Search a number
-
+
10210010110212 = 223111013672086723
BaseRepresentation
bin1001010010010011010000…
…0001101001100100000100
31100011001211011022020001110
42110210310001221210010
52314240100042011322
633414225222325020
72102435366002143
oct224446401514404
940131734266043
1010210010110212
11328704a595180
12118a927889770
13590a52294923
1427424a84575a
1512a8bc0c0c0c
hex94934069904

10210010110212 has 96 divisors (see below), whose sum is σ = 26317963413504. Its totient is φ = 3054961008000.

The previous prime is 10210010110189. The next prime is 10210010110247. The reversal of 10210010110212 is 21201101001201.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 3849483 + ... + 5936205.

It is an arithmetic number, because the mean of its divisors is an integer number (274145452224).

Almost surely, 210210010110212 is an apocalyptic number.

10210010110212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10210010110212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13158981706752).

10210010110212 is an abundant number, since it is smaller than the sum of its proper divisors (16107953303292).

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

10210010110212 is a wasteful number, since it uses less digits than its factorization.

10210010110212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087209 (or 2087207 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10210010110212 its reverse (21201101001201), we get a palindrome (31411111111413).

The spelling of 10210010110212 in words is "ten trillion, two hundred ten billion, ten million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 367 404 606 734 1101 1111 1212 1468 2202 2222 3333 4037 4404 4444 6666 8074 12111 13332 16148 24222 37067 48444 74134 111201 148268 222402 407737 444804 815474 1223211 1630948 2086723 2446422 4173446 4892844 6260169 8346892 12520338 22953953 25040676 45907906 68861859 91815812 137723718 210759023 275447436 421518046 632277069 765827341 843036092 1264554138 1531654682 2297482023 2318349253 2529108276 3063309364 4594964046 4636698506 6955047759 8424100751 9189928092 9273397012 13910095518 16848201502 25272302253 27820191036 33696403004 50544604506 77348561441 101089209012 154697122882 232045684323 309394245764 464091368646 850834175851 928182737292 1701668351702 2552502527553 3403336703404 5105005055106 10210010110212