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200031220100 = 22527383330139
BaseRepresentation
bin1011101001001011001…
…0100011000110000100
3201010022112000211102102
42322102302203012010
511234130443020400
6231520523131232
720310650213465
oct2722262430604
9633275024372
10200031220100
1177918455338
1232926073b18
1315b2a9305ca
1499782cad6c
15530b08e9d5
hex2e92ca3184

200031220100 has 72 divisors (see below), whose sum is σ = 445316602080. Its totient is φ = 77965390080.

The previous prime is 200031220063. The next prime is 200031220121. The reversal of 200031220100 is 1022130002.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 440831 + ... + 770969.

Almost surely, 2200031220100 is an apocalyptic number.

200031220100 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 200031220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222658301040).

200031220100 is an abundant number, since it is smaller than the sum of its proper divisors (245285381980).

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

200031220100 is a wasteful number, since it uses less digits than its factorization.

200031220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330309 (or 330302 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 200031220100 its reverse (1022130002), we get a palindrome (201053350102).

The spelling of 200031220100 in words is "two hundred billion, thirty-one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 83 100 146 166 292 332 365 415 730 830 1460 1660 1825 2075 3650 4150 6059 7300 8300 12118 24236 30295 60590 121180 151475 302950 330139 605900 660278 1320556 1650695 3301390 6602780 8253475 16506950 24100147 27401537 33013900 48200294 54803074 96400588 109606148 120500735 137007685 241001470 274015370 482002940 548030740 602503675 685038425 1205007350 1370076850 2000312201 2410014700 2740153700 4000624402 8001248804 10001561005 20003122010 40006244020 50007805025 100015610050 200031220100