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15010112000 = 29531318041
BaseRepresentation
bin11011111101010110…
…00010001000000000
31102202002011200202002
431332223002020000
5221220042041000
610521234443132
71040651563322
oct157653021000
942662150662
1015010112000
1164028a9344
122aaaa334a8
1315529798a0
14a256d7612
155ccb608d5
hex37eac2200

15010112000 has 160 divisors (see below), whose sum is σ = 40310013744. Its totient is φ = 5541888000.

The previous prime is 15010111997. The next prime is 15010112027. The reversal of 15010112000 is 21101051.

It can be written as a sum of positive squares in 8 ways, for example, as 1379082496 + 13631029504 = 37136^2 + 116752^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 822980 + ... + 841020.

Almost surely, 215010112000 is an apocalyptic number.

15010112000 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 15010112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20155006872).

15010112000 is an abundant number, since it is smaller than the sum of its proper divisors (25299901744).

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

15010112000 is an equidigital number, since it uses as much as digits as its factorization.

15010112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18087 (or 18061 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 11.

Adding to 15010112000 its reverse (21101051), we get a palindrome (15031213051).

The spelling of 15010112000 in words is "fifteen billion, ten million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 200 208 250 256 260 320 325 400 416 500 512 520 640 650 800 832 1000 1040 1280 1300 1600 1625 1664 2000 2080 2560 2600 3200 3250 3328 4000 4160 5200 6400 6500 6656 8000 8320 10400 12800 13000 16000 16640 18041 20800 26000 32000 33280 36082 41600 52000 64000 72164 83200 90205 104000 144328 166400 180410 208000 234533 288656 360820 416000 451025 469066 577312 721640 832000 902050 938132 1154624 1172665 1443280 1804100 1876264 2255125 2309248 2345330 2886560 3608200 3752528 4510250 4618496 4690660 5773120 5863325 7216400 7505056 9020500 9236992 9381320 11546240 11726650 14432800 15010112 18041000 18762640 23092480 23453300 28865600 29316625 30020224 36082000 37525280 46184960 46906600 57731200 58633250 60040448 72164000 75050560 93813200 115462400 117266500 120080896 144328000 150101120 187626400 230924800 234533000 288656000 300202240 375252800 469066000 577312000 600404480 750505600 938132000 1154624000 1501011200 1876264000 3002022400 3752528000 7505056000 15010112000