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103030103022 = 237114127120071
BaseRepresentation
bin101111111110100010…
…0101001101111101110
3100211221100022112011120
41133331010221233232
53142001201244042
6115155324401410
710305116266050
oct1377504515756
9324840275146
10103030103022
113a770897380
1217b746a6266
13993c503b02
144db56618d0
152a30277dec
hex17fd129bee

103030103022 has 128 divisors (see below), whose sum is σ = 264156512256. Its totient is φ = 26010720000.

The previous prime is 103030102969. The next prime is 103030103101. The reversal of 103030103022 is 220301030301.

It is a junction number, because it is equal to n+sod(n) for n = 103030102992 and 103030103010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5123247 + ... + 5143317.

It is an arithmetic number, because the mean of its divisors is an integer number (2063722752).

Almost surely, 2103030103022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103030103022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132078256128).

103030103022 is an abundant number, since it is smaller than the sum of its proper divisors (161126409234).

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

103030103022 is a wasteful number, since it uses less digits than its factorization.

103030103022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20406.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 103030103022 its reverse (220301030301), we get a palindrome (323331133323).

The spelling of 103030103022 in words is "one hundred three billion, thirty million, one hundred three thousand, twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 41 42 66 77 82 123 154 231 246 271 287 451 462 542 574 813 861 902 1353 1626 1722 1897 2706 2981 3157 3794 5691 5962 6314 8943 9471 11111 11382 17886 18942 20071 20867 22222 33333 40142 41734 60213 62601 66666 77777 120426 122221 125202 140497 155554 220781 233331 244442 280994 366663 421491 441562 466662 662343 733326 822911 842982 855547 1324686 1545467 1645822 1711094 2468733 2566641 3090934 4636401 4937466 5133282 5439241 5760377 9052021 9272802 10878482 11520754 16317723 17281131 18104042 27156063 32635446 34562262 38074687 54312126 59831651 63364147 76149374 114224061 119663302 126728294 179494953 190092441 223008881 228448122 358989906 380184882 418821557 446017762 669026643 837643114 1256464671 1338053286 1561062167 2453097691 2512929342 3122124334 4683186501 4906195382 7359293073 9366373002 14718586146 17171683837 34343367674 51515051511 103030103022