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101023444240 = 2451262793053
BaseRepresentation
bin101111000010101110…
…1110110110100010000
3100122202111102200210221
41132011131312310100
53123344000203430
6114224243002424
710204312051645
oct1360535666420
9318674380727
10101023444240
1139931111994
12176b4669414
1396ac867954
144c64d51dcc
152963eec57a
hex1785776d10

101023444240 has 20 divisors (see below), whose sum is σ = 234879508044. Its totient is φ = 40409377664.

The previous prime is 101023444217. The next prime is 101023444241. The reversal of 101023444240 is 42444320101.

It can be written as a sum of positive squares in 2 ways, for example, as 11588953104 + 89434491136 = 107652^2 + 299056^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1010234442402 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101023444241) 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 3 ways as a sum of consecutive naturals, for example, 631396447 + ... + 631396606.

Almost surely, 2101023444240 is an apocalyptic number.

101023444240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101023444240 is an abundant number, since it is smaller than the sum of its proper divisors (133856063804).

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

101023444240 is a wasteful number, since it uses less digits than its factorization.

101023444240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262793066 (or 1262793060 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 101023444240 its reverse (42444320101), we get a palindrome (143467764341).

The spelling of 101023444240 in words is "one hundred one billion, twenty-three million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1262793053 2525586106 5051172212 6313965265 10102344424 12627930530 20204688848 25255861060 50511722120 101023444240