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103230230321322 = 232134119753544721
BaseRepresentation
bin10111011110001100101001…
…001101010101100010101010
3111112111201021020112221001200
4113132030221031111202222
5102012311002430240242
61003315151345025030
730513065224634046
oct2736145115254252
9445451236487050
10103230230321322
112a98a77089a985
12b6b2863325176
13457a751c9c6c0
141b6c526a6b026
15be03c640a04c
hex5de3293558aa

103230230321322 has 96 divisors (see below), whose sum is σ = 246758373113616. Its totient is φ = 30986811187200.

The previous prime is 103230230321291. The next prime is 103230230321353. The reversal of 103230230321322 is 223123032032301.

103230230321322 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 30 + 2 + 303 + 2 + 1 + 322 = 666.

It is an interprime number because it is at equal distance from previous prime (103230230321291) and next prime (103230230321353).

It can be written as a sum of positive squares in 8 ways, for example, as 24939746348841 + 78290483972481 = 4993971^2 + 8848191^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189237922 + ... + 189782642.

Almost surely, 2103230230321322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103230230321322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123379186556808).

103230230321322 is an abundant number, since it is smaller than the sum of its proper divisors (143528142792294).

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

103230230321322 is a wasteful number, since it uses less digits than its factorization.

103230230321322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564536 (or 564533 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 103230230321322 its reverse (223123032032301), we get a palindrome (326353262353623).

The spelling of 103230230321322 in words is "one hundred three trillion, two hundred thirty billion, two hundred thirty million, three hundred twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 234 246 369 533 738 1066 1599 3198 4797 9594 19753 39506 59259 118518 177777 256789 355554 513578 544721 770367 809873 1089442 1540734 1619746 1634163 2311101 2429619 3268326 4622202 4859238 4902489 7081373 7288857 9804978 10528349 14162746 14577714 21056698 21244119 22333561 31585047 42488238 44667122 63170094 63732357 67000683 94755141 127464714 134001366 189510282 201002049 290336293 402004098 580672586 871008879 1742017758 2613026637 5226053274 10759873913 21519747826 32279621739 64559243478 96838865217 139878360869 193677730434 279756721738 419635082607 441154830433 839270165214 882309660866 1258905247821 1323464491299 2517810495642 2646928982598 3970393473897 5735012795629 7940786947794 11470025591258 17205038386887 34410076773774 51615115160661 103230230321322