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101101402240 = 275157970941
BaseRepresentation
bin101111000101000011…
…1001111100010000000
3100122221221010101002021
41132022013033202000
53124023424332430
6114240105531224
710206246511516
oct1361207174200
9318857111067
10101101402240
1139971118993
12177167a3b14
1396c2a61747
144c714464b6
15296ac9b07a
hex178a1cf880

101101402240 has 32 divisors (see below), whose sum is σ = 241695541260. Its totient is φ = 40440560640.

The previous prime is 101101402211. The next prime is 101101402261. The reversal of 101101402240 is 42204101101.

It is a happy number.

101101402240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 93327806016 + 7773596224 = 305496^2 + 88168^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 78984831 + ... + 78986110.

Almost surely, 2101101402240 is an apocalyptic number.

101101402240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101402240 is an abundant number, since it is smaller than the sum of its proper divisors (140594139020).

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

101101402240 is an equidigital number, since it uses as much as digits as its factorization.

101101402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157970960 (or 157970948 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101101402240 its reverse (42204101101), we get a palindrome (143305503341).

The spelling of 101101402240 in words is "one hundred one billion, one hundred one million, four hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 157970941 315941882 631883764 789854705 1263767528 1579709410 2527535056 3159418820 5055070112 6318837640 10110140224 12637675280 20220280448 25275350560 50550701120 101101402240