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100311313132 = 225910315127329
BaseRepresentation
bin101110101101100000…
…1010010101011101100
3100120220212102200120201
41131123001102223230
53120414144010012
6114025443323244
710150544043652
oct1353301225354
9316825380521
10100311313132
11395a6137288
1217536080524
1395c816b9b4
144bd853add2
152921730857
hex175b052aec

100311313132 has 48 divisors (see below), whose sum is σ = 181453708800. Its totient is φ = 48501734400.

The previous prime is 100311313057. The next prime is 100311313133. The reversal of 100311313132 is 231313113001.

It is not an unprimeable number, because it can be changed into a prime (100311313133) 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 15 ways as a sum of consecutive naturals, for example, 3656844 + ... + 3684172.

It is an arithmetic number, because the mean of its divisors is an integer number (3780285600).

Almost surely, 2100311313132 is an apocalyptic number.

It is an amenable number.

100311313132 is a deficient number, since it is larger than the sum of its proper divisors (81142395668).

100311313132 is a wasteful number, since it uses less digits than its factorization.

100311313132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27646 (or 27644 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 100311313132 its reverse (231313113001), we get a palindrome (331624426133).

The spelling of 100311313132 in words is "one hundred billion, three hundred eleven million, three hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 4 59 103 118 151 206 236 302 412 604 6077 8909 12154 15553 17818 24308 27329 31106 35636 54658 62212 109316 917627 1612411 1835254 2814887 3224822 3670508 4126679 5629774 6449644 8253358 11259548 16506716 166078333 243474061 332156666 425047937 486948122 664313332 850095874 973896244 1700191748 25077828283 50155656566 100311313132