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200212200100 = 225211971876403
BaseRepresentation
bin1011101001110110010…
…0111011101010100100
3201010210010120120022101
42322131210323222210
511240013310400400
6231550510141444
720315305423123
oct2723544735244
9633703516271
10200212200100
1177a00627290
12329767b1884
1315b59288573
14999435baba
15531bddd56a
hex2e9d93baa4

200212200100 has 72 divisors (see below), whose sum is σ = 478843289568. Its totient is φ = 72053836800.

The previous prime is 200212200059. The next prime is 200212200121. The reversal of 200212200100 is 1002212002.

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

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, 831502 + ... + 1044901.

It is an arithmetic number, because the mean of its divisors is an integer number (6650601244).

Almost surely, 2200212200100 is an apocalyptic number.

200212200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200212200100 is an abundant number, since it is smaller than the sum of its proper divisors (278631089468).

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

200212200100 is a wasteful number, since it uses less digits than its factorization.

200212200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876525 (or 1876518 counting only the distinct ones).

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

Adding to 200212200100 its reverse (1002212002), we get a palindrome (201214412102).

The spelling of 200212200100 in words is "two hundred billion, two hundred twelve million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 97 100 110 194 220 275 388 485 550 970 1067 1100 1940 2134 2425 4268 4850 5335 9700 10670 21340 26675 53350 106700 1876403 3752806 7505612 9382015 18764030 20640433 37528060 41280866 46910075 82561732 93820150 103202165 182011091 187640300 206404330 364022182 412808660 516010825 728044364 910055455 1032021650 1820110910 2002122001 2064043300 3640221820 4004244002 4550277275 8008488004 9100554550 10010610005 18201109100 20021220010 40042440020 50053050025 100106100050 200212200100