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101434144 = 257452831
BaseRepresentation
bin1100000101111…
…00001100100000
321001212101111011
412002330030200
5201431343034
614022030304
72341114240
oct602741440
9231771434
10101434144
1152290a79
1229b78394
1318026506
14d685b20
158d89864
hex60bc320

101434144 has 24 divisors (see below), whose sum is σ = 228227328. Its totient is φ = 43471680.

The previous prime is 101434129. The next prime is 101434171. The reversal of 101434144 is 441434101.

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, 226192 + ... + 226639.

It is an arithmetic number, because the mean of its divisors is an integer number (9509472).

Almost surely, 2101434144 is an apocalyptic number.

101434144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101434144 is an abundant number, since it is smaller than the sum of its proper divisors (126793184).

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

101434144 is an equidigital number, since it uses as much as digits as its factorization.

101434144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452848 (or 452840 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 101434144 is about 10071.4519310773. The cubic root of 101434144 is about 466.3672619168.

Adding to 101434144 its reverse (441434101), we get a palindrome (542868245).

The spelling of 101434144 in words is "one hundred one million, four hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 452831 905662 1811324 3169817 3622648 6339634 7245296 12679268 14490592 25358536 50717072 101434144