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10233113040 = 2432514212657
BaseRepresentation
bin10011000011111000…
…01110100111010000
3222102011102000002200
421201330032213100
5131424134104130
64411231043200
7511405011543
oct114174164720
928364360080
1010233113040
114381364317
121b97070500
13c71099697
146d10c485a
153ed5a8760
hex261f0e9d0

10233113040 has 60 divisors (see below), whose sum is σ = 34366207044. Its totient is φ = 2728829952.

The previous prime is 10233113027. The next prime is 10233113047. The reversal of 10233113040 is 4031133201.

It can be written as a sum of positive squares in 2 ways, for example, as 5333673024 + 4899440016 = 73032^2 + 69996^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233113047) 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, 7105609 + ... + 7107048.

Almost surely, 210233113040 is an apocalyptic number.

10233113040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10233113040 is an abundant number, since it is smaller than the sum of its proper divisors (24133094004).

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

10233113040 is a wasteful number, since it uses less digits than its factorization.

10233113040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14212676 (or 14212667 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10233113040 its reverse (4031133201), we get a palindrome (14264246241).

The spelling of 10233113040 in words is "ten billion, two hundred thirty-three million, one hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 14212657 28425314 42637971 56850628 71063285 85275942 113701256 127913913 142126570 170551884 213189855 227402512 255827826 284253140 341103768 426379710 511655652 568506280 639569565 682207536 852759420 1023311304 1137012560 1279139130 1705518840 2046622608 2558278260 3411037680 5116556520 10233113040