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1031110113132 = 22321123186760637
BaseRepresentation
bin11110000000100101111…
…00111011011101101100
310122120110211120220210100
433000102330323131230
5113343203142110012
62105404020111100
7134331604231221
oct17002274733554
93576424526710
101031110113132
113683228613a0
12147a04835490
13763056427c8
1437c980a3948
151bc4ca728dc
hexf012f3b76c

1031110113132 has 144 divisors (see below), whose sum is σ = 2968626915072. Its totient is φ = 298707488640.

The previous prime is 1031110113101. The next prime is 1031110113157. The reversal of 1031110113132 is 2313110111301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16974318 + ... + 17034954.

It is an arithmetic number, because the mean of its divisors is an integer number (20615464688).

Almost surely, 21031110113132 is an apocalyptic number.

1031110113132 is a gapful number since it is divisible by the number (12) 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 1031110113132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484313457536).

1031110113132 is an abundant number, since it is smaller than the sum of its proper divisors (1937516801940).

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

1031110113132 is a wasteful number, since it uses less digits than its factorization.

1031110113132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62548 (or 62543 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1031110113132 its reverse (2313110111301), we get a palindrome (3344220224433).

The spelling of 1031110113132 in words is "one trillion, thirty-one billion, one hundred ten million, one hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 759 828 1012 1518 1867 2277 3036 3734 4554 5601 7468 9108 11202 16803 20537 22404 33606 41074 42941 60637 61611 67212 82148 85882 121274 123222 128823 171764 181911 184833 242548 246444 257646 363822 369666 386469 472351 515292 545733 667007 727644 739332 772938 944702 1091466 1334014 1394651 1417053 1545876 1889404 2001021 2182932 2668028 2789302 2834106 4002042 4183953 4251159 5578604 5668212 6003063 8004084 8367906 8502318 12006126 12551859 15341161 16735812 17004636 24012252 25103718 30682322 46023483 50207436 61364644 92046966 113209279 138070449 184093932 226418558 276140898 339627837 452837116 552281796 679255674 1018883511 1245302069 1358511348 2037767022 2490604138 2603813417 3735906207 4075534044 4981208276 5207626834 7471812414 7811440251 10415253668 11207718621 14943624828 15622880502 22415437242 23434320753 28641947587 31245761004 44830874484 46868641506 57283895174 85925842761 93737283012 114567790348 171851685522 257777528283 343703371044 515555056566 1031110113132