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200122001020 = 225311019316759
BaseRepresentation
bin1011101001100000110…
…0110110011001111100
3201010112211211222102201
42322120030312121330
511234322213013040
6231533525001244
720313131641054
oct2723014663174
9633484758381
10200122001020
117796471a397
1232950553224
1315b43696b26
14998639c564
155314022a9a
hex2e9833667c

200122001020 has 48 divisors (see below), whose sum is σ = 434239948800. Its totient is φ = 77390314560.

The previous prime is 200122001017. The next prime is 200122001069. The reversal of 200122001020 is 20100221002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 200122000988 and 200122001006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 473401 + ... + 790159.

It is an arithmetic number, because the mean of its divisors is an integer number (9046665600).

Almost surely, 2200122001020 is an apocalyptic number.

200122001020 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 200122001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217119974400).

200122001020 is an abundant number, since it is smaller than the sum of its proper divisors (234117947780).

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

200122001020 is a wasteful number, since it uses less digits than its factorization.

200122001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317818 (or 317816 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200122001020 its reverse (20100221002), we get a palindrome (220222222022).

The spelling of 200122001020 in words is "two hundred billion, one hundred twenty-two million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 1019 2038 4076 5095 10190 20380 31589 63178 126356 157945 315890 316759 631780 633518 1267036 1583795 3167590 6335180 9819529 19639058 39278116 49097645 98195290 196390580 322777421 645554842 1291109684 1613887105 3227774210 6455548420 10006100051 20012200102 40024400204 50030500255 100061000510 200122001020