Search a number
-
+
2141320332 = 2232361193659
BaseRepresentation
bin111111110100001…
…1111010010001100
312112020021100021110
41333220133102030
513341134222312
6552251532020
7104030631264
oct17750372214
95466240243
102141320332
119a97a0728
124b915a010
13281827668
141645647a4
15c7eca43c
hex7fa1f48c

2141320332 has 96 divisors (see below), whose sum is σ = 5334658560. Its totient is φ = 667054080.

The previous prime is 2141320303. The next prime is 2141320339. The reversal of 2141320332 is 2330231412.

It is a junction number, because it is equal to n+sod(n) for n = 2141320299 and 2141320308.

It is not an unprimeable number, because it can be changed into a prime (2141320339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3249019 + ... + 3249677.

It is an arithmetic number, because the mean of its divisors is an integer number (55569360).

Almost surely, 22141320332 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 2141320332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667329280).

2141320332 is an abundant number, since it is smaller than the sum of its proper divisors (3193338228).

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

2141320332 is a wasteful number, since it uses less digits than its factorization.

2141320332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2141320332 is about 46274.4025569213. The cubic root of 2141320332 is about 1288.9237125693.

Adding to 2141320332 its reverse (2330231412), we get a palindrome (4471551744).

The spelling of 2141320332 in words is "two billion, one hundred forty-one million, three hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 61 69 92 122 138 183 193 244 276 366 386 579 659 732 772 1158 1318 1403 1977 2316 2636 2806 3954 4209 4439 5612 7908 8418 8878 11773 13317 15157 16836 17756 23546 26634 30314 35319 40199 45471 47092 53268 60628 70638 80398 90942 120597 127187 141276 160796 181884 241194 254374 270779 381561 482388 508748 541558 763122 812337 924577 1083116 1526244 1624674 1849154 2773731 2925301 3249348 3698308 5547462 5850602 7758407 8775903 11094924 11701204 15516814 17551806 23275221 31033628 35103612 46550442 93100884 178443361 356886722 535330083 713773444 1070660166 2141320332