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101132440304 = 2471923180687
BaseRepresentation
bin101111000101111110…
…1101001001011110000
3100200001002112021022012
41132023331221023300
53124104401042204
6114243135102052
710210104362510
oct1361375511360
9320032467265
10101132440304
1139987698285
1217725071928
1396c930b06c
144c75605840
15296d87c76e
hex178bf692f0

101132440304 has 120 divisors (see below), whose sum is σ = 243969527808. Its totient is φ = 39736241280.

The previous prime is 101132440301. The next prime is 101132440349. The reversal of 101132440304 is 403044231101.

It is a super-2 number, since 2×1011324403042 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101132440304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101132440301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1213049 + ... + 1293735.

Almost surely, 2101132440304 is an apocalyptic number.

101132440304 is a gapful number since it is divisible by the number (14) 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 101132440304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121984763904).

101132440304 is an abundant number, since it is smaller than the sum of its proper divisors (142837087504).

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

101132440304 is a wasteful number, since it uses less digits than its factorization.

101132440304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80771 (or 80746 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 101132440304 its reverse (403044231101), we get a palindrome (504176671405).

The spelling of 101132440304 in words is "one hundred one billion, one hundred thirty-two million, four hundred forty thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 31 38 56 62 76 112 124 133 152 217 248 266 304 361 434 496 532 589 722 868 1064 1178 1444 1736 2128 2356 2527 2888 3472 4123 4712 5054 5776 8246 9424 10108 11191 16492 20216 22382 32984 40432 44764 65968 78337 80687 89528 156674 161374 179056 313348 322748 564809 626696 645496 1129618 1253392 1290992 1533053 2259236 2501297 3066106 4518472 5002594 6132212 9036944 10005188 10731371 12264424 17509079 20010376 21462742 24528848 29128007 35018158 40020752 42925484 47524643 58256014 70036316 85850968 95049286 116512028 140072632 171701936 190098572 203896049 233024056 280145264 332672501 380197144 407792098 466048112 665345002 760394288 815584196 902968217 1330690004 1631168392 1805936434 2661380008 3262336784 3611872868 5322760016 6320777519 7223745736 12641555038 14447491472 25283110076 50566220152 101132440304