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2141123320 = 23574124549
BaseRepresentation
bin111111110011110…
…1111001011111000
312112012220100000201
41333213233023320
513341111421240
6552243411544
7104026151020
oct17747571370
95465810021
102141123320
119a9676706
124b9083bb4
13281788a9b
14164512a80
15c7e8bd9a
hex7f9ef2f8

2141123320 has 96 divisors (see below), whose sum is σ = 5644548000. Its totient is φ = 716037120.

The previous prime is 2141123317. The next prime is 2141123329. The reversal of 2141123320 is 233211412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141123329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 468406 + ... + 472954.

It is an arithmetic number, because the mean of its divisors is an integer number (58797375).

Almost surely, 22141123320 is an apocalyptic number.

2141123320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822274000).

2141123320 is an abundant number, since it is smaller than the sum of its proper divisors (3503424680).

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

2141123320 is a wasteful number, since it uses less digits than its factorization.

2141123320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4649 (or 4604 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2141123320 is about 46272.2737716659. The cubic root of 2141123320 is about 1288.8841822504.

Adding to 2141123320 its reverse (233211412), we get a palindrome (2374334732).

The spelling of 2141123320 in words is "two billion, one hundred forty-one million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 280 287 328 410 574 820 1148 1435 1640 1681 2296 2870 3362 4549 5740 6724 8405 9098 11480 11767 13448 16810 18196 22745 23534 31843 33620 36392 45490 47068 58835 63686 67240 90980 94136 117670 127372 159215 181960 186509 235340 254744 318430 373018 470680 636860 746036 932545 1273720 1305563 1492072 1865090 2611126 3730180 5222252 6527815 7460360 7646869 10444504 13055630 15293738 26111260 30587476 38234345 52222520 53528083 61174952 76468690 107056166 152937380 214112332 267640415 305874760 428224664 535280830 1070561660 2141123320