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131103300300532 = 227193178831008437
BaseRepresentation
bin11101110011110011011101…
…101001001010111011110100
3122012012100112102011200201121
4131303303131221022323310
5114140444024334104112
61142500005200233324
736420620666422450
oct3563633551127364
9565170472150647
10131103300300532
113885666318891a
121285484600b844
13581ccb00194c1
14245360dabd660
15102546eb5b407
hex773cdda4aef4

131103300300532 has 96 divisors (see below), whose sum is σ = 284946822881280. Its totient is φ = 51506231736960.

The previous prime is 131103300300527. The next prime is 131103300300541. The reversal of 131103300300532 is 235003003301131.

It is a junction number, because it is equal to n+sod(n) for n = 131103300300497 and 131103300300506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129502218 + ... + 130510654.

It is an arithmetic number, because the mean of its divisors is an integer number (2968196071680).

Almost surely, 2131103300300532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131103300300532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142473411440640).

131103300300532 is an abundant number, since it is smaller than the sum of its proper divisors (153843522580748).

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

131103300300532 is a wasteful number, since it uses less digits than its factorization.

131103300300532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016381 (or 1016379 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 25.

Adding to 131103300300532 its reverse (235003003301131), we get a palindrome (366106303601663).

The spelling of 131103300300532 in words is "one hundred thirty-one trillion, one hundred three billion, three hundred million, three hundred thousand, five hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 31 38 62 76 124 133 217 266 434 532 589 868 1178 2356 4123 7883 8246 15766 16492 31532 55181 110362 149777 220724 244373 299554 488746 599108 977492 1008437 1048439 1710611 2016874 2096878 3421222 4033748 4193756 4643087 6842444 7059059 9286174 14118118 18572348 19160303 28236236 31261547 32501609 38320606 62523094 65003218 76641212 125046188 130006436 134122121 218830829 268244242 437661658 536488484 593969393 875323316 1187938786 2375877572 4157785751 7949508871 8315571502 15899017742 16631143004 31798035484 55646562097 111293124194 151040668549 222586248388 246434775001 302081337098 492869550002 604162674196 985739100004 1057284679843 1725043425007 2114569359686 3450086850014 4229138719372 4682260725019 6900173700028 9364521450038 18729042900076 32775825075133 65551650150266 131103300300532