Search a number
-
+
101310030 = 23255367317
BaseRepresentation
bin1100000100111…
…01111001001110
321001122002020100
412002131321032
5201413410110
614015231530
72340056343
oct602357116
9231562210
10101310030
11522067a8
1229b185a6
1317cb1b83
14d6527ca
158d62bc0
hex609de4e

101310030 has 96 divisors (see below), whose sum is σ = 273240864. Its totient is φ = 26028288.

The previous prime is 101310019. The next prime is 101310091. The reversal of 101310030 is 30013101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101309994 and 101310021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319432 + ... + 319748.

It is an arithmetic number, because the mean of its divisors is an integer number (2846259).

Almost surely, 2101310030 is an apocalyptic number.

101310030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101310030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136620432).

101310030 is an abundant number, since it is smaller than the sum of its proper divisors (171930834).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101310030 is a wasteful number, since it uses less digits than its factorization.

101310030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 101310030 is about 10065.2883714278. The cubic root of 101310030 is about 466.1769698764.

Adding to 101310030 its reverse (30013101), we get a palindrome (131323131).

The spelling of 101310030 in words is "one hundred one million, three hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 67 90 106 134 159 201 265 317 318 335 402 477 530 603 634 670 795 951 954 1005 1206 1585 1590 1902 2010 2385 2853 3015 3170 3551 4755 4770 5706 6030 7102 9510 10653 14265 16801 17755 21239 21306 28530 31959 33602 35510 42478 50403 53265 63717 63918 84005 100806 106195 106530 127434 151209 159795 168010 191151 212390 252015 302418 318585 319590 382302 504030 637170 756045 955755 1125667 1512090 1911510 2251334 3377001 5628335 6754002 10131003 11256670 16885005 20262006 33770010 50655015 101310030