Search a number
-
+
20011001200101 = 32171937672776817
BaseRepresentation
bin1001000110011001011001…
…00111100011110111100101
32121212000220002011101010100
410203030230213203313211
510110330012301400401
6110320532124014313
74133514156463362
oct443145447436745
977760802141110
1020011001200101
11641568854554a
1222b2323991399
13b2204c53b6b2
144d2775361469
1524a7eaab0b86
hex12332c9e3de5

20011001200101 has 96 divisors (see below), whose sum is σ = 33580393292160. Its totient is φ = 11400851202048.

The previous prime is 20011001200079. The next prime is 20011001200111. The reversal of 20011001200101 is 10100210011002.

It is a happy number.

It is not a de Polignac number, because 20011001200101 - 211 = 20011001198053 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20011001200111) 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, 5818045 + ... + 8594861.

It is an arithmetic number, because the mean of its divisors is an integer number (349795763460).

Almost surely, 220011001200101 is an apocalyptic number.

It is an amenable number.

20011001200101 is a deficient number, since it is larger than the sum of its proper divisors (13569392092059).

20011001200101 is a wasteful number, since it uses less digits than its factorization.

20011001200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776963 (or 2776960 counting only the distinct ones).

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

Adding to 20011001200101 its reverse (10100210011002), we get a palindrome (30111211211103).

The spelling of 20011001200101 in words is "twenty trillion, eleven billion, one million, two hundred thousand, one hundred one".

Divisors: 1 3 9 17 19 37 51 57 67 111 153 171 201 323 333 603 629 703 969 1139 1273 1887 2109 2479 2907 3417 3819 5661 6327 7437 10251 11457 11951 21641 22311 35853 42143 47101 64923 107559 126429 141303 194769 379287 423909 800717 2402151 2776817 7206453 8330451 24991353 47205889 52759523 102742229 141617667 158278569 186046739 308226687 424853001 474835707 558140217 896911891 924680061 1674420651 1746617893 1952102351 2690735673 3162794563 3534888041 5239853679 5856307053 6883729343 8072207019 9488383689 10604664123 15719561037 17568921159 20651188029 28465151067 31813992369 33185739967 60093096697 61953564087 99557219901 117023398831 130790857517 180279290091 298671659703 351070196493 392372572551 540837870273 1053210589479 1177117717653 2223444577789 6670333733367 20011001200101