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200201211120 = 24351316367723
BaseRepresentation
bin1011101001110011101…
…1000000110011110000
3201010202100220021021010
42322130323000303300
511240003002223440
6231545434430520
720315113134231
oct2723473006360
9633670807233
10200201211120
11779a5401089
1232972b92440
1315b56c0b801
149992adb088
15531ae6c580
hex2e9cec0cf0

200201211120 has 80 divisors (see below), whose sum is σ = 625361438592. Its totient is φ = 52979447040.

The previous prime is 200201211113. The next prime is 200201211167. The reversal of 200201211120 is 21112102002.

200201211120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 200201211096 and 200201211105.

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 15 ways as a sum of consecutive naturals, for example, 3152422 + ... + 3215301.

Almost surely, 2200201211120 is an apocalyptic number.

200201211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200201211120 is an abundant number, since it is smaller than the sum of its proper divisors (425160227472).

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

200201211120 is a wasteful number, since it uses less digits than its factorization.

200201211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6367870 (or 6367864 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200201211120 its reverse (21112102002), we get a palindrome (221313313122).

The spelling of 200201211120 in words is "two hundred billion, two hundred one million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 131 240 262 393 524 655 786 1048 1310 1572 1965 2096 2620 3144 3930 5240 6288 7860 10480 15720 31440 6367723 12735446 19103169 25470892 31838615 38206338 50941784 63677230 76412676 95515845 101883568 127354460 152825352 191031690 254708920 305650704 382063380 509417840 764126760 834171713 1528253520 1668343426 2502515139 3336686852 4170858565 5005030278 6673373704 8341717130 10010060556 12512575695 13346747408 16683434260 20020121112 25025151390 33366868520 40040242224 50050302780 66733737040 100100605560 200201211120