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30313378100 = 22522910452889
BaseRepresentation
bin11100001110110100…
…010111000100110100
32220020120222011022102
4130032310113010310
5444040211044400
621531544521232
72122123314425
oct341664270464
986216864272
1030313378100
11119461256a5
125a5ba80218
132b21298225
141677d0164c
15bc63cb9d5
hex70ed17134

30313378100 has 36 divisors (see below), whose sum is σ = 68048313900. Its totient is φ = 11707234560.

The previous prime is 30313378063. The next prime is 30313378111. The reversal of 30313378100 is 187331303.

It can be written as a sum of positive squares in 6 ways, for example, as 2441743396 + 27871634704 = 49414^2 + 166948^2 .

It is a super-2 number, since 2×303133781002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5223545 + ... + 5229344.

Almost surely, 230313378100 is an apocalyptic number.

It is an amenable number.

30313378100 is an abundant number, since it is smaller than the sum of its proper divisors (37734935800).

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

30313378100 is a wasteful number, since it uses less digits than its factorization.

30313378100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10452932 (or 10452925 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The spelling of 30313378100 in words is "thirty billion, three hundred thirteen million, three hundred seventy-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 10452889 20905778 41811556 52264445 104528890 209057780 261322225 303133781 522644450 606267562 1045288900 1212535124 1515668905 3031337810 6062675620 7578344525 15156689050 30313378100