Search a number
-
+
201323232020001 = 3713337117935029
BaseRepresentation
bin101101110001101000110111…
…101110101100011000100001
3222101211022110012010101222210
4231301220313232230120201
5202341434434344120001
61552102341015552333
760256060240024020
oct5561506756543041
9871738405111883
10201323232020001
1159169780a97a73
121a6b595b08b6a9
138844912531000
1437a014c8168b7
151841d2c855dd6
hexb71a37bac621

201323232020001 has 64 divisors (see below), whose sum is σ = 341313411622400. Its totient is φ = 103322406290688.

The previous prime is 201323232019963. The next prime is 201323232020063. The reversal of 201323232020001 is 100020232323102.

It is a happy number.

It is not a de Polignac number, because 201323232020001 - 29 = 201323232019489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 201323232020001.

It is not an unprimeable number, because it can be changed into a prime (201323232020201) 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, 57260446 + ... + 60674583.

It is an arithmetic number, because the mean of its divisors is an integer number (5333022056600).

Almost surely, 2201323232020001 is an apocalyptic number.

201323232020001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201323232020001 is a deficient number, since it is larger than the sum of its proper divisors (139990179602399).

201323232020001 is a wasteful number, since it uses less digits than its factorization.

201323232020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117935115 (or 117935089 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 201323232020001 its reverse (100020232323102), we get a palindrome (301343464343103).

The spelling of 201323232020001 in words is "two hundred one trillion, three hundred twenty-three billion, two hundred thirty-two million, twenty thousand, one".

Divisors: 1 3 7 13 21 37 39 91 111 169 259 273 481 507 777 1183 1443 2197 3367 3549 6253 6591 10101 15379 18759 43771 46137 81289 131313 243867 569023 1707069 117935029 353805087 825545203 1533155377 2476635609 4363596073 4599466131 10732087639 13090788219 19931019901 30545172511 32196262917 56726748949 59793059703 91635517533 139517139307 170180246847 259103258713 397087242643 418551417921 737447736337 777309776139 1191261727929 1813722810991 2212343209011 5162134154359 5441168432973 9586820572381 15486402463077 28760461717143 67107744006667 201323232020001