Search a number
-
+
101474749 = 3159109509
BaseRepresentation
bin1100000110001…
…10000110111101
321001221110012001
412003012012331
5201434142444
614022542301
72341343515
oct603060675
9231843161
10101474749
1152309532
1229b97991
131803bb3c
14d696845
158d968d4
hex60c61bd

101474749 has 16 divisors (see below), whose sum is σ = 107712000. Its totient is φ = 95463360.

The previous prime is 101474743. The next prime is 101474759. The reversal of 101474749 is 947474101.

It is a cyclic number.

It is not a de Polignac number, because 101474749 - 27 = 101474621 is a prime.

It is a super-2 number, since 2×1014747492 = 20594249369226002, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101474743) 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 15 ways as a sum of consecutive naturals, for example, 199107 + ... + 199615.

It is an arithmetic number, because the mean of its divisors is an integer number (6732000).

Almost surely, 2101474749 is an apocalyptic number.

It is an amenable number.

101474749 is a deficient number, since it is larger than the sum of its proper divisors (6237251).

101474749 is a wasteful number, since it uses less digits than its factorization.

101474749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708.

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 101474749 is about 10073.4675757656. The cubic root of 101474749 is about 466.4294839511.

The spelling of 101474749 in words is "one hundred one million, four hundred seventy-four thousand, seven hundred forty-nine".

Divisors: 1 31 59 109 509 1829 3379 6431 15779 30031 55481 199361 930961 1719911 3273379 101474749