Search a number
-
+
1225311515000 = 2354811302173
BaseRepresentation
bin10001110101001010010…
…000011111000101111000
311100010202001210022000222
4101311022100133011320
5130033414221440000
62334522250115212
7154345235013266
oct21651220370570
94303661708028
101225311515000
11432719451a31
1217958241bb08
138b714521311
144343c001436
1521d16de3a85
hex11d4a41f178

1225311515000 has 80 divisors (see below), whose sum is σ = 2874454348920. Its totient is φ = 489518640000.

The previous prime is 1225311514991. The next prime is 1225311515009. The reversal of 1225311515000 is 5151135221.

It is an interprime number because it is at equal distance from previous prime (1225311514991) and next prime (1225311515009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225311515009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3903914 + ... + 4206086.

Almost surely, 21225311515000 is an apocalyptic number.

1225311515000 is a gapful number since it is divisible by the number (10) 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 1225311515000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437227174460).

1225311515000 is an abundant number, since it is smaller than the sum of its proper divisors (1649142833920).

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

1225311515000 is an equidigital number, since it uses as much as digits as its factorization.

1225311515000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303010 (or 302991 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 26.

The spelling of 1225311515000 in words is "one trillion, two hundred twenty-five billion, three hundred eleven million, five hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 811 1000 1250 1622 2500 3244 4055 5000 6488 8110 16220 20275 32440 40550 81100 101375 162200 202750 302173 405500 506875 604346 811000 1013750 1208692 1510865 2027500 2417384 3021730 4055000 6043460 7554325 12086920 15108650 30217300 37771625 60434600 75543250 151086500 188858125 245062303 302173000 377716250 490124606 755432500 980249212 1225311515 1510865000 1960498424 2450623030 4901246060 6126557575 9802492120 12253115150 24506230300 30632787875 49012460600 61265575750 122531151500 153163939375 245062303000 306327878750 612655757500 1225311515000