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100212011000 = 2353826912119
BaseRepresentation
bin101110101010100011…
…0011110111111111000
3100120122221120121122222
41131111012132333320
53120213233323000
6114011535103212
710145230016243
oct1352506367770
9316587517588
10100212011000
1139555082102
1217508971b08
1395b0710a3a
144bc928c25a
152917b67a85
hex175519eff8

100212011000 has 64 divisors (see below), whose sum is σ = 234543816000. Its totient is φ = 40076649600.

The previous prime is 100212010981. The next prime is 100212011017. The reversal of 100212011000 is 110212001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8262941 + ... + 8275059.

It is an arithmetic number, because the mean of its divisors is an integer number (3664747125).

Almost surely, 2100212011000 is an apocalyptic number.

100212011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212011000 is an abundant number, since it is smaller than the sum of its proper divisors (134331805000).

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

100212011000 is a wasteful number, since it uses less digits than its factorization.

100212011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20409 (or 20395 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100212011000 its reverse (110212001), we get a palindrome (100322223001).

The spelling of 100212011000 in words is "one hundred billion, two hundred twelve million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 8269 12119 16538 24238 33076 41345 48476 60595 66152 82690 96952 121190 165380 206725 242380 302975 330760 413450 484760 605950 826900 1033625 1211900 1514875 1653800 2067250 2423800 3029750 4134500 6059500 8269000 12119000 100212011 200424022 400848044 501060055 801696088 1002120110 2004240220 2505300275 4008480440 5010600550 10021201100 12526501375 20042402200 25053002750 50106005500 100212011000