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200002002120 = 2334561729013
BaseRepresentation
bin1011101001000100001…
…1000101110011001000
3201010020111001101220000
42322101003011303020
511234101003031440
6231514001003000
720310143653044
oct2722103056310
9633214041800
10200002002120
1177902a09448
1232918323460
1315b2487056b
149974483024
15530871c730
hex2e910c5cc8

200002002120 has 80 divisors (see below), whose sum is σ = 672228962460. Its totient is φ = 53333866368.

The previous prime is 200002002113. The next prime is 200002002131. The reversal of 200002002120 is 21200200002.

It can be written as a sum of positive squares in 2 ways, for example, as 199417619844 + 584382276 = 446562^2 + 24174^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30861267 + ... + 30867746.

Almost surely, 2200002002120 is an apocalyptic number.

200002002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200002002120 is an abundant number, since it is smaller than the sum of its proper divisors (472226960340).

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

200002002120 is a wasteful number, since it uses less digits than its factorization.

200002002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61729036 (or 61729023 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 200002002120 its reverse (21200200002), we get a palindrome (221202202122).

The spelling of 200002002120 in words is "two hundred billion, two million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 61729013 123458026 185187039 246916052 308645065 370374078 493832104 555561117 617290130 740748156 925935195 1111122234 1234580260 1481496312 1666683351 1851870390 2222244468 2469160520 2777805585 3333366702 3703740780 4444488936 5000050053 5555611170 6666733404 7407481560 8333416755 10000100106 11111222340 13333466808 16666833510 20000200212 22222444680 25000250265 33333667020 40000400424 50000500530 66667334040 100001001060 200002002120