Search a number
-
+
1201301115532 = 2272367173160933
BaseRepresentation
bin10001011110110011001…
…000000101001010001100
311020211202201222121221121
4101132303020011022030
5124140231041144112
62315511540010324
7152535235000540
oct21366310051214
94224681877847
101201301115532
11423518186491
121749a13909a4
138938902365b
1442201259a20
15213ae04b407
hex117b320528c

1201301115532 has 96 divisors (see below), whose sum is σ = 2559205942272. Its totient is φ = 482301616896.

The previous prime is 1201301115523. The next prime is 1201301115533. The reversal of 1201301115532 is 2355111031021.

It is a super-2 number, since 2×12013011155322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1201301115497 and 1201301115506.

It is not an unprimeable number, because it can be changed into a prime (1201301115533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7384138 + ... + 7545070.

It is an arithmetic number, because the mean of its divisors is an integer number (26658395232).

Almost surely, 21201301115532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201301115532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279602971136).

1201301115532 is an abundant number, since it is smaller than the sum of its proper divisors (1357904826740).

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

1201301115532 is a wasteful number, since it uses less digits than its factorization.

1201301115532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161207 (or 161205 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 1201301115532 its reverse (2355111031021), we get a palindrome (3556412146553).

The spelling of 1201301115532 in words is "one trillion, two hundred one billion, three hundred one million, one hundred fifteen thousand, five hundred thirty-two".

Divisors: 1 2 4 7 14 23 28 46 67 92 134 161 173 268 322 346 469 644 692 938 1211 1541 1876 2422 3082 3979 4844 6164 7958 10787 11591 15916 21574 23182 27853 43148 46364 55706 81137 111412 160933 162274 266593 321866 324548 533186 643732 1066372 1126531 1866151 2253062 3701459 3732302 4506124 7402918 7464604 10782511 14805836 21565022 25910213 27841409 43130044 51820426 55682818 75477577 103640852 111365636 150955154 194889863 247997753 301910308 389779726 495995506 640352407 779559452 991991012 1280704814 1735984271 1865374403 2561409628 3471968542 3730748806 4482466849 6943937084 7461497612 8964933698 13057620821 17929867396 26115241642 42903611269 52230483284 85807222538 171614445076 300325278883 600650557766 1201301115532