Search a number
-
+
100314508700 = 22527143306441
BaseRepresentation
bin101110101101100110…
…1011110110110011100
3100120221002110001002002
41131123031132312130
53120421003234300
6114030040021432
710150613153330
oct1353315366634
9316832401062
10100314508700
11395a7a1a14a
1217537161878
1395c8a1a373
144bd8b2d7c0
152921b625d5
hex175b35ed9c

100314508700 has 36 divisors (see below), whose sum is σ = 248779983312. Its totient is φ = 34393545600.

The previous prime is 100314508673. The next prime is 100314508729. The reversal of 100314508700 is 7805413001.

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 11 ways as a sum of consecutive naturals, for example, 71652521 + ... + 71653920.

It is an arithmetic number, because the mean of its divisors is an integer number (6910555092).

Almost surely, 2100314508700 is an apocalyptic number.

100314508700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100314508700 is an abundant number, since it is smaller than the sum of its proper divisors (148465474612).

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

100314508700 is a wasteful number, since it uses less digits than its factorization.

100314508700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143306462 (or 143306455 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The spelling of 100314508700 in words is "one hundred billion, three hundred fourteen million, five hundred eight thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 143306441 286612882 573225764 716532205 1003145087 1433064410 2006290174 2866128820 3582661025 4012580348 5015725435 7165322050 10031450870 14330644100 20062901740 25078627175 50157254350 100314508700