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103034002223142 = 23297487172370327
BaseRepresentation
bin10111011011010101111001…
…000110100011000000100110
3111111210221202202202201010200
4113123111321012203000212
5102001102114032120032
61003045100035531330
730462650424421254
oct2733257106430046
9444727682681120
10103034002223142
112a914525189411
12b68081aa59b46
1345650ac25a4c3
141b62c2d8c55d4
15bda23e1a147c
hex5db5791a3026

103034002223142 has 96 divisors (see below), whose sum is σ = 226139294664192. Its totient is φ = 33900633672192.

The previous prime is 103034002223063. The next prime is 103034002223143. The reversal of 103034002223142 is 241322200430301.

103034002223142 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 3 + 400 + 22 + 231 + 4 + 2 = 666.

It is a super-2 number, since 2×1030340022231422 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103034002223143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1465035183 + ... + 1465105509.

It is an arithmetic number, because the mean of its divisors is an integer number (2355617652752).

Almost surely, 2103034002223142 is an apocalyptic number.

103034002223142 is an abundant number, since it is smaller than the sum of its proper divisors (123105292441050).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103034002223142 is a wasteful number, since it uses less digits than its factorization.

103034002223142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72642 (or 72639 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 103034002223142 its reverse (241322200430301), we get a palindrome (344356202653443).

The spelling of 103034002223142 in words is "one hundred three trillion, thirty-four billion, two million, two hundred twenty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 97 194 291 487 582 873 974 1461 1723 1746 2922 3446 4383 5169 8766 10338 15507 31014 47239 70327 94478 140654 141717 167131 210981 283434 334262 421962 425151 501393 632943 839101 850302 1002786 1265886 1504179 1678202 2517303 3008358 5034606 6821719 7551909 13643438 15103818 20465157 34249249 40930314 61395471 68498498 81392797 102747747 121173421 122790942 162785594 205495494 242346842 244178391 308243241 363520263 488356782 616486482 727040526 732535173 1090560789 1465070346 2181121578 3322177153 6644354306 9966531459 11753821837 19933062918 23507643674 29899594377 35261465511 59011456027 59799188754 70522931022 105784396533 118022912054 177034368081 211568793066 354068736162 531103104243 1062206208486 5724111234619 11448222469238 17172333703857 34344667407714 51517001111571 103034002223142