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131031022304214 = 23331692234934261
BaseRepresentation
bin11101110010110000001001…
…100010011111101111010110
3122011221102222020101001101000
4131302300021202133233112
5114133303013202213324
61142402453132044130
736412451611534224
oct3562601142375726
9564842866331330
10131031022304214
1138828a4313446a
1212842834303646
135816231962146
14244dd14725b14
15102363e5739c9
hex772c0989fbd6

131031022304214 has 64 divisors (see below), whose sum is σ = 291293468280000. Its totient is φ = 43659996779520.

The previous prime is 131031022304209. The next prime is 131031022304219. The reversal of 131031022304214 is 412403220130131.

131031022304214 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 3 + 1 + 0 + 2 + 230 + 421 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (131031022304209) and next prime (131031022304219).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131031022304219) 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, 3824477844 + ... + 3824512104.

It is an arithmetic number, because the mean of its divisors is an integer number (4551460441875).

Almost surely, 2131031022304214 is an apocalyptic number.

131031022304214 is an abundant number, since it is smaller than the sum of its proper divisors (160262445975786).

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

131031022304214 is a wasteful number, since it uses less digits than its factorization.

131031022304214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59790 (or 59784 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 131031022304214 its reverse (412403220130131), we get a palindrome (543434242434345).

The spelling of 131031022304214 in words is "one hundred thirty-one trillion, thirty-one billion, twenty-two million, three hundred four thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 3169 6338 9507 19014 22349 28521 34261 44698 57042 67047 68522 85563 102783 134094 171126 201141 205566 308349 402282 603423 616698 925047 1206846 1850094 70823981 108573109 141647962 212471943 217146218 325719327 424943886 637415829 651438654 765699089 977157981 1274831658 1531398178 1912247487 1954315962 2297097267 2931473943 3824494974 4594194534 5862947886 6891291801 13782583602 20673875403 41347750806 2426500413041 4853000826082 7279501239123 14559002478246 21838503717369 43677007434738 65515511152107 131031022304214