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101400141 = 371587811
BaseRepresentation
bin1100000101100…
…11111001001101
321001210122211210
412002303321031
5201424301031
614021205033
72340613143
oct602637115
9231718753
10101400141
1152268477
1229b60779
1318013bab
14d677593
158d7e746
hex60b3e4d

101400141 has 16 divisors (see below), whose sum is σ = 137507328. Its totient is φ = 66452400.

The previous prime is 101400137. The next prime is 101400151. The reversal of 101400141 is 141004101.

It is not a de Polignac number, because 101400141 - 22 = 101400137 is a prime.

It is a super-4 number, since 4×1014001414 (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101400151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124626 + ... + 125436.

It is an arithmetic number, because the mean of its divisors is an integer number (8594208).

Almost surely, 2101400141 is an apocalyptic number.

It is an amenable number.

101400141 is a deficient number, since it is larger than the sum of its proper divisors (36107187).

101400141 is an equidigital number, since it uses as much as digits as its factorization.

101400141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 101400141 is about 10069.7637012991. The cubic root of 101400141 is about 466.3151438374.

Adding to 101400141 its reverse (141004101), we get a palindrome (242404242).

The spelling of 101400141 in words is "one hundred one million, four hundred thousand, one hundred forty-one".

Divisors: 1 3 71 213 587 811 1761 2433 41677 57581 125031 172743 476057 1428171 33800047 101400141