Search a number
-
+
10001132201112 = 233133189674029
BaseRepresentation
bin1001000110001001000111…
…1011101010010010011000
31022102002200002200000202220
42101202101323222102120
52302324304320413422
633134242352024040
72051362244034213
oct221422173522230
938362602600686
1010001132201112
113206502442518
121156352b32020
135771448a2000
142680b365077a
15125244539e5c
hex91891eea498

10001132201112 has 64 divisors (see below), whose sum is σ = 27085451484000. Its totient is φ = 3077271430272.

The previous prime is 10001132201017. The next prime is 10001132201117. The reversal of 10001132201112 is 21110223110001.

It is a junction number, because it is equal to n+sod(n) for n = 10001132201091 and 10001132201100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001132201117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94784287 + ... + 94889742.

Almost surely, 210001132201112 is an apocalyptic number.

10001132201112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10001132201112 is an abundant number, since it is smaller than the sum of its proper divisors (17084319282888).

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

10001132201112 is a wasteful number, since it uses less digits than its factorization.

10001132201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189674077 (or 189674047 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10001132201112 its reverse (21110223110001), we get a palindrome (31111355311113).

The spelling of 10001132201112 in words is "ten trillion, one billion, one hundred thirty-two million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 2197 4056 4394 6591 8788 13182 17576 26364 52728 189674029 379348058 569022087 758696116 1138044174 1517392232 2276088348 2465762377 4552176696 4931524754 7397287131 9863049508 14794574262 19726099016 29589148524 32054910901 59178297048 64109821802 96164732703 128219643604 192329465406 256439287208 384658930812 416713841713 769317861624 833427683426 1250141525139 1666855366852 2500283050278 3333710733704 5000566100556 10001132201112