Search a number
-
+
1132322011312 = 241741142771153
BaseRepresentation
bin10000011110100011101…
…001101011100010110000
311000020201110122001210211
4100132203221223202300
5122022443413330222
62224103114233504
7144543665201452
oct20364351534260
94006643561724
101132322011312
113a724028a538
12163550425894
1382a1525125b
143cb3a0702d2
151e6c3398277
hex107a3a6b8b0

1132322011312 has 80 divisors (see below), whose sum is σ = 2381283025632. Its totient is φ = 519489290240.

The previous prime is 1132322011307. The next prime is 1132322011319. The reversal of 1132322011312 is 2131102232311.

It is a super-2 number, since 2×11323220113122 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1132322011319) 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, 15878328 + ... + 15949480.

Almost surely, 21132322011312 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 1132322011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190641512816).

1132322011312 is an abundant number, since it is smaller than the sum of its proper divisors (1248961014320).

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

1132322011312 is a wasteful number, since it uses less digits than its factorization.

1132322011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72646 (or 72640 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 1132322011312 its reverse (2131102232311), we get a palindrome (3263424243623).

The spelling of 1132322011312 in words is "one trillion, one hundred thirty-two billion, three hundred twenty-two million, eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 272 328 656 697 1394 1427 2788 2854 5576 5708 11152 11416 22832 24259 48518 58507 71153 97036 117014 142306 194072 234028 284612 388144 468056 569224 936112 994619 1138448 1209601 1989238 2419202 2917273 3978476 4838404 5834546 7956952 9676808 11669092 15913904 19353616 23338184 46676368 49593641 99187282 101535331 198374564 203070662 396749128 406141324 793498256 812282648 1624565296 1726100627 3452201254 4162948571 6904402508 8325897142 13808805016 16651794284 27617610032 33303588568 66607177136 70770125707 141540251414 283080502828 566161005656 1132322011312