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10232434100 = 22527137106699
BaseRepresentation
bin10011000011110011…
…01000110110110100
3222102010010111202202
421201321220312310
5131424000342400
64411204324032
7511366153250
oct114171506664
928363114682
1010232434100
114380a40209
121b969a3618
13c70bbc645
146d0d89260
153ed4c24d5
hex261e68db4

10232434100 has 72 divisors (see below), whose sum is σ = 25561905600. Its totient is φ = 3482622720.

The previous prime is 10232434087. The next prime is 10232434109. The reversal of 10232434100 is 143423201.

10232434100 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 2×102324341002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10232434109) 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, 42551 + ... + 149249.

Almost surely, 210232434100 is an apocalyptic number.

10232434100 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 10232434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12780952800).

10232434100 is an abundant number, since it is smaller than the sum of its proper divisors (15329471500).

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

10232434100 is a wasteful number, since it uses less digits than its factorization.

10232434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106857 (or 106850 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10232434100 its reverse (143423201), we get a palindrome (10375857301).

The spelling of 10232434100 in words is "ten billion, two hundred thirty-two million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 137 140 175 274 350 548 685 700 959 1370 1918 2740 3425 3836 4795 6850 9590 13700 19180 23975 47950 95900 106699 213398 426796 533495 746893 1066990 1493786 2133980 2667475 2987572 3734465 5334950 7468930 10669900 14617763 14937860 18672325 29235526 37344650 58471052 73088815 74689300 102324341 146177630 204648682 292355260 365444075 409297364 511621705 730888150 1023243410 1461776300 2046486820 2558108525 5116217050 10232434100