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1001701368 = 2332103293461
BaseRepresentation
bin111011101101001…
…011111111111000
32120210212200221200
4323231023333320
54022413420433
6243221534200
733552215103
oct7355137770
92523780850
101001701368
11474486078
1223b574360
1312c6b4705
149707173a
155ce1a613
hex3bb4bff8

1001701368 has 96 divisors (see below), whose sum is σ = 2754591840. Its totient is φ = 328815360.

The previous prime is 1001701367. The next prime is 1001701369. The reversal of 1001701368 is 8631071001.

It is an interprime number because it is at equal distance from previous prime (1001701367) and next prime (1001701369).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001701361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2172658 + ... + 2173118.

It is an arithmetic number, because the mean of its divisors is an integer number (28693665).

Almost surely, 21001701368 is an apocalyptic number.

1001701368 is a gapful number since it is divisible by the number (18) 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 1001701368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377295920).

1001701368 is an abundant number, since it is smaller than the sum of its proper divisors (1752890472).

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

1001701368 is a wasteful number, since it uses less digits than its factorization.

1001701368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1001701368 is about 31649.6661593768. Note that the first 3 decimals coincide. The cubic root of 1001701368 is about 1000.5668013422.

Adding to 1001701368 its reverse (8631071001), we get a palindrome (9632772369).

The spelling of 1001701368 in words is "one billion, one million, seven hundred one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 206 293 309 412 461 586 618 824 879 922 927 1172 1236 1383 1758 1844 1854 2344 2472 2637 2766 3516 3688 3708 4149 5274 5532 7032 7416 8298 10548 11064 16596 21096 30179 33192 47483 60358 90537 94966 120716 135073 142449 181074 189932 241432 270146 271611 284898 362148 379864 405219 427347 540292 543222 569796 724296 810438 854694 1080584 1086444 1139592 1215657 1620876 1709388 2172888 2431314 3241752 3418776 4862628 9725256 13912519 27825038 41737557 55650076 83475114 111300152 125212671 166950228 250425342 333900456 500850684 1001701368