Search a number
-
+
101023311300 = 22352336744371
BaseRepresentation
bin101111000010101110…
…1010110010111000100
3100122202111011221110020
41132011131112113010
53123343431430200
6114224240055140
710204310656242
oct1360535262704
9318674157406
10101023311300
113993103101a
12176b46044b0
1396ac81c2a2
144c64d19792
152963ec2ea0
hex17857565c4

101023311300 has 36 divisors (see below), whose sum is σ = 292294114896. Its totient is φ = 26939549600.

The previous prime is 101023311287. The next prime is 101023311313. The reversal of 101023311300 is 3113320101.

It is an interprime number because it is at equal distance from previous prime (101023311287) and next prime (101023311313).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101023311300.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 168371886 + ... + 168372485.

Almost surely, 2101023311300 is an apocalyptic number.

101023311300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101023311300 is an abundant number, since it is smaller than the sum of its proper divisors (191270803596).

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

101023311300 is a wasteful number, since it uses less digits than its factorization.

101023311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336744388 (or 336744381 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 101023311300 its reverse (3113320101), we get a palindrome (104136631401).

The spelling of 101023311300 in words is "one hundred one billion, twenty-three million, three hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 336744371 673488742 1010233113 1346977484 1683721855 2020466226 3367443710 4040932452 5051165565 6734887420 8418609275 10102331130 16837218550 20204662260 25255827825 33674437100 50511655650 101023311300