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200010120100021 = 71114937956381701
BaseRepresentation
bin101101011110100001111100…
…001010001111100010110101
3222020011210002011101101221201
4231132201330022033202311
5202203431211221200041
61545215214122212501
760062153141615350
oct5536417412174265
9866153064341851
10200010120100021
11588028a75a8280
121a523374654131
13877ab47b0994a
143756781acb297
15181cac7772631
hexb5e87c28f8b5

200010120100021 has 64 divisors (see below), whose sum is σ = 252149366016000. Its totient is φ = 154121468256000.

The previous prime is 200010120099941. The next prime is 200010120100031. The reversal of 200010120100021 is 120001021010002.

It is not a de Polignac number, because 200010120100021 - 27 = 200010120099893 is a prime.

It is a super-3 number, since 3×2000101201000213 (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 200010120099980 and 200010120100007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200010120100031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2448033471 + ... + 2448115171.

It is an arithmetic number, because the mean of its divisors is an integer number (3939833844000).

Almost surely, 2200010120100021 is an apocalyptic number.

It is an amenable number.

200010120100021 is a deficient number, since it is larger than the sum of its proper divisors (52139245915979).

200010120100021 is a wasteful number, since it uses less digits than its factorization.

200010120100021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82810.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 200010120100021 its reverse (120001021010002), we get a palindrome (320011141110023).

It can be divided in two parts, 2000101 and 20100021, that added together give a palindrome (22100122).

The spelling of 200010120100021 in words is "two hundred trillion, ten billion, one hundred twenty million, one hundred thousand, twenty-one".

Divisors: 1 7 11 77 149 379 563 1043 1639 2653 3941 4169 6193 11473 29183 43351 56471 81701 83887 213377 395297 571907 587209 621181 898711 922757 1493639 2347147 4348267 6290977 6459299 12173449 16430029 30964679 31793173 45997663 85214143 133907939 216752753 222552211 321983641 340611469 349724903 505974293 937355573 2384280283 2448074321 3541820051 4613737171 6853651787 17433114277 32296160197 47975562509 50751108881 75390169657 122031799939 191764257047 355257762167 527731187599 1342349799329 2597534027273 18182738190911 28572874300003 200010120100021