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3120020000 = 2554732137
BaseRepresentation
bin1011100111110111…
…1011101000100000
322001102212102211022
42321331323220200
522342211120000
61233332505012
7140213506136
oct27175735040
98042772738
103120020000
111361196229
12730a7b168
133a95175a6
14218529756
15133da0585
hexb9f7ba20

3120020000 has 120 divisors (see below), whose sum is σ = 7784505036. Its totient is φ = 1230336000.

The previous prime is 3120019999. The next prime is 3120020027. The reversal of 3120020000 is 200213.

It can be written as a sum of positive squares in 10 ways, for example, as 811794064 + 2308225936 = 28492^2 + 48044^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 3120020000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1458932 + ... + 1461068.

Almost surely, 23120020000 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 3120020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3892252518).

3120020000 is an abundant number, since it is smaller than the sum of its proper divisors (4664485036).

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

3120020000 is an equidigital number, since it uses as much as digits as its factorization.

3120020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 3120020000 is about 55857.1392035074. The cubic root of 3120020000 is about 1461.2318370895.

Adding to 3120020000 its reverse (200213), we get a palindrome (3120220213).

The spelling of 3120020000 in words is "three billion, one hundred twenty million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 73 80 100 125 146 160 200 250 292 365 400 500 584 625 730 800 1000 1168 1250 1460 1825 2000 2137 2336 2500 2920 3650 4000 4274 5000 5840 7300 8548 9125 10000 10685 11680 14600 17096 18250 20000 21370 29200 34192 36500 42740 45625 53425 58400 68384 73000 85480 91250 106850 146000 156001 170960 182500 213700 267125 292000 312002 341920 365000 427400 534250 624004 730000 780005 854800 1068500 1248008 1335625 1460000 1560010 1709600 2137000 2496016 2671250 3120020 3900025 4274000 4992032 5342500 6240040 7800050 8548000 10685000 12480080 15600100 19500125 21370000 24960160 31200200 39000250 42740000 62400400 78000500 97500625 124800800 156001000 195001250 312002000 390002500 624004000 780005000 1560010000 3120020000