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2121131376 = 2432713161869
BaseRepresentation
bin111111001101101…
…1110010101110000
312110211021122020100
41332123132111300
513321002201001
6550251112400
7103364214330
oct17633362560
95424248210
102121131376
11999361441
124b2442700
1327a5a9230
141619cb0c0
15c633d586
hex7e6de570

2121131376 has 120 divisors (see below), whose sum is σ = 7306164320. Its totient is φ = 559415808.

The previous prime is 2121131371. The next prime is 2121131413. The reversal of 2121131376 is 6731311212.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121131371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67831 + ... + 94038.

Almost surely, 22121131376 is an apocalyptic number.

2121131376 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2121131376 is an abundant number, since it is smaller than the sum of its proper divisors (5185032944).

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

2121131376 is a wasteful number, since it uses less digits than its factorization.

2121131376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161903 (or 161894 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 2121131376 is about 46055.7420524303. The cubic root of 2121131376 is about 1284.8601393097.

Adding to 2121131376 its reverse (6731311212), we get a palindrome (8852442588).

The spelling of 2121131376 in words is "two billion, one hundred twenty-one million, one hundred thirty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 161869 323738 485607 647476 971214 1133083 1294952 1456821 1942428 2104297 2266166 2589904 2913642 3399249 3884856 4208594 4532332 5827284 6312891 6798498 7769712 8417188 9064664 10197747 11654568 12625782 13596996 14730079 16834376 18129328 18938673 20395494 23309136 25251564 27193992 29460158 33668752 37877346 40790988 44190237 50503128 54387984 58920316 75754692 81581976 88380474 101006256 117840632 132570711 151509384 163163952 176760948 235681264 265141422 303018768 353521896 530282844 707043792 1060565688 2121131376