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1300213002420 = 223257223405569
BaseRepresentation
bin10010111010111010101…
…110111111000010110100
311121022002002011002121200
4102322322232333002310
5132300314012034140
62433150513012500
7162636330111603
oct22727256770264
94538062132550
101300213002420
11461465386052
1218bba6854130
13957c0284a87
1446d05993a3a
1523c4c99c030
hex12ebabbf0b4

1300213002420 has 36 divisors (see below), whose sum is σ = 3943979441220. Its totient is φ = 346723467264.

The previous prime is 1300213002391. The next prime is 1300213002437. The reversal of 1300213002420 is 242003120031.

1300213002420 is a `hidden beast` number, since 1 + 30 + 0 + 213 + 0 + 0 + 2 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 653546130084 + 646666872336 = 808422^2 + 804156^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1300213002393 and 1300213002402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3611702605 + ... + 3611702964.

Almost surely, 21300213002420 is an apocalyptic number.

1300213002420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300213002420 is an abundant number, since it is smaller than the sum of its proper divisors (2643766438800).

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

1300213002420 is a wasteful number, since it uses less digits than its factorization.

1300213002420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7223405584 (or 7223405579 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1300213002420 its reverse (242003120031), we get a palindrome (1542216122451).

The spelling of 1300213002420 in words is "one trillion, three hundred billion, two hundred thirteen million, two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7223405569 14446811138 21670216707 28893622276 36117027845 43340433414 65010650121 72234055690 86680866828 108351083535 130021300242 144468111380 216702167070 260042600484 325053250605 433404334140 650106501210 1300213002420