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101007060 = 223571121863
BaseRepresentation
bin1100000010100…
…11111011010100
321001001200122020
412001103323110
5201324211220
614004533140
72334355140
oct601237324
9231050566
10101007060
115201a110
12299b11b0
1317c06cbb
14d5b4220
158d03040
hex6053ed4

101007060 has 96 divisors (see below), whose sum is σ = 352622592. Its totient is φ = 20987520.

The previous prime is 101007041. The next prime is 101007061. The reversal of 101007060 is 60700101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101007061) 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 31 ways as a sum of consecutive naturals, for example, 6312 + ... + 15551.

It is an arithmetic number, because the mean of its divisors is an integer number (3673152).

Almost surely, 2101007060 is an apocalyptic number.

101007060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101007060 is an abundant number, since it is smaller than the sum of its proper divisors (251615532).

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

101007060 is a wasteful number, since it uses less digits than its factorization.

101007060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21893 (or 21891 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 101007060 is about 10050.2268631111. The cubic root of 101007060 is about 465.7118015134.

Adding to 101007060 its reverse (60700101), we get a palindrome (161707161).

The spelling of 101007060 in words is "one hundred one million, seven thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 21863 43726 65589 87452 109315 131178 153041 218630 240493 262356 306082 327945 437260 459123 480986 612164 655890 721479 765205 918246 961972 1202465 1311780 1442958 1530410 1683451 1836492 2295615 2404930 2885916 3060820 3366902 3607395 4591230 4809860 5050353 6733804 7214790 8417255 9182460 10100706 14429580 16834510 20201412 25251765 33669020 50503530 101007060