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10020001200210 = 23251074332402999
BaseRepresentation
bin1001000111001111011010…
…0111001011100001010010
31022110220101010000111110100
42101303312213023201102
52303131430301401320
633151043000113230
72052630653630331
oct221636647134122
938426333014410
1010020001200210
113213505502851
121159b3a165816
13578b60b63531
14268d83647d18
1512599ad49790
hex91cf69cb852

10020001200210 has 96 divisors (see below), whose sum is σ = 26356219344000. Its totient is φ = 2640914025984.

The previous prime is 10020001200197. The next prime is 10020001200263. The reversal of 10020001200210 is 1200210002001.

10020001200210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10020001200192 and 10020001200201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2968291 + ... + 5371289.

It is an arithmetic number, because the mean of its divisors is an integer number (274543951500).

Almost surely, 210020001200210 is an apocalyptic number.

10020001200210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020001200210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13178109672000).

10020001200210 is an abundant number, since it is smaller than the sum of its proper divisors (16336218143790).

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

10020001200210 is a wasteful number, since it uses less digits than its factorization.

10020001200210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403552 (or 2403549 counting only the distinct ones).

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

Adding to 10020001200210 its reverse (1200210002001), we get a palindrome (11220211202211).

The spelling of 10020001200210 in words is "ten trillion, twenty billion, one million, two hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 107 214 321 433 535 642 866 963 1070 1299 1605 1926 2165 2598 3210 3897 4330 4815 6495 7794 9630 12990 19485 38970 46331 92662 138993 231655 277986 416979 463310 694965 833958 1389930 2084895 2402999 4169790 4805998 7208997 12014995 14417994 21626991 24029990 36044985 43253982 72089970 108134955 216269910 257120893 514241786 771362679 1040498567 1285604465 1542725358 2080997134 2314088037 2571208930 3121495701 3856813395 4628176074 5202492835 6242991402 7713626790 9364487103 10404985670 11570440185 15607478505 18728974206 23140880370 31214957010 46822435515 93644871030 111333346669 222666693338 334000040007 556666733345 668000080014 1002000120021 1113333466690 1670000200035 2004000240042 3340000400070 5010000600105 10020001200210