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103322033102020 = 22517304999668197
BaseRepresentation
bin10111011111100010001001…
…000101001001110011000100
3111112211111020010200101101111
4113133202021011021303010
5102020312010433231040
61003425253045134404
730522525204456025
oct2737421105116304
9445744203611344
10103322033102020
112aa156a00a4877
12b7086039ba404
1345862c2446605
141b72b55166c4c
15be299ab8ddea
hex5df889149cc4

103322033102020 has 48 divisors (see below), whose sum is σ = 229814930948400. Its totient is φ = 38884948660224.

The previous prime is 103322033102017. The next prime is 103322033102077. The reversal of 103322033102020 is 20201330223301.

It can be written as a sum of positive squares in 8 ways, for example, as 104520303616 + 103217512798404 = 323296^2 + 10159602^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103322033101982 and 103322033102000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48797439 + ... + 50870758.

It is an arithmetic number, because the mean of its divisors is an integer number (4787811061425).

Almost surely, 2103322033102020 is an apocalyptic number.

103322033102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103322033102020 is an abundant number, since it is smaller than the sum of its proper divisors (126492897846380).

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

103322033102020 is a wasteful number, since it uses less digits than its factorization.

103322033102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99671272 (or 99671270 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 103322033102020 its reverse (20201330223301), we get a palindrome (123523363325321).

The spelling of 103322033102020 in words is "one hundred three trillion, three hundred twenty-two billion, thirty-three million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 3049 6098 12196 15245 30490 51833 60980 103666 207332 259165 518330 1036660 99668197 199336394 398672788 498340985 996681970 1694359349 1993363940 3388718698 6777437396 8471796745 16943593490 33887186980 303888332653 607776665306 1215553330612 1519441663265 3038883326530 5166101655101 6077766653060 10332203310202 20664406620404 25830508275505 51661016551010 103322033102020