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20111001002001 = 3371324115356821
BaseRepresentation
bin1001001001010011101010…
…00100100010000000010001
32122012121000020102122122000
410210221311010202000101
510113444312224031001
6110434511042504213
74143654231665340
oct444516504420021
978177006378560
1020111001002001
116454033855828
122309791665069
13b2b5c7cabc00
144d754036db57
1524d1eecaba86
hex124a75122011

20111001002001 has 96 divisors (see below), whose sum is σ = 37770410845440. Its totient is φ = 10349268134400.

The previous prime is 20111001001943. The next prime is 20111001002033. The reversal of 20111001002001 is 10020010011102.

It is a happy number.

It is not a de Polignac number, because 20111001002001 - 27 = 20111001001873 is a prime.

It is a super-2 number, since 2×201110010020012 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (20111001001001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6368830 + ... + 8987991.

It is an arithmetic number, because the mean of its divisors is an integer number (393441779640).

Almost surely, 220111001002001 is an apocalyptic number.

20111001002001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20111001002001 is a deficient number, since it is larger than the sum of its proper divisors (17659409843439).

20111001002001 is a wasteful number, since it uses less digits than its factorization.

20111001002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15356904 (or 15356885 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20111001002001 its reverse (10020010011102), we get a palindrome (30131011013103).

The spelling of 20111001002001 in words is "twenty trillion, one hundred eleven billion, one million, two thousand, one".

Divisors: 1 3 7 9 13 21 27 39 41 63 91 117 123 169 189 273 287 351 369 507 533 819 861 1107 1183 1521 1599 2457 2583 3549 3731 4563 4797 6929 7749 10647 11193 14391 20787 31941 33579 48503 62361 100737 145509 187083 436527 1309581 15356821 46070463 107497747 138211389 199638673 322493241 414634167 598916019 629629661 967479723 1397470711 1796748057 1888888983 2595302749 2902439169 4192412133 4407407627 5390244171 5666666949 7785908247 8185185593 12577236399 13222222881 17000000847 18167119243 23357724741 24555556779 37731709197 39666668643 54501357729 57296299151 70073174223 73666670337 106407412709 119000005929 163504073187 171888897453 221000011011 319222238127 490512219561 515666692359 744851888963 957666714381 1547000077077 2234555666889 2873000143143 6703667000667 20111001002001