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101006070 = 23511307997
BaseRepresentation
bin1100000010100…
…11101011110110
321001001122021120
412001103223312
5201324143240
614004524410
72334352224
oct601235366
9231048246
10101006070
11520193a0
12299b0706
1317c06709
14d5b3b14
158d02ad0
hex6053af6

101006070 has 64 divisors (see below), whose sum is σ = 265579776. Its totient is φ = 24382080.

The previous prime is 101006069. The next prime is 101006089. The reversal of 101006070 is 70600101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100812 + ... + 101808.

It is an arithmetic number, because the mean of its divisors is an integer number (4149684).

Almost surely, 2101006070 is an apocalyptic number.

101006070 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 101006070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132789888).

101006070 is an abundant number, since it is smaller than the sum of its proper divisors (164573706).

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

101006070 is a wasteful number, since it uses less digits than its factorization.

101006070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325.

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

The square root of 101006070 is about 10050.1776103709. The cubic root of 101006070 is about 465.7102799822.

Adding to 101006070 its reverse (70600101), we get a palindrome (171606171).

The spelling of 101006070 in words is "one hundred one million, six thousand, seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 307 330 614 921 997 1535 1842 1994 2991 3070 3377 4605 4985 5982 6754 9210 9970 10131 10967 14955 16885 20262 21934 29910 32901 33770 50655 54835 65802 101310 109670 164505 306079 329010 612158 918237 1530395 1836474 3060790 3366869 4591185 6733738 9182370 10100607 16834345 20201214 33668690 50503035 101006070