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1312101021 = 371117477109
BaseRepresentation
bin100111000110101…
…0001001010011101
310101102221122020010
41032031101022131
510141344213041
6334110513433
744341450260
oct11615211235
93342848203
101312101021
11613712a10
12307505879
1317bab3c4a
14c6390cd7
157a2d0a16
hex4e35129d

1312101021 has 64 divisors (see below), whose sum is σ = 2358927360. Its totient is φ = 627778560.

The previous prime is 1312101017. The next prime is 1312101029. The reversal of 1312101021 is 1201012131.

It is not a de Polignac number, because 1312101021 - 22 = 1312101017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1312100988 and 1312101006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312101029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 181015 + ... + 188123.

It is an arithmetic number, because the mean of its divisors is an integer number (36858240).

Almost surely, 21312101021 is an apocalyptic number.

1312101021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1312101021 is a deficient number, since it is larger than the sum of its proper divisors (1046826339).

1312101021 is a wasteful number, since it uses less digits than its factorization.

1312101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7194.

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1312101021 is about 36222.9350136071. The cubic root of 1312101021 is about 1094.7688317497.

Adding to 1312101021 its reverse (1201012131), we get a palindrome (2513113152).

It can be divided in two parts, 131210 and 1021, that added together give a palindrome (132231).

The spelling of 1312101021 in words is "one billion, three hundred twelve million, one hundred one thousand, twenty-one".

Divisors: 1 3 7 11 17 21 33 47 51 77 119 141 187 231 329 357 517 561 799 987 1309 1551 2397 3619 3927 5593 7109 8789 10857 16779 21327 26367 49763 61523 78199 120853 149289 184569 234597 334123 362559 547393 845971 1002369 1329383 1642179 2338861 2537913 3675353 3988149 5680091 7016583 9305681 11026059 17040273 25727471 27917043 39760637 62481001 77182413 119281911 187443003 437367007 1312101021