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2121012344 = 2311172361643
BaseRepresentation
bin111111001101100…
…0001010001111000
312110211001120221202
41332123001101320
513320434343334
6550244353332
7103363210313
oct17633012170
95424046852
102121012344
1199928aa70
124b23a5848
1327a566cb9
1416199997a
15c631817e
hex7e6c1478

2121012344 has 64 divisors (see below), whose sum is σ = 4793437440. Its totient is φ = 867919360.

The previous prime is 2121012329. The next prime is 2121012347. The reversal of 2121012344 is 4432101212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121012347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3587 + ... + 65229.

It is an arithmetic number, because the mean of its divisors is an integer number (74897460).

Almost surely, 22121012344 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 2121012344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396718720).

2121012344 is an abundant number, since it is smaller than the sum of its proper divisors (2672425096).

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

2121012344 is a wasteful number, since it uses less digits than its factorization.

2121012344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61700 (or 61696 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2121012344 is about 46054.4497741532. The cubic root of 2121012344 is about 1284.8361045996.

Adding to 2121012344 its reverse (4432101212), we get a palindrome (6553113556).

The spelling of 2121012344 in words is "two billion, one hundred twenty-one million, twelve thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 17 22 23 34 44 46 68 88 92 136 184 187 253 374 391 506 748 782 1012 1496 1564 2024 3128 4301 8602 17204 34408 61643 123286 246572 493144 678073 1047931 1356146 1417789 2095862 2712292 2835578 4191724 5424584 5671156 8383448 11342312 11527241 15595679 23054482 24102413 31191358 46108964 48204826 62382716 92217928 96409652 124765432 192819304 265126543 530253086 1060506172 2121012344