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2311032132032 = 261367304113633
BaseRepresentation
bin100001101000010100001…
…111111101000111000000
322011221011210200020210212
4201220110033331013000
5300330443211211112
64525401251013252
7325652350001561
oct41502417750700
98157153606725
102311032132032
11811115432178
12313a87b9a228
13139c10b5ab50
147dbd6c68168
15401ade76522
hex21a143fd1c0

2311032132032 has 112 divisors (see below), whose sum is σ = 5014448423712. Its totient is φ = 1050287800320.

The previous prime is 2311032132007. The next prime is 2311032132037. The reversal of 2311032132032 is 2302312301132.

It is a junction number, because it is equal to n+sod(n) for n = 2311032131989 and 2311032132007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2311032132037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169510688 + ... + 169524320.

It is an arithmetic number, because the mean of its divisors is an integer number (44771860926).

Almost surely, 22311032132032 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 2311032132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507224211856).

2311032132032 is an abundant number, since it is smaller than the sum of its proper divisors (2703416291680).

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

2311032132032 is a wasteful number, since it uses less digits than its factorization.

2311032132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16766 (or 16756 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 2311032132032 its reverse (2302312301132), we get a palindrome (4613344433164).

The spelling of 2311032132032 in words is "two trillion, three hundred eleven billion, thirty-two million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 67 104 134 208 268 416 536 832 871 1072 1742 2144 3041 3484 4288 6082 6968 12164 13633 13936 24328 27266 27872 39533 48656 54532 55744 79066 97312 109064 158132 177229 194624 203747 218128 316264 354458 407494 436256 632528 708916 814988 872512 913411 1265056 1417832 1629976 1826822 2530112 2648711 2835664 3259952 3653644 5297422 5671328 6519904 7307288 10594844 11342656 11874343 13039808 14614576 21189688 23748686 29229152 41457953 42379376 47497372 58458304 82915906 84758752 94994744 165831812 169517504 189989488 331663624 379978976 538953389 663327248 759957952 1077906778 1326654496 2155813556 2653308992 2777682851 4311627112 5555365702 8623254224 11110731404 17246508448 22221462808 34493016896 36109877063 44442925616 72219754126 88885851232 144439508252 177771702464 288879016504 577758033008 1155516066016 2311032132032