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210002001100020 = 223253731531831997
BaseRepresentation
bin101111101111111011100110…
…101011010111110011110100
31000112112222212112021201120100
4233233323212223113303310
5210011133044240200040
62022345330521034100
762143100233025013
oct5757734653276364
91015488775251510
10210002001100020
1160a05391975438
121b677965325930
139024146b8834c
1439c0218816a7a
151942979a10b30
hexbefee6ad7cf4

210002001100020 has 72 divisors (see below), whose sum is σ = 654222450294504. Its totient is φ = 54487005689088.

The previous prime is 210002001099977. The next prime is 210002001100039. The reversal of 210002001100020 is 20001100200012.

It can be written as a sum of positive squares in 4 ways, for example, as 125425395625104 + 84576605474916 = 11199348^2 + 9196554^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 210002001099975 and 210002001100011.

It is a congruent number.

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, 15765909339 + ... + 15765922658.

It is an arithmetic number, because the mean of its divisors is an integer number (9086422920757).

Almost surely, 2210002001100020 is an apocalyptic number.

210002001100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210002001100020 is an abundant number, since it is smaller than the sum of its proper divisors (444220449194484).

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

210002001100020 is a wasteful number, since it uses less digits than its factorization.

210002001100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31531832049 (or 31531832044 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 210002001100020 its reverse (20001100200012), we get a palindrome (230003101300032).

The spelling of 210002001100020 in words is "two hundred ten trillion, two billion, one million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 31531831997 63063663994 94595495991 126127327988 157659159985 189190991982 283786487973 315318319970 378381983964 472977479955 567572975946 630636639940 945954959910 1135145951892 1166677783889 1418932439865 1891909919820 2333355567778 2837864879730 3500033351667 4666711135556 5675729759460 5833388919445 7000066703334 10500100055001 11666777838890 14000133406668 17500166758335 21000200110002 23333555677780 35000333516670 42000400220004 52500500275005 70000667033340 105001000550010 210002001100020