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331202232020 = 2251141101363551
BaseRepresentation
bin1001101000111010011…
…00001111111011010100
31011122220001102122102002
410310131030033323110
520411300232411040
6412052513134432
732633333343662
oct4643514177324
91148801378362
10331202232020
1111850a031010
1254232b5a418
13253032ba0aa
141205d0dbc32
158936b14a15
hex4d1d30fed4

331202232020 has 96 divisors (see below), whose sum is σ = 784958211072. Its totient is φ = 116336000000.

The previous prime is 331202232017. The next prime is 331202232059. The reversal of 331202232020 is 20232202133.

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

It is a junction number, because it is equal to n+sod(n) for n = 331202231983 and 331202232001.

It is a congruent number.

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, 729245 + ... + 1092795.

It is an arithmetic number, because the mean of its divisors is an integer number (8176648032).

Almost surely, 2331202232020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331202232020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392479105536).

331202232020 is an abundant number, since it is smaller than the sum of its proper divisors (453755979052).

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

331202232020 is a wasteful number, since it uses less digits than its factorization.

331202232020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363713 (or 363711 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 331202232020 its reverse (20232202133), we get a palindrome (351434434153).

The spelling of 331202232020 in words is "three hundred thirty-one billion, two hundred two million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 101 110 164 202 205 220 404 410 451 505 820 902 1010 1111 1804 2020 2222 2255 4141 4444 4510 5555 8282 9020 11110 16564 20705 22220 41410 45551 82820 91102 182204 227755 363551 455510 727102 911020 1454204 1817755 3635510 3999061 7271020 7998122 14905591 15996244 19995305 29811182 36718651 39990610 59622364 73437302 74527955 79981220 146874604 149055910 163961501 183593255 298111820 327923002 367186510 403905161 655846004 734373020 807810322 819807505 1505464691 1615620644 1639615010 2019525805 3010929382 3279230020 4039051610 6021858764 7527323455 8078103220 15054646910 16560111601 30109293820 33120223202 66240446404 82800558005 165601116010 331202232020