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201083350050 = 2325211234737579
BaseRepresentation
bin1011101101000110000…
…0000110110000100010
3201020000211210120101100
42323101200012300202
511243304314200200
6232213150015230
720346014162652
oct2732140066042
9636024716340
10201083350050
1178308344120
1232b7a4a7516
1315c678c04cb
149a37d28362
15536d61bd00
hex2ed1806c22

201083350050 has 288 divisors, whose sum is σ = 628082657280. Its totient is φ = 45634723200.

The previous prime is 201083349979. The next prime is 201083350079. The reversal of 201083350050 is 50053380102.

201083350050 is a `hidden beast` number, since 2 + 0 + 108 + 3 + 3 + 500 + 50 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 201083349996 and 201083350023.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5332161 + ... + 5369739.

It is an arithmetic number, because the mean of its divisors is an integer number (2180842560).

Almost surely, 2201083350050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201083350050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314041328640).

201083350050 is an abundant number, since it is smaller than the sum of its proper divisors (426999307230).

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

201083350050 is a wasteful number, since it uses less digits than its factorization.

201083350050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37678 (or 37670 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 201083350050 in words is "two hundred one billion, eighty-three million, three hundred fifty thousand, fifty".