Search a number
-
+
10330130322120 = 2335738332109071
BaseRepresentation
bin1001011001010010101110…
…1111111001001011001000
31100120112212112200020021210
42112110223233321023020
52323222101330301440
633545332451333120
72114220154650450
oct226245357711310
940515775606253
1010330130322120
113322a90296284
1211aa06b8b11a0
1359c18634b4ab
14279da3b20d60
1512da9c8bea80
hex9652bbf92c8

10330130322120 has 128 divisors (see below), whose sum is σ = 35510064906240. Its totient is φ = 2355007630080.

The previous prime is 10330130322101. The next prime is 10330130322131. The reversal of 10330130322120 is 2122303103301.

It is a super-2 number, since 2×103301303221202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 15732816 + ... + 16376255.

It is an arithmetic number, because the mean of its divisors is an integer number (277422382080).

Almost surely, 210330130322120 is an apocalyptic number.

10330130322120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10330130322120 is an abundant number, since it is smaller than the sum of its proper divisors (25179934584120).

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

10330130322120 is a wasteful number, since it uses less digits than its factorization.

10330130322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32109475 (or 32109471 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10330130322120 its reverse (2122303103301), we get a palindrome (12452433425421).

The spelling of 10330130322120 in words is "ten trillion, three hundred thirty billion, one hundred thirty million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 383 420 766 840 1149 1532 1915 2298 2681 3064 3830 4596 5362 5745 7660 8043 9192 10724 11490 13405 15320 16086 21448 22980 26810 32172 40215 45960 53620 64344 80430 107240 160860 321720 32109071 64218142 96327213 128436284 160545355 192654426 224763497 256872568 321090710 385308852 449526994 481636065 642181420 674290491 770617704 899053988 963272130 1123817485 1284362840 1348580982 1798107976 1926544260 2247634970 2697161964 3371452455 3853088520 4495269940 5394323928 6742904910 8990539880 12297774193 13485809820 24595548386 26971619640 36893322579 49191096772 61488870965 73786645158 86084419351 98382193544 122977741930 147573290316 172168838702 184466612895 245955483860 258253258053 295146580632 344337677404 368933225790 430422096755 491910967720 516506516106 688675354808 737866451580 860844193510 1033013032212 1291266290265 1475732903160 1721688387020 2066026064424 2582532580530 3443376774040 5165065161060 10330130322120