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2141130320 = 245729314253
BaseRepresentation
bin111111110011111…
…0000111001010000
312112012220200121222
41333213300321100
513341112132240
6552243504212
7104026210310
oct17747607120
95465820558
102141130320
119a968099a
124b9088068
1328178c024
14164515440
15c7e8deb5
hex7f9f0e50

2141130320 has 160 divisors (see below), whose sum is σ = 6076753920. Its totient is φ = 685762560.

The previous prime is 2141130293. The next prime is 2141130337. The reversal of 2141130320 is 230311412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501314 + ... + 505566.

It is an arithmetic number, because the mean of its divisors is an integer number (37979712).

Almost surely, 22141130320 is an apocalyptic number.

2141130320 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 2141130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038376960).

2141130320 is an abundant number, since it is smaller than the sum of its proper divisors (3935623600).

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

2141130320 is a wasteful number, since it uses less digits than its factorization.

2141130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4333 (or 4327 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2141130320 is about 46272.3494108523. The cubic root of 2141130320 is about 1288.8855868370.

Adding to 2141130320 its reverse (230311412), we get a palindrome (2371441732).

The spelling of 2141130320 in words is "two billion, one hundred forty-one million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 31 35 40 56 58 62 70 80 112 116 124 140 145 155 203 217 232 248 280 290 310 406 434 464 496 560 580 620 812 868 899 1015 1085 1160 1240 1624 1736 1798 2030 2170 2320 2480 3248 3472 3596 4060 4253 4340 4495 6293 7192 8120 8506 8680 8990 12586 14384 16240 17012 17360 17980 21265 25172 29771 31465 34024 35960 42530 50344 59542 62930 68048 71920 85060 100688 119084 123337 125860 131843 148855 170120 238168 246674 251720 263686 297710 340240 476336 493348 503440 527372 595420 616685 659215 863359 922901 986696 1054744 1190840 1233370 1318430 1726718 1845802 1973392 2109488 2381680 2466740 2636860 3453436 3691604 3823447 4316795 4614505 4933480 5273720 6906872 7383208 7646894 8633590 9229010 9866960 10547440 13813744 14766416 15293788 17267180 18458020 19117235 26764129 30587576 34534360 36916040 38234470 53528258 61175152 69068720 73832080 76468940 107056516 133820645 152937880 214113032 267641290 305875760 428226064 535282580 1070565160 2141130320