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1002110011021 = 719532295231187
BaseRepresentation
bin11101001010100100110…
…10010100011010001101
310112210121202210002110101
432211102122110122031
5112404310130323041
62044210223211101
7132254135356450
oct16452232243215
93483552702411
101002110011021
11356aa0a81459
12142270746a91
1373663480282
143670677b497
151b101b09b31
hexe95269468d

1002110011021 has 64 divisors (see below), whose sum is σ = 1237055846400. Its totient is φ = 792715113216.

The previous prime is 1002110010991. The next prime is 1002110011031. The reversal of 1002110011021 is 1201100112001.

It is not a de Polignac number, because 1002110011021 - 221 = 1002107913869 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002110010989 and 1002110011007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002110011031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 844236990 + ... + 844238176.

It is an arithmetic number, because the mean of its divisors is an integer number (19328997600).

Almost surely, 21002110011021 is an apocalyptic number.

It is an amenable number.

1002110011021 is a deficient number, since it is larger than the sum of its proper divisors (234945835379).

1002110011021 is a wasteful number, since it uses less digits than its factorization.

1002110011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1002110011021 its reverse (1201100112001), we get a palindrome (2203210123022).

The spelling of 1002110011021 in words is "one trillion, two billion, one hundred ten million, eleven thousand, twenty-one".

Divisors: 1 7 19 53 133 229 371 523 1007 1187 1603 3661 4351 7049 8309 9937 12137 22553 27719 30457 62911 69559 84959 119767 157871 194033 230603 271823 440377 526661 620801 838369 1195309 1614221 1902761 2275573 3686627 4345607 5164637 6347651 8367163 11795219 14406619 15929011 32902453 36152459 44433557 82566533 100846333 120605369 142163429 230317171 273725761 625146607 844237583 995144003 1916080327 2701105151 4376026249 7534661737 18907736057 52742632159 143158573003 1002110011021