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200125000000 = 26591601
BaseRepresentation
bin1011101001100001100…
…0010010100101000000
3201010120001111100021001
42322120120102211000
511234324000000000
6231534113141344
720313166301332
oct2723030224500
9633501440231
10200125000000
1177966388592
123295155a854
1315b441a6b83
14998693d452
15531441646a
hex2e98612940

200125000000 has 140 divisors (see below), whose sum is σ = 496713816324. Its totient is φ = 80000000000.

The previous prime is 200124999967. The next prime is 200125000037. The reversal of 200125000000 is 521002.

It can be written as a sum of positive squares in 10 ways, for example, as 48473948224 + 151651051776 = 220168^2 + 389424^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 124999200 + ... + 125000800.

Almost surely, 2200125000000 is an apocalyptic number.

200125000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200125000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248356908162).

200125000000 is an abundant number, since it is smaller than the sum of its proper divisors (296588816324).

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

200125000000 is an frugal number, since it uses more digits than its factorization.

200125000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

Adding to 200125000000 its reverse (521002), we get a palindrome (200125521002).

The spelling of 200125000000 in words is "two hundred billion, one hundred twenty-five million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 1601 2000 2500 3125 3202 4000 5000 6250 6404 8000 8005 10000 12500 12808 15625 16010 20000 25000 25616 31250 32020 40000 40025 50000 51232 62500 64040 78125 80050 100000 102464 125000 128080 156250 160100 200000 200125 250000 256160 312500 320200 390625 400250 500000 512320 625000 640400 781250 800500 1000000 1000625 1250000 1280800 1562500 1601000 1953125 2001250 2500000 2561600 3125000 3202000 3906250 4002500 5000000 5003125 6250000 6404000 7812500 8005000 10006250 12500000 12808000 15625000 16010000 20012500 25000000 25015625 31250000 32020000 40025000 50031250 62500000 64040000 80050000 100062500 125000000 125078125 160100000 200125000 250156250 320200000 400250000 500312500 625390625 800500000 1000625000 1250781250 1601000000 2001250000 2501562500 3126953125 4002500000 5003125000 6253906250 8005000000 10006250000 12507812500 20012500000 25015625000 40025000000 50031250000 100062500000 200125000000