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101331001300 = 22521277978819
BaseRepresentation
bin101111001011111001…
…1000101111111010100
3100200112221011012210011
41132113303011333110
53130011214020200
6114314551010004
710215035204524
oct1362763057724
9320487135704
10101331001300
1139a79788081
121777b669904
13972b4b0389
144c93b31684
1529810005ba
hex1797cc5fd4

101331001300 has 36 divisors (see below), whose sum is σ = 221619704320. Its totient is φ = 40213242720.

The previous prime is 101331001207. The next prime is 101331001301. The reversal of 101331001300 is 3100133101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331001301) by changing a digit.

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, 3976710 + ... + 4002109.

Almost surely, 2101331001300 is an apocalyptic number.

101331001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101331001300 is an abundant number, since it is smaller than the sum of its proper divisors (120288703020).

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

101331001300 is a wasteful number, since it uses less digits than its factorization.

101331001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7978960 (or 7978953 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 101331001300 its reverse (3100133101), we get a palindrome (104431134401).

The spelling of 101331001300 in words is "one hundred one billion, three hundred thirty-one million, one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 127 254 508 635 1270 2540 3175 6350 12700 7978819 15957638 31915276 39894095 79788190 159576380 199470475 398940950 797881900 1013310013 2026620026 4053240052 5066550065 10133100130 20266200260 25332750325 50665500650 101331001300