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2141031312 = 243372273119
BaseRepresentation
bin111111110011101…
…1000101110010000
312112012201122211000
41333213120232100
513341101000222
6552241422000
7104025315540
oct17747305620
95465648730
102141031312
119a9613572
124b903a900
13281755c44
141644cb320
15c7e6e9ac
hex7f9d8b90

2141031312 has 160 divisors (see below), whose sum is σ = 7056691200. Its totient is φ = 608833152.

The previous prime is 2141031287. The next prime is 2141031313. The reversal of 2141031312 is 2131301412.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2141031313) 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, 684889 + ... + 688007.

It is an arithmetic number, because the mean of its divisors is an integer number (44104320).

Almost surely, 22141031312 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 2141031312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528345600).

2141031312 is an abundant number, since it is smaller than the sum of its proper divisors (4915659888).

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

2141031312 is a wasteful number, since it uses less digits than its factorization.

2141031312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2141031312 is about 46271.2795587068. The cubic root of 2141031312 is about 1288.8657200794.

Adding to 2141031312 its reverse (2131301412), we get a palindrome (4272332724).

The spelling of 2141031312 in words is "two billion, one hundred forty-one million, thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 227 252 336 378 432 454 504 681 756 908 1008 1362 1512 1589 1816 2043 2724 3024 3119 3178 3632 4086 4767 5448 6129 6238 6356 8172 9357 9534 10896 12258 12476 12712 14301 16344 18714 19068 21833 24516 24952 25424 28071 28602 32688 37428 38136 42903 43666 49032 49904 56142 57204 65499 74856 76272 84213 85806 87332 98064 112284 114408 130998 149712 168426 171612 174664 196497 224568 228816 261996 336852 343224 349328 392994 449136 523992 589491 673704 686448 708013 785988 1047984 1178982 1347408 1416026 1571976 2124039 2357964 2832052 3143952 4248078 4715928 4956091 5664104 6372117 8496156 9431856 9912182 11328208 12744234 14868273 16992312 19116351 19824364 25488468 29736546 33984624 38232702 39648728 44604819 50976936 59473092 76465404 79297456 89209638 101953872 118946184 133814457 152930808 178419276 237892368 267628914 305861616 356838552 535257828 713677104 1070515656 2141031312