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10114247250 = 234534710627
BaseRepresentation
bin10010110101101101…
…10010101001010010
3222002212201222220000
421122312302221102
5131203221403000
64351343230430
7505432453212
oct113266625122
928085658800
1010114247250
114320257728
121b632a8416
13c5257bab3
146bd3c2242
153e2e29000
hex25adb2a52

10114247250 has 160 divisors (see below), whose sum is σ = 28888434432. Its totient is φ = 2639498400.

The previous prime is 10114247243. The next prime is 10114247267. The reversal of 10114247250 is 5274241101.

10114247250 is a `hidden beast` number, since 1 + 0 + 1 + 142 + 472 + 50 = 666.

10114247250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 946437 + ... + 957063.

Almost surely, 210114247250 is an apocalyptic number.

10114247250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10114247250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14444217216).

10114247250 is an abundant number, since it is smaller than the sum of its proper divisors (18774187182).

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

10114247250 is a wasteful number, since it uses less digits than its factorization.

10114247250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10703 (or 10684 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 10114247250 its reverse (5274241101), we get a palindrome (15388488351).

The spelling of 10114247250 in words is "ten billion, one hundred fourteen million, two hundred forty-seven thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 47 50 54 75 81 90 94 125 135 141 150 162 225 235 250 270 282 375 405 423 450 470 675 705 750 810 846 1125 1175 1269 1350 1410 2025 2115 2250 2350 2538 3375 3525 3807 4050 4230 5875 6345 6750 7050 7614 10125 10575 10627 11750 12690 17625 19035 20250 21150 21254 31725 31881 35250 38070 52875 53135 63450 63762 95175 95643 105750 106270 158625 159405 190350 191286 265675 286929 317250 318810 475875 478215 499469 531350 573858 797025 860787 951750 956430 998938 1328375 1434645 1498407 1594050 1721574 2391075 2497345 2656750 2869290 2996814 3985125 4303935 4495221 4782150 4994690 7173225 7492035 7970250 8607870 8990442 11955375 12486725 13485663 14346450 14984070 21519675 22476105 23910750 24973450 26971326 35866125 37460175 40456989 43039350 44952210 62433625 67428315 71732250 74920350 80913978 107598375 112380525 124867250 134856630 187300875 202284945 215196750 224761050 337141575 374601750 404569890 561902625 674283150 1011424725 1123805250 1685707875 2022849450 3371415750 5057123625 10114247250