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2113331031 = 3271961103281
BaseRepresentation
bin111110111110110…
…1101111101010111
312110021121100011200
41331331231331113
513312003043111
6545412003543
7103241005650
oct17575557527
95407540150
102113331031
11994a13979
124ab9005b3
13278aa7946
1416095a527
15c57ec256
hex7df6df57

2113331031 has 96 divisors (see below), whose sum is σ = 3782138880. Its totient is φ = 1110412800.

The previous prime is 2113331029. The next prime is 2113331111. The reversal of 2113331031 is 1301333112.

It is a happy number.

It is not a de Polignac number, because 2113331031 - 21 = 2113331029 is a prime.

It is a super-2 number, since 2×21133310312 = 8932336093175045922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2113330995 and 2113331013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113231031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7520611 + ... + 7520891.

It is an arithmetic number, because the mean of its divisors is an integer number (39397280).

Almost surely, 22113331031 is an apocalyptic number.

2113331031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2113331031 is a deficient number, since it is larger than the sum of its proper divisors (1668807849).

2113331031 is a wasteful number, since it uses less digits than its factorization.

2113331031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 2113331031 is about 45970.9803136718. The cubic root of 2113331031 is about 1283.2832036564.

Adding to 2113331031 its reverse (1301333112), we get a palindrome (3414664143).

The spelling of 2113331031 in words is "two billion, one hundred thirteen million, three hundred thirty-one thousand, thirty-one".

Divisors: 1 3 7 9 19 21 57 61 63 103 133 171 183 281 309 399 427 549 721 843 927 1159 1197 1281 1957 1967 2163 2529 3477 3843 5339 5871 5901 6283 6489 8113 10431 13699 16017 17141 17613 17703 18849 24339 28943 37373 41097 43981 48051 51423 56547 73017 86829 112119 119377 119987 123291 131943 154269 202601 260487 325679 336357 358131 359961 395829 549917 607803 835639 977037 1074393 1079883 1649751 1765523 1823409 2279753 2506917 2931111 3849419 4949253 5296569 6839259 7520751 11548257 12358661 15889707 20517777 33544937 34644771 37075983 100634811 111227949 234814559 301904433 704443677 2113331031