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10203111342 = 2323738939383
BaseRepresentation
bin10011000000010011…
…10001111110101110
3222100001221202111200
421200021301332232
5131343444030332
64404240030330
7510562005204
oct114011617656
928301852450
1010203111342
114366432626
121b890023a6
13c67ac39b8
146cb115074
153eab2e17c
hex260271fae

10203111342 has 48 divisors (see below), whose sum is σ = 22763164320. Its totient is φ = 3300526656.

The previous prime is 10203111341. The next prime is 10203111371. The reversal of 10203111342 is 24311130201.

10203111342 is a `hidden beast` number, since 10 + 2 + 0 + 311 + 1 + 342 = 666.

10203111342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (10203111341) 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 23 ways as a sum of consecutive naturals, for example, 239383 + ... + 278765.

It is an arithmetic number, because the mean of its divisors is an integer number (474232590).

Almost surely, 210203111342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10203111342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11381582160).

10203111342 is an abundant number, since it is smaller than the sum of its proper divisors (12560052978).

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

10203111342 is a wasteful number, since it uses less digits than its factorization.

10203111342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39817 (or 39814 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10203111342 its reverse (24311130201), we get a palindrome (34514241543).

The spelling of 10203111342 in words is "ten billion, two hundred three million, one hundred eleven thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 389 666 778 1167 2334 3501 7002 14393 28786 39383 43179 78766 86358 118149 129537 236298 259074 354447 708894 1457171 2914342 4371513 8743026 13114539 15319987 26229078 30639974 45959961 91919922 137879883 275759766 566839519 1133679038 1700518557 3401037114 5101555671 10203111342