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131213333322 = 2333783791233
BaseRepresentation
bin111101000110011101…
…1001001001101001010
3110112200111000222001000
41322030323021031022
54122211103131242
6140140101035430
712323405634201
oct1721473111512
9415614028030
10131213333322
1150713562445
122151b0b5b76
13c4b1386b46
1464ca6aa238
15362e634a4c
hex1e8cec934a

131213333322 has 64 divisors (see below), whose sum is σ = 303074271360. Its totient is φ = 42042903552.

The previous prime is 131213333299. The next prime is 131213333327. The reversal of 131213333322 is 223333312131.

131213333322 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 1 + 3 + 333 + 322 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (131213333327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 229783 + ... + 561450.

It is an arithmetic number, because the mean of its divisors is an integer number (4735535490).

Almost surely, 2131213333322 is an apocalyptic number.

131213333322 is an abundant number, since it is smaller than the sum of its proper divisors (171860938038).

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

131213333322 is a wasteful number, since it uses less digits than its factorization.

131213333322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791364 (or 791358 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 131213333322 its reverse (223333312131), we get a palindrome (354546645453).

The spelling of 131213333322 in words is "one hundred thirty-one billion, two hundred thirteen million, three hundred thirty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 83 111 166 222 249 333 498 666 747 999 1494 1998 2241 3071 4482 6142 9213 18426 27639 55278 82917 165834 791233 1582466 2373699 4747398 7121097 14242194 21363291 29275621 42726582 58551242 65672339 87826863 131344678 175653726 197017017 263480589 394034034 526961178 591051051 790441767 1182102102 1580883534 1773153153 2429876543 3546306306 4859753086 7289629629 14579259258 21868888887 43737777774 65606666661 131213333322