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1001307120 = 243511379283
BaseRepresentation
bin111011101011101…
…011101111110000
32120210010200010220
4323223223233300
54022313311440
6243205253040
733545653512
oct7353535760
92523120126
101001307120
11474236950
1223b404180
1312c5a7128
1496dabbb2
155cd8d8d0
hex3baebbf0

1001307120 has 80 divisors (see below), whose sum is σ = 3386247552. Its totient is φ = 242740480.

The previous prime is 1001307119. The next prime is 1001307133. The reversal of 1001307120 is 217031001.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1001307120.

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, 187002 + ... + 192281.

Almost surely, 21001307120 is an apocalyptic number.

1001307120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001307120 is an abundant number, since it is smaller than the sum of its proper divisors (2384940432).

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

1001307120 is a wasteful number, since it uses less digits than its factorization.

1001307120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379310 (or 379304 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 1001307120 is about 31643.4372342829. The cubic root of 1001307120 is about 1000.4355169641.

Adding to 1001307120 its reverse (217031001), we get a palindrome (1218338121).

The spelling of 1001307120 in words is "one billion, one million, three hundred seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 379283 758566 1137849 1517132 1896415 2275698 3034264 3792830 4172113 4551396 5689245 6068528 7585660 8344226 9102792 11378490 12516339 15171320 16688452 18205584 20860565 22756980 25032678 30342640 33376904 41721130 45513960 50065356 62581695 66753808 83442260 91027920 100130712 125163390 166884520 200261424 250326780 333769040 500653560 1001307120