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31113121000031 = 737473597119533
BaseRepresentation
bin1110001001100000101101…
…00001100110101001011111
311002011101101220020101111222
413010300112201212221133
513034224132434000111
6150101100453203555
76360564066646160
oct704602641465137
9132141356211458
1031113121000031
119a06000761624
1235a5b213305bb
131448c546a3365
14797c512b9767
1538e4cc62d7db
hex1c4c16866a5f

31113121000031 has 32 divisors (see below), whose sum is σ = 37399766446080. Its totient is φ = 25324801842816.

The previous prime is 31113120999977. The next prime is 31113121000043. The reversal of 31113121000031 is 13000012131113.

It is not a de Polignac number, because 31113121000031 - 26 = 31113120999967 is a prime.

It is a super-2 number, since 2×311131210000312 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31113120999973 and 31113121000009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31113121020031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 810341 + ... + 7929873.

It is an arithmetic number, because the mean of its divisors is an integer number (1168742701440).

Almost surely, 231113121000031 is an apocalyptic number.

31113121000031 is a deficient number, since it is larger than the sum of its proper divisors (6286645446049).

31113121000031 is a wasteful number, since it uses less digits than its factorization.

31113121000031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7119983.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 31113121000031 its reverse (13000012131113), we get a palindrome (44113133131144).

The spelling of 31113121000031 in words is "thirty-one trillion, one hundred thirteen billion, one hundred twenty-one million, thirty-one", and thus it is an aban number.

Divisors: 1 7 37 47 259 329 359 1739 2513 12173 13283 16873 92981 118111 624301 4370107 7119533 49836731 263422721 334618051 1843959047 2342326357 2555912347 12380867887 17891386429 86666075209 94568756839 120127880309 661981297873 840895162163 4444731571433 31113121000031