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10230211032 = 2332395319447
BaseRepresentation
bin10011000011100010…
…01010000111011000
3222101221221120021220
421201301022013120
5131422413223112
64411044532040
7511341234066
oct114161120730
928357846256
1010230211032
11437a761a68
121b960b1020
13c705c1812
146d096b036
153ed1d398c
hex261c4a1d8

10230211032 has 64 divisors (see below), whose sum is σ = 26716884480. Its totient is φ = 3258216192.

The previous prime is 10230210979. The next prime is 10230211037. The reversal of 10230211032 is 23011203201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10230211037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 516333 + ... + 535779.

It is an arithmetic number, because the mean of its divisors is an integer number (417451320).

Almost surely, 210230211032 is an apocalyptic number.

10230211032 is a gapful number since it is divisible by the number (12) 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 10230211032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13358442240).

10230211032 is an abundant number, since it is smaller than the sum of its proper divisors (16486673448).

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

10230211032 is a wasteful number, since it uses less digits than its factorization.

10230211032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20432 (or 20428 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10230211032 its reverse (23011203201), we get a palindrome (33241414233).

The spelling of 10230211032 in words is "ten billion, two hundred thirty million, two hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 953 1906 2859 3812 5718 7624 11436 19447 21919 22872 38894 43838 58341 65757 77788 87676 116682 131514 155576 175352 233364 263028 447281 466728 526056 894562 1341843 1789124 2683686 3578248 5367372 10734744 18532991 37065982 55598973 74131964 111197946 148263928 222395892 426258793 444791784 852517586 1278776379 1705035172 2557552758 3410070344 5115105516 10230211032