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103022002020 = 22357832955307
BaseRepresentation
bin101111111110010010…
…1101111111101100100
3100211220210001221200110
41133330211233331210
53141442113031040
6115154435013020
710304660366010
oct1377445577544
9324823057613
10103022002020
113a767263a33
1217b71a3a170
13993a928712
144db4553540
152a2e6c7980
hex17fc96ff64

103022002020 has 96 divisors (see below), whose sum is σ = 333642451968. Its totient is φ = 23264168832.

The previous prime is 103022002009. The next prime is 103022002033. The reversal of 103022002020 is 20200220301.

It is a super-2 number, since 2×1030220020202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 103022001987 and 103022002005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1442794 + ... + 1512513.

It is an arithmetic number, because the mean of its divisors is an integer number (3475442208).

Almost surely, 2103022002020 is an apocalyptic number.

103022002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103022002020 is an abundant number, since it is smaller than the sum of its proper divisors (230620449948).

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

103022002020 is a wasteful number, since it uses less digits than its factorization.

103022002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955409 (or 2955407 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 103022002020 its reverse (20200220301), we get a palindrome (123222222321).

The spelling of 103022002020 in words is "one hundred three billion, twenty-two million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 83 84 105 140 166 210 249 332 415 420 498 581 830 996 1162 1245 1660 1743 2324 2490 2905 3486 4980 5810 6972 8715 11620 17430 34860 2955307 5910614 8865921 11821228 14776535 17731842 20687149 29553070 35463684 41374298 44329605 59106140 62061447 82748596 88659210 103435745 124122894 177318420 206871490 245290481 248245788 310307235 413742980 490580962 620614470 735871443 981161924 1226452405 1241228940 1471742886 1717033367 2452904810 2943485772 3434066734 3679357215 4905809620 5151100101 6868133468 7358714430 8585166835 10302200202 14717428860 17170333670 20604400404 25755500505 34340667340 51511001010 103022002020