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101311244331 = 31126121372141
BaseRepresentation
bin101111001011010011…
…1101110100000101011
3100200111112222110022120
41132112213232200223
53124441134304311
6114313003322323
710214405240163
oct1362647564053
9320445873276
10101311244331
1139a69613400
1217774b203a3
13972738376b
144c9126b5a3
15297e3eb706
hex17969ee82b

101311244331 has 48 divisors (see below), whose sum is σ = 151053394464. Its totient is φ = 60337728000.

The previous prime is 101311244329. The next prime is 101311244357. The reversal of 101311244331 is 133442113101.

It is a happy number.

It is not a de Polignac number, because 101311244331 - 21 = 101311244329 is a prime.

It is a super-2 number, since 2×1013112443312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101311244131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47318521 + ... + 47320661.

It is an arithmetic number, because the mean of its divisors is an integer number (3146945718).

Almost surely, 2101311244331 is an apocalyptic number.

101311244331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101311244331 is a deficient number, since it is larger than the sum of its proper divisors (49742150133).

101311244331 is a wasteful number, since it uses less digits than its factorization.

101311244331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4364 (or 4353 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 101311244331 its reverse (133442113101), we get a palindrome (234753357432).

The spelling of 101311244331 in words is "one hundred one billion, three hundred eleven million, two hundred forty-four thousand, three hundred thirty-one".

Divisors: 1 3 11 33 61 121 183 363 671 2013 2137 2141 6411 6423 7381 22143 23507 23551 70521 70653 130357 130601 258577 259061 391071 391803 775731 777183 1433927 1436611 4301781 4309833 4575317 13725951 15773197 15802721 47319591 47408163 50328487 150985461 279094337 553613357 837283011 1660840071 3070037707 9210113121 33770414777 101311244331