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10303233120 = 2532537193379
BaseRepresentation
bin10011001100001111…
…01101110001100000
3222121001100110202200
421212013231301200
5132100111424440
64422214013200
7513216015345
oct114607556140
928531313680
1010303233120
1144079a75a4
121bb6647200
13c8277aa5b
146da5387cc
15404809c30
hex2661edc60

10303233120 has 144 divisors (see below), whose sum is σ = 36110234160. Its totient is φ = 2673257472.

The previous prime is 10303233103. The next prime is 10303233131. The reversal of 10303233120 is 2133230301.

10303233120 is a `hidden beast` number, since 1 + 0 + 30 + 323 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×103032331202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10303233093 and 10303233102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43410 + ... + 149969.

It is an arithmetic number, because the mean of its divisors is an integer number (250765515).

Almost surely, 210303233120 is an apocalyptic number.

10303233120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10303233120 is an abundant number, since it is smaller than the sum of its proper divisors (25807001040).

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

10303233120 is a wasteful number, since it uses less digits than its factorization.

10303233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193437 (or 193426 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10303233120 its reverse (2133230301), we get a palindrome (12436463421).

The spelling of 10303233120 in words is "ten billion, three hundred three million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 37 40 45 48 60 72 74 80 90 96 111 120 144 148 160 180 185 222 240 288 296 333 360 370 444 480 555 592 666 720 740 888 1110 1184 1332 1440 1480 1665 1776 2220 2664 2960 3330 3552 4440 5328 5920 6660 8880 10656 13320 17760 26640 53280 193379 386758 580137 773516 966895 1160274 1547032 1740411 1933790 2320548 2900685 3094064 3480822 3867580 4641096 5801370 6188128 6961644 7155023 7735160 8702055 9282192 11602740 13923288 14310046 15470320 17404110 18564384 21465069 23205480 27846576 28620092 30940640 34808220 35775115 42930138 46410960 55693152 57240184 64395207 69616440 71550230 85860276 92821920 107325345 114480368 128790414 139232880 143100460 171720552 214650690 228960736 257580828 278465760 286200920 321976035 343441104 429301380 515161656 572401840 643952070 686882208 858602760 1030323312 1144803680 1287904140 1717205520 2060646624 2575808280 3434411040 5151616560 10303233120