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131003011200 = 2735213646147
BaseRepresentation
bin111101000000001100…
…0110101000010000000
3110112010211021111022210
41322000120311002000
54121243232324300
6140103145102120
712315243136155
oct1720030650200
9415124244283
10131003011200
115061586a306
1221480787940
13c479927499
1464aa79c22c
15361ae3c050
hex1e80635080

131003011200 has 96 divisors (see below), whose sum is σ = 431491199760. Its totient is φ = 34934133760.

The previous prime is 131003011193. The next prime is 131003011207. The reversal of 131003011200 is 2110300131.

It is an interprime number because it is at equal distance from previous prime (131003011193) and next prime (131003011207).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (131003011207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6813474 + ... + 6832673.

Almost surely, 2131003011200 is an apocalyptic number.

131003011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131003011200 is an abundant number, since it is smaller than the sum of its proper divisors (300488188560).

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

131003011200 is a wasteful number, since it uses less digits than its factorization.

131003011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13646174 (or 13646157 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 131003011200 its reverse (2110300131), we get a palindrome (133113311331).

The spelling of 131003011200 in words is "one hundred thirty-one billion, three million, eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 13646147 27292294 40938441 54584588 68230735 81876882 109169176 136461470 163753764 204692205 218338352 272922940 327507528 341153675 409384410 436676704 545845880 655015056 682307350 818768820 873353408 1023461025 1091691760 1310030112 1364614700 1637537640 1746706816 2046922050 2183383520 2620060224 2729229400 3275075280 4093844100 4366767040 5240120448 5458458800 6550150560 8187688200 8733534080 10916917600 13100301120 16375376400 21833835200 26200602240 32750752800 43667670400 65501505600 131003011200