Search a number
-
+
2102012220128 = 251914629236329
BaseRepresentation
bin11110100101101001101…
…100010001001011100000
321102221122211211120022012
4132211221230101023200
5233414410112021003
64245352344532052
7304602552032402
oct36455154211340
97387584746265
102102012220128
1174050510a727
1229b473781028
131232acc093c2
1473a48c6ab72
1539a28be08d8
hex1e969b112e0

2102012220128 has 48 divisors (see below), whose sum is σ = 4356459954000. Its totient is φ = 995617723392.

The previous prime is 2102012220127. The next prime is 2102012220151. The reversal of 2102012220128 is 8210222102012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102012220127) 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 7 ways as a sum of consecutive naturals, for example, 8776268 + ... + 9012596.

It is an arithmetic number, because the mean of its divisors is an integer number (90759582375).

Almost surely, 22102012220128 is an apocalyptic number.

It is an amenable number.

2102012220128 is an abundant number, since it is smaller than the sum of its proper divisors (2254447733872).

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

2102012220128 is a wasteful number, since it uses less digits than its factorization.

2102012220128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250987 (or 250979 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The spelling of 2102012220128 in words is "two trillion, one hundred two billion, twelve million, two hundred twenty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 14629 29258 58516 117032 234064 236329 277951 468128 472658 555902 945316 1111804 1890632 2223608 3781264 4447216 4490251 7562528 8894432 8980502 17961004 35922008 71844016 143688032 3457256941 6914513882 13829027764 27658055528 55316111056 65687881879 110632222112 131375763758 262751527516 525503055032 1051006110064 2102012220128