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2121073152 = 29311472671
BaseRepresentation
bin111111001101101…
…0000001000000000
312110211011200100220
41332123100020000
513320443320102
6550245543040
7103363552512
oct17633201000
95424150326
102121073152
11999321720
124b2414a80
1327a588893
141619b3bb2
15c632b1bc
hex7e6d0200

2121073152 has 160 divisors (see below), whose sum is σ = 6297882624. Its totient is φ = 628838400.

The previous prime is 2121073147. The next prime is 2121073177. The reversal of 2121073152 is 2513701212.

It is a super-2 number, since 2×21210731522 = 8997902632270430208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 792777 + ... + 795447.

Almost surely, 22121073152 is an apocalyptic number.

2121073152 is a gapful number since it is divisible by the number (22) 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 2121073152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148941312).

2121073152 is an abundant number, since it is smaller than the sum of its proper divisors (4176809472).

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

2121073152 is a wasteful number, since it uses less digits than its factorization.

2121073152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2750 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 2121073152 is about 46055.1099445002. The cubic root of 2121073152 is about 1284.8483829451.

Adding to 2121073152 its reverse (2513701212), we get a palindrome (4634774364).

The spelling of 2121073152 in words is "two billion, one hundred twenty-one million, seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 64 66 88 94 96 128 132 141 176 188 192 256 264 282 352 376 384 512 517 528 564 704 752 768 1034 1056 1128 1408 1504 1536 1551 2068 2112 2256 2671 2816 3008 3102 4136 4224 4512 5342 5632 6016 6204 8013 8272 8448 9024 10684 12032 12408 16026 16544 16896 18048 21368 24064 24816 29381 32052 33088 36096 42736 49632 58762 64104 66176 72192 85472 88143 99264 117524 125537 128208 132352 170944 176286 198528 235048 251074 256416 264704 341888 352572 376611 397056 470096 502148 512832 683776 705144 753222 794112 940192 1004296 1025664 1367552 1380907 1410288 1506444 1880384 2008592 2051328 2761814 2820576 3012888 3760768 4017184 4102656 4142721 5523628 5641152 6025776 7521536 8034368 8285442 11047256 11282304 12051552 15043072 16068736 16570884 22094512 22564608 24103104 32137472 33141768 44189024 45129216 48206208 64274944 66283536 88378048 96412416 132567072 176756096 192824832 265134144 353512192 530268288 707024384 1060536576 2121073152