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101211323031 = 32713373339977
BaseRepresentation
bin101111001000010101…
…0100011101010010111
3100200020120221221001200
41132100222203222113
53124240044314111
6114255033523543
710212053023350
oct1362052435227
9320216857050
10101211323031
1139a18176015
12177475735b3
13970c769a30
144c81c9ad27
152975760256
hex1790aa3a97

101211323031 has 48 divisors (see below), whose sum is σ = 184794302784. Its totient is φ = 51943306752.

The previous prime is 101211323011. The next prime is 101211323077. The reversal of 101211323031 is 130323112101.

101211323031 is a `hidden beast` number, since 101 + 211 + 323 + 0 + 31 = 666.

It is not a de Polignac number, because 101211323031 - 25 = 101211322999 is a prime.

It is a super-2 number, since 2×1012113230312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101211322995 and 101211323013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211323011) 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 47 ways as a sum of consecutive naturals, for example, 1639686 + ... + 1700291.

It is an arithmetic number, because the mean of its divisors is an integer number (3849881308).

Almost surely, 2101211323031 is an apocalyptic number.

101211323031 is a deficient number, since it is larger than the sum of its proper divisors (83582979753).

101211323031 is a wasteful number, since it uses less digits than its factorization.

101211323031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340040 (or 3340037 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101211323031 its reverse (130323112101), we get a palindrome (231534435132).

The spelling of 101211323031 in words is "one hundred one billion, two hundred eleven million, three hundred twenty-three thousand, thirty-one".

Divisors: 1 3 7 9 13 21 37 39 63 91 111 117 259 273 333 481 777 819 1443 2331 3367 4329 10101 30303 3339977 10019931 23379839 30059793 43419701 70139517 123579149 130259103 210418551 303937907 370737447 390777309 865054043 911813721 1112212341 1606528937 2595162129 2735441163 4819586811 7785486387 11245702559 14458760433 33737107677 101211323031