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100010066070 = 23543197393539
BaseRepresentation
bin101110100100100010…
…0001000000010010110
3100120010212120202022010
41131021010020002112
53114310034103240
6113535522445050
710140225351435
oct1351104100226
9316125522263
10100010066070
1139461090972
1217471203786
13957a9253b5
144baa52111c
152905077280
hex1749108096

100010066070 has 64 divisors (see below), whose sum is σ = 246853474560. Its totient is φ = 25916838528.

The previous prime is 100010066069. The next prime is 100010066111. The reversal of 100010066070 is 70660010001.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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, 57361 + ... + 450899.

It is an arithmetic number, because the mean of its divisors is an integer number (3857085540).

Almost surely, 2100010066070 is an apocalyptic number.

100010066070 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 100010066070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123426737280).

100010066070 is an abundant number, since it is smaller than the sum of its proper divisors (146843408490).

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

100010066070 is a wasteful number, since it uses less digits than its factorization.

100010066070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393789.

The product of its (nonzero) digits is 252, while the sum is 21.

Adding to 100010066070 its reverse (70660010001), we get a palindrome (170670076071).

The spelling of 100010066070 in words is "one hundred billion, ten million, sixty-six thousand, seventy".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 197 215 258 394 430 591 645 985 1182 1290 1970 2955 5910 8471 16942 25413 42355 50826 84710 127065 254130 393539 787078 1180617 1967695 2361234 3935390 5903085 11806170 16922177 33844354 50766531 77527183 84610885 101533062 155054366 169221770 232581549 253832655 387635915 465163098 507665310 775271830 1162907745 2325815490 3333668869 6667337738 10001006607 16668344345 20002013214 33336688690 50005033035 100010066070