Search a number
-
+
3013223010330 = 2351361161978233
BaseRepresentation
bin101011110110010010000…
…101100101000000011010
3101200001122200200210120110
4223312102011211000122
5343332040042312310
610224131110305150
7430461321663441
oct53662205450032
911601580623513
103013223010330
11a6199a920095
12407b963581b6
1318b1b8184580
14a5bab113d58
15535aa547d20
hex2bd9216501a

3013223010330 has 128 divisors (see below), whose sum is σ = 7920685543680. Its totient is φ = 729097205760.

The previous prime is 3013223010311. The next prime is 3013223010337. The reversal of 3013223010330 is 330103223103.

It is a junction number, because it is equal to n+sod(n) for n = 3013223010297 and 3013223010306.

It is not an unprimeable number, because it can be changed into a prime (3013223010337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38476894 + ... + 38555126.

It is an arithmetic number, because the mean of its divisors is an integer number (61880355810).

Almost surely, 23013223010330 is an apocalyptic number.

3013223010330 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 3013223010330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3960342771840).

3013223010330 is an abundant number, since it is smaller than the sum of its proper divisors (4907462533350).

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

3013223010330 is a wasteful number, since it uses less digits than its factorization.

3013223010330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79936.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 3013223010330 its reverse (330103223103), we get a palindrome (3343326233433).

The spelling of 3013223010330 in words is "three trillion, thirteen billion, two hundred twenty-three million, ten thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 61 65 78 122 130 183 195 305 366 390 610 793 915 1586 1619 1830 2379 3238 3965 4758 4857 7930 8095 9714 11895 16190 21047 23790 24285 42094 48570 63141 78233 98759 105235 126282 156466 197518 210470 234699 296277 315705 391165 469398 493795 592554 631410 782330 987590 1017029 1173495 1283867 1481385 2034058 2346990 2567734 2962770 3051087 3851601 4772213 5085145 6102174 6419335 7703202 9544426 10170290 12838670 14316639 15255435 19258005 23861065 28633278 30510870 38516010 47722130 62038769 71583195 124077538 126659227 143166390 186116307 253318454 310193845 372232614 379977681 620387690 633296135 759955362 930581535 1266592270 1646569951 1861163070 1899888405 3293139902 3799776810 4939709853 7726212847 8232849755 9879419706 15452425694 16465699510 23178638541 24698549265 38631064235 46357277082 49397098530 77262128470 100440767011 115893192705 200881534022 231786385410 301322301033 502203835055 602644602066 1004407670110 1506611505165 3013223010330