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131321102514 = 23783166922571
BaseRepresentation
bin111101001001101011…
…0010000000010110010
3110112221222211012120120
41322103112100002302
54122421200240024
6140154510551110
712326154645120
oct1722326200262
9415858735516
10131321102514
115076937aa98
122154b208496
13c4ca7ba9b4
1464dab20910
153638d21479
hex1e935900b2

131321102514 has 64 divisors (see below), whose sum is σ = 303974415360. Its totient is φ = 37044411840.

The previous prime is 131321102489. The next prime is 131321102543. The reversal of 131321102514 is 415201123131.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5806849 + ... + 5829419.

It is an arithmetic number, because the mean of its divisors is an integer number (4749600240).

Almost surely, 2131321102514 is an apocalyptic number.

131321102514 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131321102514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151987207680).

131321102514 is an abundant number, since it is smaller than the sum of its proper divisors (172653312846).

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

131321102514 is a wasteful number, since it uses less digits than its factorization.

131321102514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24335.

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 131321102514 its reverse (415201123131), we get a palindrome (546522225645).

The spelling of 131321102514 in words is "one hundred thirty-one billion, three hundred twenty-one million, one hundred two thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 83 166 249 498 581 1162 1669 1743 3338 3486 5007 10014 11683 22571 23366 35049 45142 67713 70098 135426 138527 157997 277054 315994 415581 473991 831162 947982 969689 1873393 1939378 2909067 3746786 5620179 5818134 11240358 13113751 26227502 37670999 39341253 75341998 78682506 113012997 226025994 263696993 527393986 791090979 1582181958 3126692917 6253385834 9380078751 18760157502 21886850419 43773700838 65660551257 131321102514