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1002150140100 = 223526475163061
BaseRepresentation
bin11101001010101001100…
…11011001100011000100
310112210201120021212012120
432211110303121203010
5112404400413440400
62044214215245540
7132255133433034
oct16452463314304
93483646255176
101002150140100
1135701169aa8a
121422820798b0
137366b8907a5
143670bc258c4
151b1053d4ca0
hexe954cd98c4

1002150140100 has 72 divisors (see below), whose sum is σ = 2904036504768. Its totient is φ = 266826940800.

The previous prime is 1002150140099. The next prime is 1002150140111. The reversal of 1002150140100 is 10410512001.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1002150140100.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2387431 + ... + 2775630.

It is an arithmetic number, because the mean of its divisors is an integer number (40333840344).

Almost surely, 21002150140100 is an apocalyptic number.

1002150140100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002150140100 is an abundant number, since it is smaller than the sum of its proper divisors (1901886364668).

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

1002150140100 is a wasteful number, since it uses less digits than its factorization.

1002150140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5163725 (or 5163718 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 1002150140100 its reverse (10410512001), we get a palindrome (1012560652101).

The spelling of 1002150140100 in words is "one trillion, two billion, one hundred fifty million, one hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 647 1294 1941 2588 3235 3882 6470 7764 9705 12940 16175 19410 32350 38820 48525 64700 97050 194100 5163061 10326122 15489183 20652244 25815305 30978366 51630610 61956732 77445915 103261220 129076525 154891830 258153050 309783660 387229575 516306100 774459150 1548918300 3340500467 6681000934 10021501401 13362001868 16702502335 20043002802 33405004670 40086005604 50107507005 66810009340 83512511675 100215014010 167025023350 200430028020 250537535025 334050046700 501075070050 1002150140100