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120200210021000 = 2353353334022137
BaseRepresentation
bin11011010101001001001010…
…110100011111101010001000
3120202121000202022020220002102
4123111021022310133222020
5111223330012231133000
61103351114132252532
734214115154243244
oct3325111264375210
9522530668226072
10120200210021000
1135332693a4228a
1211593733171148
13520baa6101415
142197a14dc1424
15dd6a3b2633d5
hex6d524ad1fa88

120200210021000 has 64 divisors (see below), whose sum is σ = 281348111519280. Its totient is φ = 48066473740800.

The previous prime is 120200210020997. The next prime is 120200210021057. The reversal of 120200210021000 is 120012002021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 39596336523844 + 80603873497156 = 6292562^2 + 8977966^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13478069 + ... + 20544068.

Almost surely, 2120200210021000 is an apocalyptic number.

120200210021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120200210021000 is an abundant number, since it is smaller than the sum of its proper divisors (161147901498280).

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

120200210021000 is a wasteful number, since it uses less digits than its factorization.

120200210021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34025691 (or 34025677 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 120200210021000 its reverse (120012002021), we get a palindrome (120320222023021).

The spelling of 120200210021000 in words is "one hundred twenty trillion, two hundred billion, two hundred ten million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 3533 7066 14132 17665 28264 35330 70660 88325 141320 176650 353300 441625 706600 883250 1766500 3533000 34022137 68044274 136088548 170110685 272177096 340221370 680442740 850553425 1360885480 1701106850 3402213700 4252767125 6804427400 8505534250 17011068500 34022137000 120200210021 240400420042 480800840084 601001050105 961601680168 1202002100210 2404004200420 3005005250525 4808008400840 6010010501050 12020021002100 15025026252625 24040042004200 30050052505250 60100105010500 120200210021000