Search a number
-
+
201012111020120 = 23547609171755197
BaseRepresentation
bin101101101101000111000111…
…011110010001000001011000
3222100201120101122002001101012
4231231013013132101001120
5202321340300410120440
61551303404453113052
760224434333121231
oct5555070736210130
9870646348061335
10201012111020120
1159059837328984
121a6655b1328788
13882148c6c09ca
14378d076708088
151838bbdba5e65
hexb6d1c7791058

201012111020120 has 64 divisors (see below), whose sum is σ = 461908015620480. Its totient is φ = 78692766378496.

The previous prime is 201012111019963. The next prime is 201012111020129. The reversal of 201012111020120 is 21020111210102.

It is a junction number, because it is equal to n+sod(n) for n = 201012111020095 and 201012111020104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201012111020129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113646362 + ... + 115401558.

It is an arithmetic number, because the mean of its divisors is an integer number (7217312744070).

Almost surely, 2201012111020120 is an apocalyptic number.

201012111020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201012111020120 is an abundant number, since it is smaller than the sum of its proper divisors (260895904600360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201012111020120 is a wasteful number, since it uses less digits than its factorization.

201012111020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816172 (or 1816168 counting only the distinct ones).

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

Adding to 201012111020120 its reverse (21020111210102), we get a palindrome (222032222230222).

The spelling of 201012111020120 in words is "two hundred one trillion, twelve billion, one hundred eleven million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1880 60917 121834 243668 304585 487336 609170 1218340 1755197 2436680 2863099 3510394 5726198 7020788 8775985 11452396 14041576 14315495 17551970 22904792 28630990 35103940 57261980 70207880 82494259 114523960 164988518 329977036 412471295 659954072 824942590 1649885180 3299770360 106921335649 213842671298 427685342596 534606678245 855370685192 1069213356490 2138426712980 4276853425960 5025302775503 10050605551006 20101211102012 25126513877515 40202422204024 50253027755030 100506055510060 201012111020120