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31023123301001 = 1324212957147457
BaseRepresentation
bin1110000110111001000100…
…01111101000001010001001
311001211210002210200120201202
413003130202033220022021
513031240324031113001
6145551454234153545
76351226626065036
oct703344217501211
9131753083616652
1031023123301001
119980918372267
1235905a52828b5
1314406111a8500
1479375481a38d
1538beb15a896b
hex1c37223e8289

31023123301001 has 24 divisors (see below), whose sum is σ = 33684495680664. Its totient is φ = 28558853406720.

The previous prime is 31023123300991. The next prime is 31023123301013. The reversal of 31023123301001 is 10010332132013.

It can be written as a sum of positive squares in 12 ways, for example, as 19674148158025 + 11348975142976 = 4435555^2 + 3368824^2 .

It is a de Polignac number, because none of the positive numbers 2k-31023123301001 is a prime.

It is a super-2 number, since 2×310231233010012 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31023123301091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210313865 + ... + 210461321.

It is an arithmetic number, because the mean of its divisors is an integer number (1403520653361).

Almost surely, 231023123301001 is an apocalyptic number.

It is an amenable number.

31023123301001 is a deficient number, since it is larger than the sum of its proper divisors (2661372379663).

31023123301001 is a wasteful number, since it uses less digits than its factorization.

31023123301001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150861 (or 150848 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 31023123301001 its reverse (10010332132013), we get a palindrome (41033455433014).

The spelling of 31023123301001 in words is "thirty-one trillion, twenty-three billion, one hundred twenty-three million, three hundred one thousand, one".

Divisors: 1 13 169 421 2957 5473 38441 71149 147457 499733 1244897 1916941 16183661 24920233 62079397 210387593 436030349 807032161 5668394537 10491418093 73689128981 183568776929 2386394100077 31023123301001