Search a number
-
+
101120130 = 2335607617
BaseRepresentation
bin1100000011011…
…11100010000010
321001021102202000
412001233202002
5201341321010
614011204430
72335335606
oct601574202
9231242660
10101120130
1152097061
1229a46716
1317c465c7
14d603506
158d267c0
hex606f882

101120130 has 64 divisors (see below), whose sum is σ = 270535680. Its totient is φ = 26877312.

The previous prime is 101120113. The next prime is 101120141. The reversal of 101120130 is 31021101.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163582 + ... + 164198.

It is an arithmetic number, because the mean of its divisors is an integer number (4227120).

Almost surely, 2101120130 is an apocalyptic number.

101120130 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 101120130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135267840).

101120130 is an abundant number, since it is smaller than the sum of its proper divisors (169415550).

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

101120130 is a wasteful number, since it uses less digits than its factorization.

101120130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 101120130 is about 10055.8505358821. The cubic root of 101120130 is about 465.8855134522.

Adding to 101120130 its reverse (31021101), we get a palindrome (132141231).

The spelling of 101120130 in words is "one hundred one million, one hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 607 617 1214 1234 1821 1851 3035 3085 3642 3702 5463 5553 6070 6170 9105 9255 10926 11106 16389 16659 18210 18510 27315 27765 32778 33318 54630 55530 81945 83295 163890 166590 374519 749038 1123557 1872595 2247114 3370671 3745190 5617785 6741342 10112013 11235570 16853355 20224026 33706710 50560065 101120130