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103333021220 = 2251113101357727
BaseRepresentation
bin110000000111100100…
…0001100011000100100
3100212201110022100211002
41200033020030120210
53143111223134340
6115245345132432
710315455121352
oct1401710143044
9325643270732
10103333021220
113a9068842a0
121803a02a118
13998a1b3c50
1450039947d2
152a4bb61715
hex180f20c624

103333021220 has 96 divisors (see below), whose sum is σ = 257461134336. Its totient is φ = 34341696000.

The previous prime is 103333021217. The next prime is 103333021223. The reversal of 103333021220 is 22120333301.

It is an interprime number because it is at equal distance from previous prime (103333021217) and next prime (103333021223).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103333021192 and 103333021201.

It is not an unprimeable number, because it can be changed into a prime (103333021223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109997 + ... + 467723.

It is an arithmetic number, because the mean of its divisors is an integer number (2681886816).

Almost surely, 2103333021220 is an apocalyptic number.

103333021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103333021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128730567168).

103333021220 is an abundant number, since it is smaller than the sum of its proper divisors (154128113116).

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

103333021220 is a wasteful number, since it uses less digits than its factorization.

103333021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357861 (or 357859 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 103333021220 its reverse (22120333301), we get a palindrome (125453354521).

The spelling of 103333021220 in words is "one hundred three billion, three hundred thirty-three million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 101 110 130 143 202 220 260 286 404 505 572 715 1010 1111 1313 1430 2020 2222 2626 2860 4444 5252 5555 6565 11110 13130 14443 22220 26260 28886 57772 72215 144430 288860 357727 715454 1430908 1788635 3577270 3934997 4650451 7154540 7869994 9300902 15739988 18601804 19674985 23252255 36130427 39349970 46504510 51154961 72260854 78699940 93009020 102309922 144521708 180652135 204619844 255774805 361304270 397434697 469695551 511549610 722608540 794869394 939391102 1023099220 1589738788 1878782204 1987173485 2348477755 3974346970 4696955510 5166651061 7948693940 9393911020 10333302122 20666604244 25833255305 51666510610 103333021220