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100214340040 = 2359192726179
BaseRepresentation
bin101110101010100111…
…1010111100111001000
3100120200002221221111201
41131111033113213020
53120214332340130
6114012101033544
710145255556403
oct1352517274710
9316602857451
10100214340040
1139556422a31
12175096b58b4
1395b1047b79
144bc96d6d3a
152917e77bca
hex17553d79c8

100214340040 has 32 divisors (see below), whose sum is σ = 225727704000. Its totient is φ = 40042102464.

The previous prime is 100214340029. The next prime is 100214340053. The reversal of 100214340040 is 40043412001.

100214340040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1326330 + ... + 1399849.

It is an arithmetic number, because the mean of its divisors is an integer number (7053990750).

Almost surely, 2100214340040 is an apocalyptic number.

100214340040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100214340040 is an abundant number, since it is smaller than the sum of its proper divisors (125513363960).

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

100214340040 is a wasteful number, since it uses less digits than its factorization.

100214340040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727109 (or 2727105 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 100214340040 its reverse (40043412001), we get a palindrome (140257752041).

The spelling of 100214340040 in words is "one hundred billion, two hundred fourteen million, three hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 919 1838 3676 4595 7352 9190 18380 36760 2726179 5452358 10904716 13630895 21809432 27261790 54523580 109047160 2505358501 5010717002 10021434004 12526792505 20042868008 25053585010 50107170020 100214340040