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131001111242346 = 231713138925203097
BaseRepresentation
bin11101110010010100010010…
…101100110110011001101010
3122011211120202200102200011210
4131302110102230312121222
5114132310233434223341
61142341025114133550
736410342441646222
oct3562242254663152
9564746680380153
10131001111242346
1138817294116a24
1212838a871212b6
135813475b39877
14244c6b802d082
15102298d666c16
hex772512b3666a

131001111242346 has 64 divisors (see below), whose sum is σ = 280250384768640. Its totient is φ = 40679813191680.

The previous prime is 131001111242327. The next prime is 131001111242347. The reversal of 131001111242346 is 643242111100131.

It is a happy number.

131001111242346 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1310011112423462 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131001111242347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7403731 + ... + 17799366.

It is an arithmetic number, because the mean of its divisors is an integer number (4378912262010).

Almost surely, 2131001111242346 is an apocalyptic number.

131001111242346 is an abundant number, since it is smaller than the sum of its proper divisors (149249273526294).

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

131001111242346 is a wasteful number, since it uses less digits than its factorization.

131001111242346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25203639.

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 131001111242346 its reverse (643242111100131), we get a palindrome (774243222342477).

The spelling of 131001111242346 in words is "one hundred thirty-one trillion, one billion, one hundred eleven million, two hundred forty-two thousand, three hundred forty-six".

Divisors: 1 2 3 6 17 34 51 102 131 262 389 393 778 786 1167 2227 2334 4454 6613 6681 13226 13362 19839 39678 50959 101918 152877 305754 866303 1732606 2598909 5197818 25203097 50406194 75609291 151218582 428452649 856905298 1285357947 2570715894 3301605707 6603211414 9804004733 9904817121 19608009466 19809634242 29412014199 56127297019 58824028398 112254594038 166668080461 168381891057 333336160922 336763782114 500004241383 1000008482766 1284324620023 2568649240046 3852973860069 7705947720138 21833518540391 43667037080782 65500555621173 131001111242346