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10232234442 = 2341511812311
BaseRepresentation
bin10011000011110001…
…11000000111001010
3222102002202100220000
421201320320013022
5131423423000232
64411200143430
7511364362203
oct114170700712
928362670800
1010232234442
114380914201
121b96907b76
13c70b4c7c1
146d0d365aa
153ed48327c
hex261e381ca

10232234442 has 80 divisors (see below), whose sum is σ = 23217177984. Its totient is φ = 3367980000.

The previous prime is 10232234423. The next prime is 10232234461. The reversal of 10232234442 is 24443223201.

It is an interprime number because it is at equal distance from previous prime (10232234423) and next prime (10232234461).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4426467 + ... + 4428777.

Almost surely, 210232234442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10232234442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11608588992).

10232234442 is an abundant number, since it is smaller than the sum of its proper divisors (12984943542).

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

10232234442 is a wasteful number, since it uses less digits than its factorization.

10232234442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 10232234442 its reverse (24443223201), we get a palindrome (34675457643).

The spelling of 10232234442 in words is "ten billion, two hundred thirty-two million, two hundred thirty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 151 162 181 302 362 453 543 906 1086 1359 1629 2311 2718 3258 4077 4622 4887 6933 8154 9774 12231 13866 14661 20799 24462 27331 29322 41598 54662 62397 81993 124794 163986 187191 245979 348961 374382 418291 491958 697922 737937 836582 1046883 1254873 1475874 2093766 2213811 2509746 3140649 3764619 4427622 6281298 7529238 9421947 11293857 18843894 22587714 28265841 33881571 56531682 63161941 67763142 126323882 189485823 378971646 568457469 1136914938 1705372407 3410744814 5116117221 10232234442