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10233079540 = 2253116679901
BaseRepresentation
bin10011000011111000…
…00110011011110100
3222102011100022010221
421201330012123310
5131424132021130
64411230224124
7511404512065
oct114174063364
928364308127
1010233079540
114381341132
121b97055044
13c71087368
146d10b656c
153ed59d87a
hex261f066f4

10233079540 has 48 divisors (see below), whose sum is σ = 22198224384. Its totient is φ = 3958416000.

The previous prime is 10233079537. The next prime is 10233079547. The reversal of 10233079540 is 4597033201.

10233079540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102330795402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10233079496 and 10233079505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233079547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1028590 + ... + 1038490.

It is an arithmetic number, because the mean of its divisors is an integer number (462463008).

Almost surely, 210233079540 is an apocalyptic number.

10233079540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10233079540 is an abundant number, since it is smaller than the sum of its proper divisors (11965144844).

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

10233079540 is a wasteful number, since it uses less digits than its factorization.

10233079540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11608 (or 11606 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The spelling of 10233079540 in words is "ten billion, two hundred thirty-three million, seventy-nine thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 1667 3334 6668 8335 9901 16670 19802 33340 39604 49505 51677 99010 103354 198020 206708 258385 306931 516770 613862 1033540 1227724 1534655 3069310 6138620 16504967 33009934 66019868 82524835 165049670 330099340 511653977 1023307954 2046615908 2558269885 5116539770 10233079540