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1032421403013 = 3711136110752673
BaseRepresentation
bin11110000011000010001…
…11000110100110000101
310122200212020000100100020
433001201013012212011
5113403344334344023
62110142101405353
7134406236062620
oct17014107064605
93580766010306
101032421403013
11368935a6a940
1214810ba09859
1376484201490
1437d802c2db7
151bcc7c42de3
hexf0611c6985

1032421403013 has 128 divisors (see below), whose sum is σ = 1896142639104. Its totient is φ = 482391244800.

The previous prime is 1032421402993. The next prime is 1032421403029. The reversal of 1032421403013 is 3103041242301.

It is a happy number.

It is not a de Polignac number, because 1032421403013 - 222 = 1032417208709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032421403063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19574245 + ... + 19626917.

It is an arithmetic number, because the mean of its divisors is an integer number (14813614368).

Almost surely, 21032421403013 is an apocalyptic number.

1032421403013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1032421403013 is a deficient number, since it is larger than the sum of its proper divisors (863721236091).

1032421403013 is a wasteful number, since it uses less digits than its factorization.

1032421403013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52875.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1032421403013 its reverse (3103041242301), we get a palindrome (4135462645314).

The spelling of 1032421403013 in words is "one trillion, thirty-two billion, four hundred twenty-one million, four hundred three thousand, thirteen".

Divisors: 1 3 7 11 13 21 33 39 61 77 91 107 143 183 231 273 321 427 429 671 749 793 1001 1177 1281 1391 2013 2247 2379 3003 3531 4173 4697 5551 6527 8239 8723 9737 14091 15301 16653 19581 24717 26169 29211 45689 45903 52673 61061 71797 84851 107107 137067 158019 183183 215391 254553 321321 368711 502579 579403 593957 684749 933361 1106133 1507737 1738209 1781871 2054247 2800083 3213053 4055821 4793243 5636011 6533527 7532239 9639159 12167463 14379729 16908033 19600581 22491371 22596717 35343583 39452077 41769689 52725673 61996121 67474113 73268143 106030749 118356231 125309067 158177019 185988363 219804429 247405081 292387823 343796671 433972847 459466579 512877001 742215243 805949573 877163469 1031390013 1301918541 1378399737 1538631003 2406576697 2417848719 3216266053 3781763381 4469356723 5641647011 7219730091 9648798159 11345290143 13408070169 16924941033 26472343667 31285497061 49162923953 79417031001 93856491183 147488771859 344140467671 1032421403013