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230221132100 = 22526758215903
BaseRepresentation
bin1101011001101000111…
…1111011000101000100
3211000020111200021002022
43112122033323011010
512232443102211400
6253432341502312
722430044222601
oct3263217730504
9730214607068
10230221132100
11896aa911033
1238750711998
131892c45a06b
14b1dda4d6a8
155ec66cdb85
hex359a3fb144

230221132100 has 72 divisors (see below), whose sum is σ = 507209286528. Its totient is φ = 90683049600.

The previous prime is 230221132093. The next prime is 230221132187. The reversal of 230221132100 is 1231122032.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38997749 + ... + 39003651.

It is an arithmetic number, because the mean of its divisors is an integer number (7044573424).

Almost surely, 2230221132100 is an apocalyptic number.

230221132100 is a gapful number since it is divisible by the number (20) 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 230221132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253604643264).

230221132100 is an abundant number, since it is smaller than the sum of its proper divisors (276988154428).

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

230221132100 is a wasteful number, since it uses less digits than its factorization.

230221132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11805 (or 11798 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 230221132100 its reverse (1231122032), we get a palindrome (231452254132).

The spelling of 230221132100 in words is "two hundred thirty billion, two hundred twenty-one million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 670 1340 1675 3350 5821 5903 6700 11642 11806 23284 23612 29105 29515 58210 59030 116420 118060 145525 147575 291050 295150 390007 395501 582100 590300 780014 791002 1560028 1582004 1950035 1977505 3900070 3955010 7800140 7910020 9750175 9887525 19500350 19775050 34361363 39000700 39550100 68722726 137445452 171806815 343613630 687227260 859034075 1718068150 2302211321 3436136300 4604422642 9208845284 11511056605 23022113210 46044226420 57555283025 115110566050 230221132100