Search a number
-
+
10031253200000 = 275525078133
BaseRepresentation
bin1001000111111001010101…
…0010001001110010000000
31022111222102021122022102022
42101332111102021302000
52303323001304400000
633200143305341012
72053506543224414
oct221762522116200
938458367568368
1010031253200000
113218259a0a82a
12116015a497768
13579c35050886
1426972db94d44
15125e08ab5585
hex91f95489c80

10031253200000 has 96 divisors (see below), whose sum is σ = 24978573808020. Its totient is φ = 4012501120000.

The previous prime is 10031253199973. The next prime is 10031253200027. The reversal of 10031253200000 is 235213001.

It is an interprime number because it is at equal distance from previous prime (10031253199973) and next prime (10031253200027).

It can be written as a sum of positive squares in 6 ways, for example, as 80660544064 + 9950592655936 = 284008^2 + 3154456^2 .

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, 12139067 + ... + 12939066.

Almost surely, 210031253200000 is an apocalyptic number.

10031253200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10031253200000 is an abundant number, since it is smaller than the sum of its proper divisors (14947320608020).

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

10031253200000 is an frugal number, since it uses more digits than its factorization.

10031253200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25078172 (or 25078140 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

Adding to 10031253200000 its reverse (235213001), we get a palindrome (10031488413001).

The spelling of 10031253200000 in words is "ten trillion, thirty-one billion, two hundred fifty-three million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 16000 20000 25000 40000 50000 80000 100000 200000 400000 25078133 50156266 100312532 125390665 200625064 250781330 401250128 501562660 626953325 802500256 1003125320 1253906650 1605000512 2006250640 2507813300 3134766625 3210001024 4012501280 5015626600 6269533250 8025002560 10031253200 12539066500 15673833125 16050005120 20062506400 25078133000 31347666250 40125012800 50156266000 62695332500 78369165625 80250025600 100312532000 125390665000 156738331250 200625064000 250781330000 313476662500 401250128000 501562660000 626953325000 1003125320000 1253906650000 2006250640000 2507813300000 5015626600000 10031253200000