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101242411040 = 255632765069
BaseRepresentation
bin101111001001010000…
…1001001100000100000
3100200022202110100210102
41132102201021200200
53124321024123130
6114302104121532
710212611203061
oct1362241114040
9320282410712
10101242411040
1139a33779991
1217755a662a8
139716032cc4
144c86070568
152978351645
hex1792849820

101242411040 has 24 divisors (see below), whose sum is σ = 239185196460. Its totient is φ = 40496964352.

The previous prime is 101242411013. The next prime is 101242411043. The reversal of 101242411040 is 40114242101.

It can be written as a sum of positive squares in 2 ways, for example, as 81679353616 + 19563057424 = 285796^2 + 139868^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (101242411043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 316382375 + ... + 316382694.

Almost surely, 2101242411040 is an apocalyptic number.

101242411040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101242411040 is an abundant number, since it is smaller than the sum of its proper divisors (137942785420).

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

101242411040 is an equidigital number, since it uses as much as digits as its factorization.

101242411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632765084 (or 632765076 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 101242411040 its reverse (40114242101), we get a palindrome (141356653141).

The spelling of 101242411040 in words is "one hundred one billion, two hundred forty-two million, four hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 632765069 1265530138 2531060276 3163825345 5062120552 6327650690 10124241104 12655301380 20248482208 25310602760 50621205520 101242411040