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1011021331002 = 2323731074012339
BaseRepresentation
bin11101011011001011001…
…00010011101000111010
310120122121211000001100120
432231211210103220322
5113031032430043002
62052242355514110
7133021023343254
oct16554544235072
93518554001316
101011021331002
1135a854203011
12143b38bb8936
1374453751387
1436d100aacd4
151b47411acbc
hexeb65913a3a

1011021331002 has 128 divisors (see below), whose sum is σ = 2165159393280. Its totient is φ = 314047641600.

The previous prime is 1011021330959. The next prime is 1011021331031. The reversal of 1011021331002 is 2001331201101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 432243949 + ... + 432246287.

It is an arithmetic number, because the mean of its divisors is an integer number (16915307760).

Almost surely, 21011021331002 is an apocalyptic number.

1011021331002 is an abundant number, since it is smaller than the sum of its proper divisors (1154138062278).

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

1011021331002 is a wasteful number, since it uses less digits than its factorization.

1011021331002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1011021331002 its reverse (2001331201101), we get a palindrome (3012352532103).

The spelling of 1011021331002 in words is "one trillion, eleven billion, twenty-one million, three hundred thirty-one thousand, two".

Divisors: 1 2 3 6 23 46 69 73 107 138 146 214 219 321 401 438 642 802 1203 1679 2339 2406 2461 3358 4678 4922 5037 7017 7383 7811 9223 10074 14034 14766 15622 18446 23433 27669 29273 42907 46866 53797 55338 58546 85814 87819 107594 128721 161391 170747 175638 179653 250273 257442 322782 341494 359306 500546 512241 538959 673279 750819 937939 986861 1024482 1077918 1346558 1501638 1875878 1973722 2019837 2813817 2960583 3132211 3927181 4039674 5627634 5756279 5921166 6264422 7854362 9396633 11512558 11781543 17268837 18269929 18793266 21572597 23563086 34537674 36539858 43145194 54809787 64717791 68469547 72040853 100359473 109619574 129435582 136939094 144081706 200718946 205408641 216122559 301078419 410817282 420208367 432245118 602156838 840416734 1260625101 1574799581 2308267879 2521250202 3149599162 4616535758 4724398743 6924803637 7326241529 9448797486 13849607274 14652483058 21978724587 43957449174 168503555167 337007110334 505510665501 1011021331002