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5010301000 = 235329197877
BaseRepresentation
bin1001010101010001…
…10010000001001000
3110221011202122212201
410222220302001020
540230114113000
62145100045544
7235105566355
oct45250620110
913834678781
105010301000
112141203331
12b79b338b4
1361b027463
143575c362c
151e4cdd96a
hex12aa32048

5010301000 has 128 divisors (see below), whose sum is σ = 12203848800. Its totient is φ = 1922995200.

The previous prime is 5010300973. The next prime is 5010301027. The reversal of 5010301000 is 1030105.

It is an interprime number because it is at equal distance from previous prime (5010300973) and next prime (5010301027).

It can be written as a sum of positive squares in 16 ways, for example, as 464574916 + 4545726084 = 21554^2 + 67422^2 .

It is a super-2 number, since 2×50103010002 = 50206232221202000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5712562 + ... + 5713438.

Almost surely, 25010301000 is an apocalyptic number.

5010301000 is a gapful number since it is divisible by the number (50) 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 5010301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6101924400).

5010301000 is an abundant number, since it is smaller than the sum of its proper divisors (7193547800).

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

5010301000 is a wasteful number, since it uses less digits than its factorization.

5010301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 5010301000 is about 70783.4797110173. The cubic root of 5010301000 is about 1711.1494386510.

Adding to 5010301000 its reverse (1030105), we get a palindrome (5011331105).

The spelling of 5010301000 in words is "five billion, ten million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 197 200 232 250 290 394 500 580 725 788 877 985 1000 1160 1450 1576 1754 1970 2900 3508 3625 3940 4385 4925 5713 5800 7016 7250 7880 8770 9850 11426 14500 17540 19700 21925 22852 24625 25433 28565 29000 35080 39400 43850 45704 49250 50866 57130 87700 98500 101732 109625 114260 127165 142825 172769 175400 197000 203464 219250 228520 254330 285650 345538 438500 508660 571300 635825 691076 714125 863845 877000 1017320 1142600 1271650 1382152 1428250 1727690 2543300 2856500 3179125 3455380 4319225 5010301 5086600 5713000 6358250 6910760 8638450 10020602 12716500 17276900 20041204 21596125 25051505 25433000 34553800 40082408 43192250 50103010 86384500 100206020 125257525 172769000 200412040 250515050 501030100 626287625 1002060200 1252575250 2505150500 5010301000