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103130031303 = 361343972609
BaseRepresentation
bin110000000001100000…
…1110110010011000111
3100212012022100102000000
41200003001312103013
53142202242000203
6115213254252343
710310441542125
oct1400301662307
9325168312000
10103130031303
113a812239a32
1217ba20570b3
139957120a80
144dc4a34915
152a38e164a3
hex18030764c7

103130031303 has 112 divisors (see below), whose sum is σ = 172213604640. Its totient is φ = 61326139392.

The previous prime is 103130031283. The next prime is 103130031317. The reversal of 103130031303 is 303130031301.

103130031303 is a `hidden beast` number, since 1 + 0 + 31 + 300 + 31 + 303 = 666.

It is not a de Polignac number, because 103130031303 - 25 = 103130031271 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103130031343) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 39527263 + ... + 39529871.

It is an arithmetic number, because the mean of its divisors is an integer number (1537621470).

Almost surely, 2103130031303 is an apocalyptic number.

103130031303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

103130031303 is a deficient number, since it is larger than the sum of its proper divisors (69083573337).

103130031303 is an equidigital number, since it uses as much as digits as its factorization.

103130031303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 103130031303 its reverse (303130031301), we get a palindrome (406260062604).

The spelling of 103130031303 in words is "one hundred three billion, one hundred thirty million, thirty-one thousand, three hundred three".

Divisors: 1 3 9 13 27 39 43 81 97 117 129 243 291 351 387 559 729 873 1053 1161 1261 1677 2609 2619 3159 3483 3783 4171 5031 7827 7857 9477 10449 11349 12513 15093 23481 23571 31347 33917 34047 37539 45279 54223 70443 70713 101751 102141 112187 112617 135837 162669 211329 253073 305253 306423 336561 337851 407511 488007 633987 759219 915759 919269 1009683 1013553 1458431 1464021 1901961 2277657 2747277 3029049 3040659 3289949 4375293 4392063 6832971 8241831 9087147 9869847 10882139 13125879 13176189 20498913 24725493 27261441 29609541 32646417 39377637 39528567 61496739 81784323 88828623 97939251 118132911 141467807 184490217 266485869 293817753 354398733 424403421 799457607 881453259 1063196199 1273210263 2398372821 2644359777 3819630789 7933079331 11458892367 34376677101 103130031303