Search a number
-
+
1072107065020 = 225115346492067
BaseRepresentation
bin11111001100111101000…
…11111000111010111100
310210111021222120212011211
433212132203320322330
5120031133402040040
62140304051054204
7140312545456255
oct17463643707274
93714258525154
101072107065020
11383750541112
121539465a1364
137a13a105a14
1439c66c27b2c
151cd4bd378ea
hexf99e8f8ebc

1072107065020 has 24 divisors (see below), whose sum is σ = 2253377551824. Its totient is φ = 428470880256.

The previous prime is 1072107064961. The next prime is 1072107065069. The reversal of 1072107065020 is 205607012701.

It is a super-2 number, since 2×10721070650202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23222974 + ... + 23269093.

It is an arithmetic number, because the mean of its divisors is an integer number (93890731326).

Almost surely, 21072107065020 is an apocalyptic number.

1072107065020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1072107065020 is an abundant number, since it is smaller than the sum of its proper divisors (1181270486804).

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

1072107065020 is a wasteful number, since it uses less digits than its factorization.

1072107065020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46493229 (or 46493227 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 31.

The spelling of 1072107065020 in words is "one trillion, seventy-two billion, one hundred seven million, sixty-five thousand, twenty".

Divisors: 1 2 4 5 10 20 1153 2306 4612 5765 11530 23060 46492067 92984134 185968268 232460335 464920670 929841340 53605353251 107210706502 214421413004 268026766255 536053532510 1072107065020