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131168673570 = 235113659108631
BaseRepresentation
bin111101000101001000…
…0110001111100100010
3110112120101000000101010
41322022100301330202
54122113140023240
6140131423521350
712322324220634
oct1721220617442
9415511000333
10131168673570
11506a0329960
1221508159256
13c4a504b35c
1464c47a2a54
15362a762280
hex1e8a431f22

131168673570 has 64 divisors (see below), whose sum is σ = 343520455680. Its totient is φ = 31789483200.

The previous prime is 131168673547. The next prime is 131168673577. The reversal of 131168673570 is 75376861131.

It is a happy number.

It is a super-2 number, since 2×1311686735702 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131168673577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1153155 + ... + 1261785.

It is an arithmetic number, because the mean of its divisors is an integer number (5367507120).

Almost surely, 2131168673570 is an apocalyptic number.

131168673570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131168673570 is an abundant number, since it is smaller than the sum of its proper divisors (212351782110).

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

131168673570 is a wasteful number, since it uses less digits than its factorization.

131168673570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112311.

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 131168673570 in words is "one hundred thirty-one billion, one hundred sixty-eight million, six hundred seventy-three thousand, five hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 3659 7318 10977 18295 21954 36590 40249 54885 80498 108631 109770 120747 201245 217262 241494 325893 402490 543155 603735 651786 1086310 1194941 1207470 1629465 2389882 3258930 3584823 5974705 7169646 11949410 17924115 35848230 397480829 794961658 1192442487 1987404145 2384884974 3974808290 4372289119 5962212435 8744578238 11924424870 13116867357 21861445595 26233734714 43722891190 65584336785 131168673570