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3066100000 = 255530661
BaseRepresentation
bin1011011011000000…
…1111100100100000
321220200102000111021
42312300033210200
522234410200000
61224125055224
7135660264025
oct26660174440
97820360437
103066100000
111333808347
127169b7514
1339b2b8b72
142112d154c
1512e29e11a
hexb6c0f920

3066100000 has 72 divisors (see below), whose sum is σ = 7545243636. Its totient is φ = 1226400000.

The previous prime is 3066099973. The next prime is 3066100013. The reversal of 3066100000 is 16603.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 41616 + 3066058384 = 204^2 + 55372^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 84670 + ... + 115330.

Almost surely, 23066100000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3066100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3772621818).

3066100000 is an abundant number, since it is smaller than the sum of its proper divisors (4479143636).

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

3066100000 is an frugal number, since it uses more digits than its factorization.

3066100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30696 (or 30668 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3066100000 is about 55372.3757843205. The cubic root of 3066100000 is about 1452.7652344805.

Adding to 3066100000 its reverse (16603), we get a palindrome (3066116603).

The spelling of 3066100000 in words is "three billion, sixty-six million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 30661 50000 61322 100000 122644 153305 245288 306610 490576 613220 766525 981152 1226440 1533050 2452880 3066100 3832625 4905760 6132200 7665250 12264400 15330500 19163125 24528800 30661000 38326250 61322000 76652500 95815625 122644000 153305000 191631250 306610000 383262500 613220000 766525000 1533050000 3066100000