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198021011000 = 2353479534421
BaseRepresentation
bin1011100001101011111…
…0001101011000111000
3200221010102110121221112
42320122332031120320
511221021334323000
6230545233255452
720210100551531
oct2703276153070
9627112417845
10198021011000
1176a867754aa
1232464a04588
131589a320477
149827335688
15523e862235
hex2e1af8d638

198021011000 has 128 divisors (see below), whose sum is σ = 473831804160. Its totient is φ = 77424256000.

The previous prime is 198021010963. The next prime is 198021011033. The reversal of 198021011000 is 110120891.

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, 44788790 + ... + 44793210.

It is an arithmetic number, because the mean of its divisors is an integer number (3701810970).

Almost surely, 2198021011000 is an apocalyptic number.

198021011000 is a gapful number since it is divisible by the number (10) 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 198021011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236915902080).

198021011000 is an abundant number, since it is smaller than the sum of its proper divisors (275810793160).

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

198021011000 is a wasteful number, since it uses less digits than its factorization.

198021011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5442 (or 5428 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 23.

Adding to 198021011000 its reverse (110120891), we get a palindrome (198131131891).

The spelling of 198021011000 in words is "one hundred ninety-eight billion, twenty-one million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 376 470 500 940 953 1000 1175 1880 1906 2350 3812 4421 4700 4765 5875 7624 8842 9400 9530 11750 17684 19060 22105 23500 23825 35368 38120 44210 44791 47000 47650 88420 89582 95300 110525 119125 176840 179164 190600 207787 221050 223955 238250 358328 415574 442100 447910 476500 552625 831148 884200 895820 953000 1038935 1105250 1119775 1662296 1791640 2077870 2210500 2239550 4155740 4213213 4421000 4479100 5194675 5598875 8311480 8426426 8958200 10389350 11197750 16852852 20778700 21066065 22395500 25973375 33705704 41557400 42132130 44791000 51946750 84264260 103893500 105330325 168528520 198021011 207787000 210660650 396042022 421321300 526651625 792084044 842642600 990105055 1053303250 1584168088 1980210110 2106606500 3960420220 4213213000 4950525275 7920840440 9901050550 19802101100 24752626375 39604202200 49505252750 99010505500 198021011000