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10114451020 = 2252331370249
BaseRepresentation
bin10010110101101111…
…00100011001001100
3222002220010100102001
421122313210121030
5131203244413040
64351351442044
7505434262252
oct113267443114
928086110361
1010114451020
114320386833
121b63386324
13c5262077b
146bd4365d2
153e2e6959a
hex25ade464c

10114451020 has 48 divisors (see below), whose sum is σ = 22234968000. Its totient is φ = 3857458176.

The previous prime is 10114450999. The next prime is 10114451021. The reversal of 10114451020 is 2015441101.

10114451020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10114451021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108856 + ... + 179104.

It is an arithmetic number, because the mean of its divisors is an integer number (463228500).

Almost surely, 210114451020 is an apocalyptic number.

10114451020 is a gapful number since it is divisible by the number (10) 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 10114451020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11117484000).

10114451020 is an abundant number, since it is smaller than the sum of its proper divisors (12120516980).

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

10114451020 is a wasteful number, since it uses less digits than its factorization.

10114451020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70594 (or 70592 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 10114451020 its reverse (2015441101), we get a palindrome (12129892121).

The spelling of 10114451020 in words is "ten billion, one hundred fourteen million, four hundred fifty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 313 460 626 1252 1565 3130 6260 7199 14398 28796 35995 70249 71990 140498 143980 280996 351245 702490 1404980 1615727 3231454 6462908 8078635 16157270 21987937 32314540 43975874 87951748 109939685 219879370 439758740 505722551 1011445102 2022890204 2528612755 5057225510 10114451020