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100314331140 = 22357921163361
BaseRepresentation
bin101110101101100110…
…0110011100000000100
3100120221002010000111210
41131123030303200010
53120420432044030
6114030032131420
710150611513552
oct1353314634004
9316832100453
10100314331140
11395a7908801
1217537096b70
1395c89875ba
144bd8ac4bd2
152921b29bb0
hex175b333804

100314331140 has 48 divisors (see below), whose sum is σ = 284435585280. Its totient is φ = 26411873280.

The previous prime is 100314331133. The next prime is 100314331147. The reversal of 100314331140 is 41133413001.

It is an interprime number because it is at equal distance from previous prime (100314331133) and next prime (100314331147).

It is not an unprimeable number, because it can be changed into a prime (100314331147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10576941 + ... + 10586420.

It is an arithmetic number, because the mean of its divisors is an integer number (5925741360).

Almost surely, 2100314331140 is an apocalyptic number.

100314331140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100314331140 is an abundant number, since it is smaller than the sum of its proper divisors (184121254140).

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

100314331140 is a wasteful number, since it uses less digits than its factorization.

100314331140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21163452 (or 21163450 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 100314331140 its reverse (41133413001), we get a palindrome (141447744141).

The spelling of 100314331140 in words is "one hundred billion, three hundred fourteen million, three hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 4740 21163361 42326722 63490083 84653444 105816805 126980166 211633610 253960332 317450415 423267220 634900830 1269801660 1671905519 3343811038 5015716557 6687622076 8359527595 10031433114 16719055190 20062866228 25078582785 33438110380 50157165570 100314331140