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101408141 = 10129941
BaseRepresentation
bin1100000101101…
…01110110001101
321001211001211002
412002311312031
5201430030031
614021310045
72340645362
oct602656615
9231731732
10101408141
115227348a
1229b65325
1318017723
14d67a469
158d81ccb
hex60b5d8d

101408141 has 6 divisors (see below), whose sum is σ = 102432426. Its totient is φ = 100394000.

The previous prime is 101408137. The next prime is 101408143. The reversal of 101408141 is 141804101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 31685641 + 69722500 = 5629^2 + 8350^2 .

It is not a de Polignac number, because 101408141 - 22 = 101408137 is a prime.

It is a super-2 number, since 2×1014081412 = 20567222122151762, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101408143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5231 + ... + 15171.

It is an arithmetic number, because the mean of its divisors is an integer number (17072071).

Almost surely, 2101408141 is an apocalyptic number.

It is an amenable number.

101408141 is a deficient number, since it is larger than the sum of its proper divisors (1024285).

101408141 is an frugal number, since it uses more digits than its factorization.

101408141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10143 (or 10042 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 101408141 is about 10070.1609222495. The cubic root of 101408141 is about 466.3274068810.

It can be divided in two parts, 10140 and 8141, that added together give a palindrome (18281).

The spelling of 101408141 in words is "one hundred one million, four hundred eight thousand, one hundred forty-one".

Divisors: 1 101 9941 10201 1004041 101408141