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2102004021012 = 2237892511120187
BaseRepresentation
bin11110100101101001001…
…100111111011100010100
321102221122021102000020020
4132211221030333130110
5233414401012133022
64245351453105140
7304602422243310
oct36455114773424
97387567360206
102102004021012
1174050051a5a5
1229b470a881b0
131232ab2c845c
1473a47b34b40
1539a2812135c
hex1e96933f714

2102004021012 has 96 divisors (see below), whose sum is σ = 5690913500160. Its totient is φ = 591458208000.

The previous prime is 2102004021011. The next prime is 2102004021041. The reversal of 2102004021012 is 2101204002012.

It is a junction number, because it is equal to n+sod(n) for n = 2102004020982 and 2102004021000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102004021011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1316383 + ... + 2436569.

It is an arithmetic number, because the mean of its divisors is an integer number (59280348960).

Almost surely, 22102004021012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102004021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845456750080).

2102004021012 is an abundant number, since it is smaller than the sum of its proper divisors (3588909479148).

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

2102004021012 is a wasteful number, since it uses less digits than its factorization.

2102004021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120541 (or 1120539 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2102004021012 its reverse (2101204002012), we get a palindrome (4203208023024).

The spelling of 2102004021012 in words is "two trillion, one hundred two billion, four million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 178 251 267 356 502 534 623 753 1004 1068 1246 1506 1757 1869 2492 3012 3514 3738 5271 7028 7476 10542 21084 22339 44678 67017 89356 134034 156373 268068 312746 469119 625492 938238 1120187 1876476 2240374 3360561 4480748 6721122 7841309 13442244 15682618 23523927 31365236 47047854 94095708 99696643 199393286 281166937 299089929 398786572 562333874 598179858 697876501 843500811 1124667748 1196359716 1395753002 1687001622 1968168559 2093629503 2791506004 3374003244 3936337118 4187259006 5904505677 7872674236 8374518012 11809011354 23618022708 25023857393 50047714786 75071572179 100095429572 150143144358 175167001751 300286288716 350334003502 525501005253 700668007004 1051002010506 2102004021012