Search a number
-
+
3321712106430 = 2351719353971099
BaseRepresentation
bin110000010101100101011…
…110000101101110111110
3102202112220211100120221020
4300111211132011232332
5413410331244401210
611021550134245010
7461662060020324
oct60254536055676
912675824316836
103321712106430
111070803983993
1245792a7b6766
131b130b961263
14b6ab3877d14
155b613114770
hex30565785bbe

3321712106430 has 128 divisors (see below), whose sum is σ = 8910502848000. Its totient is φ = 787568246784.

The previous prime is 3321712106407. The next prime is 3321712106441. The reversal of 3321712106430 is 346012171233.

It is a happy number.

It is a super-2 number, since 2×33217121064302 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3321712106391 and 3321712106400.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2935021 + ... + 3906119.

It is an arithmetic number, because the mean of its divisors is an integer number (69613303500).

Almost surely, 23321712106430 is an apocalyptic number.

3321712106430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3321712106430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4455251424000).

3321712106430 is an abundant number, since it is smaller than the sum of its proper divisors (5588790741570).

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

3321712106430 is a wasteful number, since it uses less digits than its factorization.

3321712106430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971498.

The product of its (nonzero) digits is 18144, while the sum is 33.

Adding to 3321712106430 its reverse (346012171233), we get a palindrome (3667724277663).

The spelling of 3321712106430 in words is "three trillion, three hundred twenty-one billion, seven hundred twelve million, one hundred six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 51 57 85 95 102 114 170 190 255 285 323 353 510 570 646 706 969 1059 1615 1765 1938 2118 3230 3530 4845 5295 6001 6707 9690 10590 12002 13414 18003 20121 30005 33535 36006 40242 60010 67070 90015 100605 114019 180030 201210 228038 342057 570095 684114 971099 1140190 1710285 1942198 2913297 3420570 4855495 5826594 9710990 14566485 16508683 18450881 29132970 33017366 36901762 49526049 55352643 82543415 92254405 99052098 110705286 165086830 184508810 247630245 276763215 313664977 342797947 495260490 553526430 627329954 685595894 940994931 1028393841 1568324885 1713989735 1881989862 2056787682 3136649770 3427979470 4704974655 5141969205 5827565099 6513160993 9409949310 10283938410 11655130198 13026321986 17482695297 19539482979 29137825495 32565804965 34965390594 39078965958 58275650990 65131609930 87413476485 97697414895 110723736881 174826952970 195394829790 221447473762 332171210643 553618684405 664342421286 1107237368810 1660856053215 3321712106430