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23131303020 = 22325718358177
BaseRepresentation
bin10101100010101110…
…111010110001101100
32012201001121221110200
4111202232322301230
5334333103144040
614343144033500
71446133555140
oct254256726154
965631557420
1023131303020
1198a0021361
124596762890
132248342a67
14119610b220
15905ae9630
hex562bbac6c

23131303020 has 72 divisors (see below), whose sum is σ = 80188521504. Its totient is φ = 5287154688.

The previous prime is 23131303007. The next prime is 23131303049. The reversal of 23131303020 is 2030313132.

23131303020 is a `hidden beast` number, since 231 + 3 + 130 + 302 + 0 = 666.

It is a super-2 number, since 2×231313030202 (a number of 22 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 = 23131302984 and 23131303002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9177829 + ... + 9180348.

Almost surely, 223131303020 is an apocalyptic number.

23131303020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23131303020 is an abundant number, since it is smaller than the sum of its proper divisors (57057218484).

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

23131303020 is a wasteful number, since it uses less digits than its factorization.

23131303020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18358199 (or 18358194 counting only the distinct ones).

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

Adding to 23131303020 its reverse (2030313132), we get a palindrome (25161616152).

The spelling of 23131303020 in words is "twenty-three billion, one hundred thirty-one million, three hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 18358177 36716354 55074531 73432708 91790885 110149062 128507239 165223593 183581770 220298124 257014478 275372655 330447186 367163540 385521717 514028956 550745310 642536195 660894372 771043434 826117965 1101490620 1156565151 1285072390 1542086868 1652235930 1927608585 2313130302 2570144780 3304471860 3855217170 4626260604 5782825755 7710434340 11565651510 23131303020