Search a number
-
+
121022101002 = 23113182172047
BaseRepresentation
bin111000010110101111…
…0101011011000001010
3102120101020102201111010
41300231132223120022
53440323124213002
6131332523344350
711513016612465
oct1605536533012
9376336381433
10121022101002
11473639037a0
121b5560820b6
13b548b9206a
145c00da82dc
153234aa046c
hex1c2d7ab60a

121022101002 has 64 divisors (see below), whose sum is σ = 272901685248. Its totient is φ = 35446632000.

The previous prime is 121022100973. The next prime is 121022101003. The reversal of 121022101002 is 200101220121.

It is not an unprimeable number, because it can be changed into a prime (121022101003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1643743 + ... + 1715789.

It is an arithmetic number, because the mean of its divisors is an integer number (4264088832).

Almost surely, 2121022101002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121022101002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136450842624).

121022101002 is an abundant number, since it is smaller than the sum of its proper divisors (151879584246).

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

121022101002 is a wasteful number, since it uses less digits than its factorization.

121022101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72915.

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

Adding to 121022101002 its reverse (200101220121), we get a palindrome (321123321123).

The spelling of 121022101002 in words is "one hundred twenty-one billion, twenty-two million, one hundred one thousand, two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 821 1023 1642 2046 2463 4926 9031 18062 25451 27093 50902 54186 72047 76353 144094 152706 216141 279961 432282 559922 792517 839883 1585034 1679766 2233457 2377551 4466914 4755102 6700371 13400742 24568027 49136054 59150587 73704081 118301174 147408162 177451761 354903522 650656457 1301312914 1833668197 1951969371 3667336394 3903938742 5501004591 11002009182 20170350167 40340700334 60511050501 121022101002