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232201102020 = 2235371039100669
BaseRepresentation
bin1101100001000001000…
…0111010001011000100
3211012100111100011012120
43120100100322023010
512301021440231040
6254401031245540
722530105541626
oct3302020721304
9735314304176
10232201102020
118a526517808
12390038198b0
1318b867103b4
14b34a9b2c16
1560904367d0
hex361043a2c4

232201102020 has 96 divisors (see below), whose sum is σ = 668384371200. Its totient is φ = 60188189184.

The previous prime is 232201102019. The next prime is 232201102099. The reversal of 232201102020 is 20201102232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2256246 + ... + 2356914.

It is an arithmetic number, because the mean of its divisors is an integer number (6962337200).

Almost surely, 2232201102020 is an apocalyptic number.

232201102020 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 232201102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334192185600).

232201102020 is an abundant number, since it is smaller than the sum of its proper divisors (436183269180).

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

232201102020 is a wasteful number, since it uses less digits than its factorization.

232201102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101757 (or 101755 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 232201102020 its reverse (20201102232), we get a palindrome (252402204252).

The spelling of 232201102020 in words is "two hundred thirty-two billion, two hundred one million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1039 1110 2078 2220 3117 4156 5195 6234 10390 12468 15585 20780 31170 38443 62340 76886 100669 115329 153772 192215 201338 230658 302007 384430 402676 461316 503345 576645 604014 768860 1006690 1153290 1208028 1510035 2013380 2306580 3020070 3724753 6040140 7449506 11174259 14899012 18623765 22348518 37247530 44697036 55871295 74495060 104595091 111742590 209190182 223485180 313785273 418380364 522975455 627570546 1045950910 1255141092 1568926365 2091901820 3137852730 3870018367 6275705460 7740036734 11610055101 15480073468 19350091835 23220110202 38700183670 46440220404 58050275505 77400367340 116100551010 232201102020