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2023131022120 = 235132299279737
BaseRepresentation
bin11101011100001100000…
…000011000001100101000
321011102001110221112010001
4131130030000120030220
5231121333020201440
64145225155032344
7266111033643235
oct35341400301450
97142043845101
102023131022120
117100067a009a
1228811a59b6b4
13118a1b809300
146dcc492678c
153795da6db9a
hex1d70c018328

2023131022120 has 48 divisors (see below), whose sum is σ = 4929137284860. Its totient is φ = 747002221056.

The previous prime is 2023131022117. The next prime is 2023131022123. The reversal of 2023131022120 is 212201313202.

It is an interprime number because it is at equal distance from previous prime (2023131022117) and next prime (2023131022123).

It can be written as a sum of positive squares in 6 ways, for example, as 854652176676 + 1168478845444 = 924474^2 + 1080962^2 .

It is not an unprimeable number, because it can be changed into a prime (2023131022123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149633109 + ... + 149646628.

Almost surely, 22023131022120 is an apocalyptic number.

2023131022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023131022120 is an abundant number, since it is smaller than the sum of its proper divisors (2906006262740).

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

2023131022120 is a wasteful number, since it uses less digits than its factorization.

2023131022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299279774 (or 299279757 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2023131022120 its reverse (212201313202), we get a palindrome (2235332335322).

It can be divided in two parts, 20231310 and 22120, that added together give a triangular number (20253430 = T6364).

The spelling of 2023131022120 in words is "two trillion, twenty-three billion, one hundred thirty-one million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3380 6760 299279737 598559474 1197118948 1496398685 2394237896 2992797370 3890636581 5985594740 7781273162 11971189480 15562546324 19453182905 31125092648 38906365810 50578275553 77812731620 101156551106 155625463240 202313102212 252891377765 404626204424 505782755530 1011565511060 2023131022120