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1000200222200 = 2352113131337837
BaseRepresentation
bin11101000111000001001…
…01000011010111111000
310112121200200011202201002
432203200211003113320
5112341402224102300
62043252521544132
7132155615420144
oct16434045032770
93477620152632
101000200222200
11356200a4a893
12141a19045048
137341a90000a
14365a4c86224
151b03e1165d5
hexe8e09435f8

1000200222200 has 96 divisors (see below), whose sum is σ = 2363960594160. Its totient is φ = 393511372800.

The previous prime is 1000200222187. The next prime is 1000200222223. The reversal of 1000200222200 is 22220020001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2791682 + ... + 3129518.

Almost surely, 21000200222200 is an apocalyptic number.

1000200222200 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 1000200222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181980297080).

1000200222200 is an abundant number, since it is smaller than the sum of its proper divisors (1363760371960).

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

1000200222200 is a wasteful number, since it uses less digits than its factorization.

1000200222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338097 (or 338088 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 1000200222200 its reverse (22220020001), we get a palindrome (1022420242201).

The spelling of 1000200222200 in words is "one trillion, two hundred million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 131 200 226 262 452 524 565 655 904 1048 1130 1310 2260 2620 2825 3275 4520 5240 5650 6550 11300 13100 14803 22600 26200 29606 59212 74015 118424 148030 296060 337837 370075 592120 675674 740150 1351348 1480300 1689185 2702696 2960600 3378370 6756740 8445925 13513480 16891850 33783700 38175581 44256647 67567400 76351162 88513294 152702324 177026588 190877905 221283235 305404648 354053176 381755810 442566470 763511620 885132940 954389525 1106416175 1527023240 1770265880 1908779050 2212832350 3817558100 4425664700 5001001111 7635116200 8851329400 10002002222 20004004444 25005005555 40008008888 50010011110 100020022220 125025027775 200040044440 250050055550 500100111100 1000200222200