Search a number
-
+
132311034110000 = 2454132291000159
BaseRepresentation
bin11110000101011000010000…
…001100000010000000110000
3122100110210220110102000211202
4132011120100030002000300
5114320240444213010000
61145222503331230332
736604104524422124
oct3605302014020060
9570423813360752
10132311034110000
1139181881460489
1212a0a9217483a8
1358a9b52956415
142495c613bd584
151046aa87b0dd5
hex785610302030

132311034110000 has 100 divisors (see below), whose sum is σ = 320362779844800. Its totient is φ = 52920360096000.

The previous prime is 132311034109979. The next prime is 132311034110009. The reversal of 132311034110000 is 11430113231.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (132311034110009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 131789921 + ... + 132790079.

It is an arithmetic number, because the mean of its divisors is an integer number (3203627798448).

Almost surely, 2132311034110000 is an apocalyptic number.

132311034110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132311034110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160181389922400).

132311034110000 is an abundant number, since it is smaller than the sum of its proper divisors (188051745734800).

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

132311034110000 is a wasteful number, since it uses less digits than its factorization.

132311034110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013416 (or 1013395 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 132311034110000 its reverse (11430113231), we get a palindrome (132322464223231).

The spelling of 132311034110000 in words is "one hundred thirty-two trillion, three hundred eleven billion, thirty-four million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 13229 26458 52916 66145 105832 132290 211664 264580 330725 529160 661450 1000159 1058320 1322900 1653625 2000318 2645800 3307250 4000636 5000795 5291600 6614500 8001272 8268125 10001590 13229000 16002544 16536250 20003180 25003975 26458000 33072500 40006360 50007950 66145000 80012720 100015900 125019875 132290000 200031800 250039750 400063600 500079500 625099375 1000159000 1250198750 2000318000 2500397500 5000795000 10001590000 13231103411 26462206822 52924413644 66155517055 105848827288 132311034110 211697654576 264622068220 330777585275 529244136440 661555170550 1058488272880 1323110341100 1653887926375 2646220682200 3307775852750 5292441364400 6615551705500 8269439631875 13231103411000 16538879263750 26462206822000 33077758527500 66155517055000 132311034110000