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23200131020 = 22511281111821
BaseRepresentation
bin10101100110110101…
…011110011111001100
32012212212010202201212
4111212311132133030
5340003213143040
614354043153552
71450630600643
oct254665363714
965785122655
1023200131020
119925961900
1245b58158b8
132259690ca1
1411a130635a
1590bb92d65
hex566d5e7cc

23200131020 has 72 divisors (see below), whose sum is σ = 53622605904. Its totient is φ = 8425296000.

The previous prime is 23200131011. The next prime is 23200131029. The reversal of 23200131020 is 2013100232.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23200131011) and next prime (23200131029).

It is a junction number, because it is equal to n+sod(n) for n = 23200130986 and 23200131004.

It is not an unprimeable number, because it can be changed into a prime (23200131029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1956710 + ... + 1968530.

Almost surely, 223200131020 is an apocalyptic number.

23200131020 is a gapful number since it is divisible by the number (20) 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 23200131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26811302952).

23200131020 is an abundant number, since it is smaller than the sum of its proper divisors (30422474884).

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

23200131020 is a wasteful number, since it uses less digits than its factorization.

23200131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12663 (or 12650 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 23200131020 its reverse (2013100232), we get a palindrome (25213231252).

The spelling of 23200131020 in words is "twenty-three billion, two hundred million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 811 1210 1622 2420 3244 4055 8110 8921 11821 16220 17842 23642 35684 44605 47284 59105 89210 98131 118210 130031 178420 196262 236420 260062 392524 490655 520124 650155 981310 1300310 1430341 1962620 2600620 2860682 5721364 7151705 9586831 14303410 19173662 28606820 38347324 47934155 95868310 105455141 191736620 210910282 421820564 527275705 1054551410 1160006551 2109102820 2320013102 4640026204 5800032755 11600065510 23200131020