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20001101120001 = 3529103191144271
BaseRepresentation
bin1001000110000110111101…
…00001110000001000000001
32121211002100010102012100000
410203003132201300020001
510110144223341320001
6110312213510550213
74133013634261161
oct443033641601001
977732303365300
1020001101120001
116411468177871
1222b0420368369
13b21132467431
144d20b65ac5a1
1524a41b88da86
hex1230de870201

20001101120001 has 96 divisors (see below), whose sum is σ = 31458590392320. Its totient is φ = 12682440993600.

The previous prime is 20001101119999. The next prime is 20001101120003. The reversal of 20001101120001 is 10002110110002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20001101119999) and next prime (20001101120003).

It is not a de Polignac number, because 20001101120001 - 21 = 20001101119999 is a prime.

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 (20001101120003) 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, 138563496 + ... + 138707766.

It is an arithmetic number, because the mean of its divisors is an integer number (327693649920).

Almost surely, 220001101120001 is an apocalyptic number.

It is an amenable number.

20001101120001 is a deficient number, since it is larger than the sum of its proper divisors (11457489272319).

20001101120001 is a wasteful number, since it uses less digits than its factorization.

20001101120001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144609 (or 144597 counting only the distinct ones).

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

Adding to 20001101120001 its reverse (10002110110002), we get a palindrome (30003211230003).

The spelling of 20001101120001 in words is "twenty trillion, one billion, one hundred one million, one hundred twenty thousand, one".

Divisors: 1 3 9 27 29 81 87 103 191 243 261 309 573 783 927 1719 2349 2781 2987 5157 5539 7047 8343 8961 15471 16617 19673 25029 26883 46413 49851 59019 80649 144271 149553 177057 241947 432813 448659 531171 570517 725841 1298439 1345977 1593513 1711551 3895317 4183859 4780539 5134653 11685951 12551577 14859913 15403959 27555761 35057853 37654731 44579739 46211877 82667283 112964193 133739217 138635631 248001849 338892579 401217651 430937477 744005547 799117069 1016677737 1203652953 1292812431 2232016641 2397351207 2838243383 3610958859 3878437293 6696049923 7192053621 8514730149 11635311879 21576160863 25544190447 34905935637 64728482589 76632571341 82309058107 104717806911 194185447767 229897714023 246927174321 689693142069 740781522963 2222344568889 6667033706667 20001101120001