Search a number
-
+
101431089 = 3341591553
BaseRepresentation
bin1100000101110…
…11011100110001
321001212020022000
412002323130301
5201431243324
614022004213
72341102314
oct602733461
9231766260
10101431089
1152289751
1229b76669
1318024cc6
14d68497b
158d889c9
hex60bb731

101431089 has 32 divisors (see below), whose sum is σ = 156643200. Its totient is φ = 64811520.

The previous prime is 101431087. The next prime is 101431103. The reversal of 101431089 is 980134101.

It is not a de Polignac number, because 101431089 - 21 = 101431087 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101431087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64537 + ... + 66089.

It is an arithmetic number, because the mean of its divisors is an integer number (4895100).

Almost surely, 2101431089 is an apocalyptic number.

It is an amenable number.

101431089 is a deficient number, since it is larger than the sum of its proper divisors (55212111).

101431089 is a wasteful number, since it uses less digits than its factorization.

101431089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 101431089 is about 10071.3002636204. The cubic root of 101431089 is about 466.3625798435.

The spelling of 101431089 in words is "one hundred one million, four hundred thirty-one thousand, eighty-nine".

Divisors: 1 3 9 27 41 59 123 177 369 531 1107 1553 1593 2419 4659 7257 13977 21771 41931 63673 65313 91627 191019 274881 573057 824643 1719171 2473929 3756707 11270121 33810363 101431089