 421373601915 630053861911 842747203830 1260107723822 1890161585733 3150269309555 3780323171466 4410377033377 6300538619110 8820754066754 9450807928665 13231131100131 18901615857330 22051885166885 26462262200262 44103770333770 66155655500655 132311311001310