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102301131132 = 2232173725717579
BaseRepresentation
bin101111101000110011…
…1110110000101111100
3100210001112121220201200
41133101213312011330
53134003042144012
6114555124135500
710251055160424
oct1372147660574
9323045556650
10102301131132
113a427359a72
12179b0537590
13985448c6b5
144d46905484
1529db2813dc
hex17d19f617c

102301131132 has 144 divisors (see below), whose sum is σ = 282316376160. Its totient is φ = 31103778816.

The previous prime is 102301131109. The next prime is 102301131223. The reversal of 102301131132 is 231131103201.

102301131132 is a `hidden beast` number, since 102 + 301 + 131 + 132 = 666.

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

It is a congruent number.

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, 5810719 + ... + 5828297.

It is an arithmetic number, because the mean of its divisors is an integer number (1960530390).

Almost surely, 2102301131132 is an apocalyptic number.

102301131132 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 102301131132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141158188080).

102301131132 is an abundant number, since it is smaller than the sum of its proper divisors (180015245028).

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

102301131132 is a wasteful number, since it uses less digits than its factorization.

102301131132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17900 (or 17895 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102301131132 its reverse (231131103201), we get a palindrome (333432234333).

The spelling of 102301131132 in words is "one hundred two billion, three hundred one million, one hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 51 68 74 102 111 148 153 204 222 257 306 333 444 514 612 629 666 771 1028 1258 1332 1542 1887 2313 2516 3084 3774 4369 4626 5661 7548 8738 9252 9509 11322 13107 17476 17579 19018 22644 26214 28527 35158 38036 39321 52428 52737 57054 70316 78642 85581 105474 114108 157284 158211 161653 171162 210948 298843 316422 323306 342324 484959 597686 632844 646612 650423 896529 969918 1195372 1300846 1454877 1793058 1939836 1951269 2601692 2689587 2909754 3586116 3902538 4517803 5379174 5819508 5853807 7805076 9035606 10758348 11057191 11707614 13553409 18071212 22114382 23415228 27106818 33171573 40660227 44228764 54213636 66343146 76802651 81320454 99514719 132686292 153605302 162640908 167158711 199029438 230407953 307210604 334317422 398058876 460815906 501476133 668634844 691223859 921631812 1002952266 1382447718 1504428399 2005904532 2764895436 2841698087 3008856798 5683396174 6017713596 8525094261 11366792348 17050188522 25575282783 34100377044 51150565566 102301131132