Search a number
-
+
101330541 = 3313253419
BaseRepresentation
bin1100000101000…
…10111001101101
321001200010101000
412002202321231
5201420034131
614015510513
72340203214
oct602427155
9231603330
10101330541
1152220154
1229b28439
1317cbb300
14d65a07b
158d68ce6
hex60a2e6d

101330541 has 48 divisors (see below), whose sum is σ = 166017600. Its totient is φ = 61034688.

The previous prime is 101330519. The next prime is 101330549. The reversal of 101330541 is 145033101.

It is not a de Polignac number, because 101330541 - 210 = 101329517 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101330549) 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 47 ways as a sum of consecutive naturals, for example, 241630 + ... + 242048.

It is an arithmetic number, because the mean of its divisors is an integer number (3458700).

Almost surely, 2101330541 is an apocalyptic number.

It is an amenable number.

101330541 is a deficient number, since it is larger than the sum of its proper divisors (64687059).

101330541 is a wasteful number, since it uses less digits than its factorization.

101330541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 101330541 is about 10066.3072176444. The cubic root of 101330541 is about 466.2084281325.

Adding to 101330541 its reverse (145033101), we get a palindrome (246363642).

The spelling of 101330541 in words is "one hundred one million, three hundred thirty thousand, five hundred forty-one".

Divisors: 1 3 9 13 27 39 53 117 159 169 351 419 477 507 689 1257 1431 1521 2067 3771 4563 5447 6201 8957 11313 16341 18603 22207 26871 49023 66621 70811 80613 147069 199863 212433 241839 288691 599589 637299 866073 1911897 2598219 3752983 7794657 11258949 33776847 101330541