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131243331336 = 233132295713217
BaseRepresentation
bin111101000111010110…
…1100100111100001000
3110112202120111000120120
41322032231210330020
54122241243100321
6140143052023240
712324221624025
oct1721655447410
9415676430516
10131243331336
1150729491397
1221529161b20
13c4b765ac50
1464d067854c
1536320acec6
hex1e8eb64f08

131243331336 has 128 divisors (see below), whose sum is σ = 355622467200. Its totient is φ = 40123330560.

The previous prime is 131243331311. The next prime is 131243331343. The reversal of 131243331336 is 633133342131.

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

It is a junction number, because it is equal to n+sod(n) for n = 131243331297 and 131243331306.

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 31 ways as a sum of consecutive naturals, for example, 40795200 + ... + 40798416.

It is an arithmetic number, because the mean of its divisors is an integer number (2778300525).

Almost surely, 2131243331336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131243331336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177811233600).

131243331336 is an abundant number, since it is smaller than the sum of its proper divisors (224379135864).

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

131243331336 is a wasteful number, since it uses less digits than its factorization.

131243331336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4039 (or 4035 counting only the distinct ones).

The product of its digits is 34992, while the sum is 33.

Adding to 131243331336 its reverse (633133342131), we get a palindrome (764376673467).

The spelling of 131243331336 in words is "one hundred thirty-one billion, two hundred forty-three million, three hundred thirty-one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 229 312 458 571 687 916 1142 1374 1713 1832 2284 2748 2977 3217 3426 4568 5496 5954 6434 6852 7423 8931 9651 11908 12868 13704 14846 17862 19302 22269 23816 25736 29692 35724 38604 41821 44538 59384 71448 77208 83642 89076 125463 130759 167284 178152 250926 261518 334568 392277 501852 523036 736693 784554 1003704 1046072 1473386 1569108 1699867 1836907 2210079 2946772 3138216 3399734 3673814 4420158 5099601 5510721 5893544 6799468 7347628 8840316 9577009 10199202 11021442 13598936 14695256 17680632 19154018 20398404 22042884 23879791 28731027 38308036 40796808 44085768 47759582 57462054 71639373 76616072 95519164 114924108 143278746 191038328 229848216 286557492 420651703 573114984 841303406 1261955109 1682606812 2523910218 3365213624 5047820436 5468472139 10095640872 10936944278 16405416417 21873888556 32810832834 43747777112 65621665668 131243331336