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131000332211301 = 379758363926207
BaseRepresentation
bin11101110010010011100100…
…010001000101010001100101
3122011211111202101112210111010
4131302103210101011101211
5114132302140021230201
61142340415524532433
736410314232205540
oct3562234421052145
9564744671483433
10131000332211301
1138816a243a8413
12128388aa251119
135813380619157
14244c6427a1857
151022945082bd6
hex7724e4445465

131000332211301 has 16 divisors (see below), whose sum is σ = 199621602607104. Its totient is φ = 74856564406704.

The previous prime is 131000332211297. The next prime is 131000332211339. The reversal of 131000332211301 is 103112233000131.

It is a happy number.

It is not a de Polignac number, because 131000332211301 - 22 = 131000332211297 is a prime.

It is a super-3 number, since 3×1310003322113013 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131000332211351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29913861 + ... + 34012346.

It is an arithmetic number, because the mean of its divisors is an integer number (12476350162944).

Almost surely, 2131000332211301 is an apocalyptic number.

It is an amenable number.

131000332211301 is a deficient number, since it is larger than the sum of its proper divisors (68621270395803).

131000332211301 is an equidigital number, since it uses as much as digits as its factorization.

131000332211301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64023800.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 131000332211301 its reverse (103112233000131), we get a palindrome (234112565211432).

The spelling of 131000332211301 in words is "one hundred thirty-one trillion, three hundred thirty-two million, two hundred eleven thousand, three hundred one".

Divisors: 1 3 7 21 97583 292749 683081 2049243 63926207 191778621 447483449 1342450347 6238111057681 18714333173043 43666777403767 131000332211301