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1302231040 = 21151121051
BaseRepresentation
bin100110110011110…
…0111100000000000
310100202101012011021
41031213213200000
510131332343130
6333115155224
744161531645
oct11547474000
93322335137
101302231040
11609091500
12304145b14
13179a39616
14c4d41dcc
15794d137a
hex4d9e7800

1302231040 has 144 divisors (see below), whose sum is σ = 3437736120. Its totient is φ = 473088000.

The previous prime is 1302231037. The next prime is 1302231061. The reversal of 1302231040 is 401322031.

It is a happy number.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1238515 + ... + 1239565.

Almost surely, 21302231040 is an apocalyptic number.

1302231040 is a gapful number since it is divisible by the number (10) 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 1302231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718868060).

1302231040 is an abundant number, since it is smaller than the sum of its proper divisors (2135505080).

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

1302231040 is a wasteful number, since it uses less digits than its factorization.

1302231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1302231040 is about 36086.4384499219. The cubic root of 1302231040 is about 1092.0168701299.

Adding to 1302231040 its reverse (401322031), we get a palindrome (1703553071).

Subtracting from 1302231040 its reverse (401322031), we obtain a palindrome (900909009).

The spelling of 1302231040 in words is "one billion, three hundred two million, two hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 128 160 176 220 242 256 320 352 440 484 512 605 640 704 880 968 1024 1051 1210 1280 1408 1760 1936 2048 2102 2420 2560 2816 3520 3872 4204 4840 5120 5255 5632 7040 7744 8408 9680 10240 10510 11264 11561 14080 15488 16816 19360 21020 22528 23122 28160 30976 33632 38720 42040 46244 56320 57805 61952 67264 77440 84080 92488 112640 115610 123904 127171 134528 154880 168160 184976 231220 247808 254342 269056 309760 336320 369952 462440 508684 538112 619520 635855 672640 739904 924880 1017368 1076224 1239040 1271710 1345280 1479808 1849760 2034736 2152448 2543420 2690560 2959616 3699520 4069472 5086840 5381120 5919232 7399040 8138944 10173680 10762240 11838464 14798080 16277888 20347360 23676928 29596160 32555776 40694720 59192320 65111552 81389440 118384640 130223104 162778880 260446208 325557760 651115520 1302231040