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103133000031 = 3139308380221
BaseRepresentation
bin110000000001100110…
…1001011000101011111
3100212012111221020022220
41200003031023011133
53142204022000111
6115213442040423
710310506015245
oct1400315130537
9325174836286
10103133000031
113a813987426
1217ba3049113
139957920109
144dc51a8795
152a39300e06
hex180334b15f

103133000031 has 16 divisors (see below), whose sum is σ = 138546602880. Its totient is φ = 68237699040.

The previous prime is 103133000029. The next prime is 103133000051. The reversal of 103133000031 is 130000331301.

It is not a de Polignac number, because 103133000031 - 21 = 103133000029 is a prime.

It is a super-2 number, since 2×1031330000312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103133000021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1245501 + ... + 1325721.

It is an arithmetic number, because the mean of its divisors is an integer number (8659162680).

Almost surely, 2103133000031 is an apocalyptic number.

103133000031 is a deficient number, since it is larger than the sum of its proper divisors (35413602849).

103133000031 is a wasteful number, since it uses less digits than its factorization.

103133000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83446.

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 103133000031 its reverse (130000331301), we get a palindrome (233133331332).

The spelling of 103133000031 in words is "one hundred three billion, one hundred thirty-three million, thirty-one", and thus it is an aban number.

Divisors: 1 3 139 417 3083 9249 80221 240663 428537 1285611 11150719 33452157 247321343 741964029 34377666677 103133000031