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2141154120 = 233579772609
BaseRepresentation
bin111111110011111…
…0110101101001000
312112012221220021110
41333213312231020
513341113412440
6552244210320
7104026336560
oct17747665510
95465856243
102141154120
119a9697866
124b90999a0
13281799b01
1416451dda0
15c7e96080
hex7f9f6b48

2141154120 has 128 divisors (see below), whose sum is σ = 7351430400. Its totient is φ = 488718336.

The previous prime is 2141154109. The next prime is 2141154139. The reversal of 2141154120 is 214511412.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 819376 + ... + 821984.

It is an arithmetic number, because the mean of its divisors is an integer number (57433050).

Almost surely, 22141154120 is an apocalyptic number.

2141154120 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 2141154120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3675715200).

2141154120 is an abundant number, since it is smaller than the sum of its proper divisors (5210276280).

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

2141154120 is a wasteful number, since it uses less digits than its factorization.

2141154120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3607 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 2141154120 is about 46272.6065831611. The cubic root of 2141154120 is about 1288.8903624086.

Adding to 2141154120 its reverse (214511412), we get a palindrome (2355665532).

The spelling of 2141154120 in words is "two billion, one hundred forty-one million, one hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 977 1954 2609 2931 3908 4885 5218 5862 6839 7816 7827 9770 10436 11724 13045 13678 14655 15654 18263 19540 20517 20872 23448 26090 27356 29310 31308 34195 36526 39080 39135 41034 52180 54712 54789 58620 62616 68390 73052 78270 82068 91315 102585 104360 109578 117240 136780 146104 156540 164136 182630 205170 219156 273560 273945 313080 365260 410340 438312 547890 730520 820680 1095780 2191560 2548993 5097986 7646979 10195972 12744965 15293958 17842951 20391944 25489930 30587916 35685902 38234895 50979860 53528853 61175832 71371804 76469790 89214755 101959720 107057706 142743608 152939580 178429510 214115412 267644265 305879160 356859020 428230824 535288530 713718040 1070577060 2141154120