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2121030144 = 2933712161
BaseRepresentation
bin111111001101100…
…0101101000000000
312110211002111101000
41332123011220000
513320440431034
6550245012000
7103363313232
oct17633055000
95424074330
102121030144
119992a2382
124b23b4000
1327a57212c
141619a2252
15c631d599
hex7e6c5a00

2121030144 has 160 divisors (see below), whose sum is σ = 6369770880. Its totient is φ = 696729600.

The previous prime is 2121030133. The next prime is 2121030167. The reversal of 2121030144 is 4410301212.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 980424 + ... + 982584.

It is an arithmetic number, because the mean of its divisors is an integer number (39811068).

Almost surely, 22121030144 is an apocalyptic number.

2121030144 is a gapful number since it is divisible by the number (24) 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 2121030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3184885440).

2121030144 is an abundant number, since it is smaller than the sum of its proper divisors (4248740736).

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

2121030144 is an equidigital number, since it uses as much as digits as its factorization.

2121030144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2121030144 is about 46054.6430232610. The cubic root of 2121030144 is about 1284.8396987982.

Adding to 2121030144 its reverse (4410301212), we get a palindrome (6531331356).

The spelling of 2121030144 in words is "two billion, one hundred twenty-one million, thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 96 108 128 142 144 192 213 216 256 284 288 384 426 432 512 568 576 639 768 852 864 1136 1152 1278 1536 1704 1728 1917 2161 2272 2304 2556 3408 3456 3834 4322 4544 4608 5112 6483 6816 6912 7668 8644 9088 10224 12966 13632 13824 15336 17288 18176 19449 20448 25932 27264 30672 34576 36352 38898 40896 51864 54528 58347 61344 69152 77796 81792 103728 109056 116694 122688 138304 153431 155592 163584 207456 233388 245376 276608 306862 311184 327168 414912 460293 466776 490752 553216 613724 622368 829824 920586 933552 981504 1106432 1227448 1244736 1380879 1659648 1841172 1867104 2454896 2489472 2761758 3319296 3682344 3734208 4142637 4909792 4978944 5523516 7364688 7468416 8285274 9819584 9957888 11047032 14729376 14936832 16570548 19639168 22094064 29458752 29873664 33141096 39278336 44188128 58917504 66282192 78556672 88376256 117835008 132564384 176752512 235670016 265128768 353505024 530257536 707010048 1060515072 2121030144