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1051012050 = 235211279733
BaseRepresentation
bin111110101001010…
…010101111010010
32201020122221111020
4332221102233102
54123024341200
6252142500310
735021312034
oct7651225722
92636587436
101051012050
1149a2a5a00
12253b94696
1313998b12a
149d829c54
156240aea0
hex3ea52bd2

1051012050 has 144 divisors (see below), whose sum is σ = 2905230720. Its totient is φ = 251222400.

The previous prime is 1051012021. The next prime is 1051012057. The reversal of 1051012050 is 502101501.

It is a super-2 number, since 2×10510120502 = 2209252658490405000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1051012057) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1433484 + ... + 1434216.

Almost surely, 21051012050 is an apocalyptic number.

1051012050 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 1051012050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452615360).

1051012050 is an abundant number, since it is smaller than the sum of its proper divisors (1854218670).

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

1051012050 is a wasteful number, since it uses less digits than its factorization.

1051012050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 1051012050 is about 32419.3160014211. The cubic root of 1051012050 is about 1016.7228055835.

Adding to 1051012050 its reverse (502101501), we get a palindrome (1553113551).

The spelling of 1051012050 in words is "one billion, fifty-one million, twelve thousand, fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 79 110 121 150 158 165 237 242 275 330 363 395 474 550 605 726 733 790 825 869 1185 1210 1466 1650 1738 1815 1975 2199 2370 2607 3025 3630 3665 3950 4345 4398 5214 5925 6050 7330 8063 8690 9075 9559 10995 11850 13035 16126 18150 18325 19118 21725 21990 24189 26070 28677 36650 40315 43450 47795 48378 54975 57354 57907 65175 80630 88693 95590 109950 115814 120945 130350 143385 173721 177386 201575 238975 241890 266079 286770 289535 347442 403150 443465 477950 532158 579070 604725 636977 716925 868605 886930 1209450 1273954 1330395 1433850 1447675 1737210 1910931 2217325 2660790 2895350 3184885 3821862 4343025 4434650 6369770 6651975 7006747 8686050 9554655 13303950 14013494 15924425 19109310 21020241 31848850 35033735 42040482 47773275 70067470 95546550 105101205 175168675 210202410 350337350 525506025 1051012050