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5130254100 = 22352711072251
BaseRepresentation
bin1001100011100100…
…10111011100010100
3111020112110220121010
410301302113130110
541001321112400
62205023052220
7241063304016
oct46162273424
914215426533
105130254100
1121a2992924
12bb2141070
13639b35c1a
143694ca1b6
152005d5450
hex131c97714

5130254100 has 144 divisors (see below), whose sum is σ = 15200027136. Its totient is φ = 1335600000.

The previous prime is 5130254083. The next prime is 5130254111. The reversal of 5130254100 is 14520315.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2277975 + ... + 2280225.

It is an arithmetic number, because the mean of its divisors is an integer number (105555744).

Almost surely, 25130254100 is an apocalyptic number.

5130254100 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 5130254100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7600013568).

5130254100 is an abundant number, since it is smaller than the sum of its proper divisors (10069773036).

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

5130254100 is a wasteful number, since it uses less digits than its factorization.

5130254100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 5130254100 is about 71625.7921422165. The cubic root of 5130254100 is about 1724.6975987445.

Adding to 5130254100 its reverse (14520315), we get a palindrome (5144774415).

The spelling of 5130254100 in words is "five billion, one hundred thirty million, two hundred fifty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 107 142 150 213 214 284 300 321 355 426 428 535 642 710 852 1065 1070 1284 1420 1605 1775 2130 2140 2251 2675 3210 3550 4260 4502 5325 5350 6420 6753 7100 7597 8025 9004 10650 10700 11255 13506 15194 16050 21300 22510 22791 27012 30388 32100 33765 37985 45020 45582 56275 67530 75970 91164 112550 113955 135060 151940 159821 168825 189925 225100 227910 240857 319642 337650 379850 455820 479463 481714 569775 639284 675300 722571 759700 799105 958926 963428 1139550 1204285 1445142 1598210 1917852 2279100 2397315 2408570 2890284 3196420 3612855 3995525 4794630 4817140 6021425 7225710 7991050 9589260 11986575 12042850 14451420 15982100 17100847 18064275 23973150 24085700 34201694 36128550 47946300 51302541 68403388 72257100 85504235 102605082 171008470 205210164 256512705 342016940 427521175 513025410 855042350 1026050820 1282563525 1710084700 2565127050 5130254100