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20001011233231 = 7217195632244631
BaseRepresentation
bin1001000110000110110010…
…01010110111000111001111
32121211002002212021110212101
410203003121022313013033
510110144032333430411
6110312200540215531
74133011463246500
oct443033112670717
977732085243771
1020001011233231
116411421463586
1222b03b623a5a7
13b21119954bb2
144d20a8690ba7
1524a413a358c1
hex1230d92b71cf

20001011233231 has 48 divisors (see below), whose sum is σ = 25977754632960. Its totient is φ = 15258886997760.

The previous prime is 20001011233213. The next prime is 20001011233243. The reversal of 20001011233231 is 13233211010002.

It is not a de Polignac number, because 20001011233231 - 217 = 20001011102159 is a prime.

It is a super-2 number, since 2×200010112332312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 20001011233199 and 20001011233208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001011233201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7788286 + ... + 10032916.

It is an arithmetic number, because the mean of its divisors is an integer number (541203221520).

Almost surely, 220001011233231 is an apocalyptic number.

20001011233231 is a deficient number, since it is larger than the sum of its proper divisors (5976743399729).

20001011233231 is a wasteful number, since it uses less digits than its factorization.

20001011233231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245244 (or 2245237 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 20001011233231 its reverse (13233211010002), we get a palindrome (33234222243233).

The spelling of 20001011233231 in words is "twenty trillion, one billion, eleven million, two hundred thirty-three thousand, two hundred thirty-one".

Divisors: 1 7 17 19 49 119 133 323 563 833 931 2261 3941 9571 10697 15827 27587 66997 74879 181849 468979 524153 1272943 2244631 8910601 15712417 38158727 42647989 109986919 267111089 298535923 725015813 1263727253 1869777623 2089751461 5075110691 8846090771 21483363301 24010817807 35525774837 61922635397 150383543107 168075724649 408183902719 1052684801749 1176530072543 2857287319033 20001011233231