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2120011211201 = 1323294312744771
BaseRepresentation
bin11110110110011010100…
…000111110000111000001
321111200010020010001100012
4132312122200332013001
5234213240332224301
64301530353434305
7306110565653132
oct36663240760701
97450106101305
102120011211201
11748101073064
122a2a5756b995
13124bbab75690
14748754b3c89
153a22de49ebb
hex1ed9a83e1c1

2120011211201 has 64 divisors (see below), whose sum is σ = 2541731512320. Its totient is φ = 1751333633280.

The previous prime is 2120011211177. The next prime is 2120011211207. The reversal of 2120011211201 is 1021121100212.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2120011211201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2120011211207) 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, 47329946 + ... + 47374716.

It is an arithmetic number, because the mean of its divisors is an integer number (39714554880).

Almost surely, 22120011211201 is an apocalyptic number.

It is an amenable number.

2120011211201 is a deficient number, since it is larger than the sum of its proper divisors (421720301119).

2120011211201 is a wasteful number, since it uses less digits than its factorization.

2120011211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45006.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2120011211201 its reverse (1021121100212), we get a palindrome (3141132311413).

The spelling of 2120011211201 in words is "two trillion, one hundred twenty billion, eleven million, two hundred eleven thousand, two hundred one".

Divisors: 1 13 23 29 43 127 299 377 559 667 989 1247 1651 2921 3683 5461 8671 12857 16211 28681 37973 44771 47879 70993 84709 125603 158369 372853 582023 1029733 1101217 1298359 1632839 1925153 2058797 3642487 5685917 13386529 16878667 25026989 29862257 44278519 47352331 55829437 73916921 130776091 164891593 244494431 388209341 575620747 725782681 1284077051 1700089183 2143590709 3178427603 3792506639 5623371913 7090338499 16693001663 49302586307 73103834869 92174400487 163077785477 2120011211201