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1023131020 = 225295573167
BaseRepresentation
bin111100111110111…
…011110110001100
32122022012102220111
4330332323312030
54043410143040
6245305125404
734232320162
oct7476736614
92568172814
101023131020
1148559252a
12246789864
13133c78792
1499c4d232
155ec4edea
hex3cfbbd8c

1023131020 has 48 divisors (see below), whose sum is σ = 2227357440. Its totient is φ = 394306304.

The previous prime is 1023131017. The next prime is 1023131023. The reversal of 1023131020 is 201313201.

It is an interprime number because it is at equal distance from previous prime (1023131017) and next prime (1023131023).

It is not an unprimeable number, because it can be changed into a prime (1023131023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321477 + ... + 324643.

It is an arithmetic number, because the mean of its divisors is an integer number (46403280).

Almost surely, 21023131020 is an apocalyptic number.

1023131020 is a gapful number since it is divisible by the number (10) 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 1023131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113678720).

1023131020 is an abundant number, since it is smaller than the sum of its proper divisors (1204226420).

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

1023131020 is a wasteful number, since it uses less digits than its factorization.

1023131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3762 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1023131020 is about 31986.4193056991. The cubic root of 1023131020 is about 1007.6516430304.

Adding to 1023131020 its reverse (201313201), we get a palindrome (1224444221).

The spelling of 1023131020 in words is "one billion, twenty-three million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 557 580 1114 2228 2785 3167 5570 6334 11140 12668 15835 16153 31670 32306 63340 64612 80765 91843 161530 183686 323060 367372 459215 918430 1764019 1836860 3528038 7056076 8820095 17640190 35280380 51156551 102313102 204626204 255782755 511565510 1023131020