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1020201212010 = 235372087440393
BaseRepresentation
bin11101101100010001011…
…10110001100001101010
310121112022120120022201110
432312020232301201222
5113203333002241020
62100401324331150
7133464352135611
oct16661056614152
93545276508643
101020201212010
11363734a95532
1214587b3a3ab6
1375287563326
1437541348878
151b80eeca8e0
hexed88bb186a

1020201212010 has 64 divisors (see below), whose sum is σ = 2515868750592. Its totient is φ = 264573421056.

The previous prime is 1020201211993. The next prime is 1020201212021. The reversal of 1020201212010 is 102121020201.

1020201212010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2096374 + ... + 2536766.

It is an arithmetic number, because the mean of its divisors is an integer number (39310449228).

Almost surely, 21020201212010 is an apocalyptic number.

1020201212010 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 1020201212010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257934375296).

1020201212010 is an abundant number, since it is smaller than the sum of its proper divisors (1495667538582).

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

1020201212010 is a wasteful number, since it uses less digits than its factorization.

1020201212010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442527.

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

Adding to 1020201212010 its reverse (102121020201), we get a palindrome (1122322232211).

The spelling of 1020201212010 in words is "one trillion, twenty billion, two hundred one million, two hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1110 2087 4174 6261 10435 12522 20870 31305 62610 77219 154438 231657 386095 440393 463314 772190 880786 1158285 1321179 2201965 2316570 2642358 4403930 6605895 13211790 16294541 32589082 48883623 81472705 97767246 162945410 244418115 488836230 919100191 1838200382 2757300573 4595500955 5514601146 9191001910 13786502865 27573005730 34006707067 68013414134 102020121201 170033535335 204040242402 340067070670 510100606005 1020201212010