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131000041213002 = 23213267363987797
BaseRepresentation
bin11101110010010011010010…
…111011000000110001001010
3122011211111000002222112212100
4131302103102323000301022
5114132301041022304002
61142340331011454230
736410304066600153
oct3562232273006112
9564744002875770
10131000041213002
1138816895112055
12128388288b7376
135813335250700
14244c615c9292a
15102292975111c
hex7724d2ec0c4a

131000041213002 has 72 divisors (see below), whose sum is σ = 307802936255724. Its totient is φ = 40247811781632.

The previous prime is 131000041212967. The next prime is 131000041213057. The reversal of 131000041213002 is 200312140000131.

It can be written as a sum of positive squares in 6 ways, for example, as 4256388081 + 130995784824921 = 65241^2 + 11445339^2 .

It is a super-2 number, since 2×1310000412130022 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29946633 + ... + 34041164.

Almost surely, 2131000041213002 is an apocalyptic number.

131000041213002 is an abundant number, since it is smaller than the sum of its proper divisors (176802895042722).

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

131000041213002 is a wasteful number, since it uses less digits than its factorization.

131000041213002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63988504 (or 63988488 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131000041213002 its reverse (200312140000131), we get a palindrome (331312181213133).

The spelling of 131000041213002 in words is "one hundred thirty-one trillion, forty-one million, two hundred thirteen thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 673 1014 1346 1521 2019 3042 4038 6057 8749 12114 17498 26247 52494 78741 113737 157482 227474 341211 682422 1023633 2047266 63987797 127975594 191963391 383926782 575890173 831841361 1151780346 1663682722 2495524083 4991048166 7486572249 10813937693 14973144498 21627875386 32441813079 43063787381 64883626158 86127574762 97325439237 129191362143 194650878474 258382724286 387574086429 559829235953 775148172858 1119658471906 1679487707859 3358975415718 5038463123577 7277780067389 10076926247154 14555560134778 21833340202167 43666680404334 65500020606501 131000041213002