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100100001020010 = 235101189591742513
BaseRepresentation
bin10110110000101001011001…
…000000001011100001101010
3111010102110121011212200201120
4112300221121000023201222
5101110014300230120020
6552521150003400110
730040662224606445
oct2660513100134152
9433373534780646
10100100001020010
1129993198a79662
12b288073983036
1343b150ac21a34
141aa0c1a05a65c
15b88c6db5b740
hex5b0a5900b86a

100100001020010 has 64 divisors (see below), whose sum is σ = 242631552591360. Its totient is φ = 26427633996800.

The previous prime is 100100001019957. The next prime is 100100001020017. The reversal of 100100001020010 is 10020100001001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (100100001020017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56574514 + ... + 58317026.

It is an arithmetic number, because the mean of its divisors is an integer number (3791118009240).

Almost surely, 2100100001020010 is an apocalyptic number.

100100001020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100001020010 is an abundant number, since it is smaller than the sum of its proper divisors (142531551571350).

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

100100001020010 is a wasteful number, since it uses less digits than its factorization.

100100001020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761583.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100100001020010 its reverse (10020100001001), we get a palindrome (110120101021011).

The spelling of 100100001020010 in words is "one hundred trillion, one hundred billion, one million, twenty thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 101 202 303 505 606 1010 1515 3030 18959 37918 56877 94795 113754 189590 284385 568770 1742513 1914859 3485026 3829718 5227539 5744577 8712565 9574295 10455078 11489154 17425130 19148590 26137695 28722885 52275390 57445770 175993813 351987626 527981439 879969065 1055962878 1759938130 2639907195 5279814390 33036303967 66072607934 99108911901 165181519835 198217823802 330363039670 495544559505 991089119010 3336666700667 6673333401334 10010000102001 16683333503335 20020000204002 33366667006670 50050000510005 100100001020010