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131030200422 = 233111911609977
BaseRepresentation
bin111101000001000000…
…0100011000001100110
3110112012201102211221000
41322002000203001212
54121322212403142
6140105555534130
712316023220062
oct1720200430146
9415181384830
10131030200422
115062a14aa40
12214898ba346
13c482456c94
1464b0238aa2
15361d50d14c
hex1e82023066

131030200422 has 64 divisors (see below), whose sum is σ = 334367366400. Its totient is φ = 37616322240.

The previous prime is 131030200397. The next prime is 131030200481. The reversal of 131030200422 is 224002030131.

131030200422 is a `hidden beast` number, since 1 + 3 + 10 + 30 + 200 + 422 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 131030200395 and 131030200404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5793703 + ... + 5816274.

It is an arithmetic number, because the mean of its divisors is an integer number (5224490100).

Almost surely, 2131030200422 is an apocalyptic number.

131030200422 is an abundant number, since it is smaller than the sum of its proper divisors (203337165978).

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

131030200422 is a wasteful number, since it uses less digits than its factorization.

131030200422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11610018 (or 11610012 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 131030200422 its reverse (224002030131), we get a palindrome (355032230553).

The spelling of 131030200422 in words is "one hundred thirty-one billion, thirty million, two hundred thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 198 209 297 342 418 513 594 627 1026 1254 1881 3762 5643 11286 11609977 23219954 34829931 69659862 104489793 127709747 208979586 220589563 255419494 313469379 383129241 441179126 626938758 661768689 766258482 1149387723 1323537378 1985306067 2298775446 2426485193 3448163169 3970612134 4852970386 5955918201 6896326338 7279455579 11911836402 14558911158 21838366737 43676733474 65515100211 131030200422