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131000304323421 = 321331323411528061
BaseRepresentation
bin11101110010010011100010…
…100110101100101101011101
3122011211111200110001221111200
4131302103202212230231131
5114132302110401322141
61142340413051110113
736410313443155011
oct3562234246545535
9564744613057450
10131000304323421
1138816a0a68a885
12128388a0a42339
135813377903650
14244c63cbc2541
1510229428c4ab6
hex7724e29acb5d

131000304323421 has 48 divisors (see below), whose sum is σ = 204516759366192. Its totient is φ = 80323635225600.

The previous prime is 131000304323417. The next prime is 131000304323431. The reversal of 131000304323421 is 124323403000131.

It is a happy number.

131000304323421 is a `hidden beast` number, since 1 + 3 + 10 + 0 + 0 + 304 + 3 + 2 + 342 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 42047300703321 + 88953003620100 = 6484389^2 + 9431490^2 .

It is not a de Polignac number, because 131000304323421 - 22 = 131000304323417 is a prime.

It is a super-2 number, since 2×1310003043234212 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131000304323431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84965731 + ... + 86493791.

It is an arithmetic number, because the mean of its divisors is an integer number (4260765820129).

Almost surely, 2131000304323421 is an apocalyptic number.

It is an amenable number.

131000304323421 is a deficient number, since it is larger than the sum of its proper divisors (73516455042771).

131000304323421 is a wasteful number, since it uses less digits than its factorization.

131000304323421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530734 (or 1530731 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 131000304323421 its reverse (124323403000131), we get a palindrome (255323707323552).

The spelling of 131000304323421 in words is "one hundred thirty-one trillion, three hundred four million, three hundred twenty-three thousand, four hundred twenty-one".

Divisors: 1 3 9 13 39 117 313 939 2341 2817 4069 7023 12207 21069 30433 36621 91299 273897 732733 1528061 2198199 4584183 6594597 9525529 13752549 19864793 28576587 59594379 85729761 178783137 478283093 1434849279 3577190801 4304547837 6217680209 10731572403 18653040627 32194717209 46503480413 55959121881 139510441239 418531323717 1119660720713 3358982162139 10076946486417 14555589369269 43666768107807 131000304323421