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131101313202 = 23229833025927
BaseRepresentation
bin111101000011000111…
…1110100100010110010
3110112101200020202022200
41322012033310202302
54121443414010302
6140121020044030
712320545530006
oct1720617644262
9415350222280
10131101313202
1150666301032
12214a9693616
13c4940c5152
1464b986a706
1536248a881c
hex1e863f48b2

131101313202 has 48 divisors (see below), whose sum is σ = 297388203840. Its totient is φ = 41685156576.

The previous prime is 131101313197. The next prime is 131101313243. The reversal of 131101313202 is 202313101131.

131101313202 is a `hidden beast` number, since 1 + 311 + 0 + 1 + 31 + 320 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1469638 + ... + 1556289.

It is an arithmetic number, because the mean of its divisors is an integer number (6195587580).

Almost surely, 2131101313202 is an apocalyptic number.

131101313202 is an abundant number, since it is smaller than the sum of its proper divisors (166286890638).

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

131101313202 is a wasteful number, since it uses less digits than its factorization.

131101313202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026047 (or 3026044 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131101313202 its reverse (202313101131), we get a palindrome (333414414333).

The spelling of 131101313202 in words is "one hundred thirty-one billion, one hundred one million, three hundred thirteen thousand, two hundred two".

Divisors: 1 2 3 6 9 18 29 58 83 87 166 174 249 261 498 522 747 1494 2407 4814 7221 14442 21663 43326 3025927 6051854 9077781 18155562 27233343 54466686 87751883 175503766 251151941 263255649 502303882 526511298 753455823 789766947 1506911646 1579533894 2260367469 4520734938 7283406289 14566812578 21850218867 43700437734 65550656601 131101313202