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2121024312 = 2333111752511
BaseRepresentation
bin111111001101100…
…0100001100111000
312110211002012101000
41332123010030320
513320440234222
6550244525000
7103363260231
oct17633041470
95424065330
102121024312
11999298a60
124b23b0760
1327a56c594
141619a0088
15c631b9ac
hex7e6c4338

2121024312 has 128 divisors (see below), whose sum is σ = 6805555200. Its totient is φ = 604915200.

The previous prime is 2121024277. The next prime is 2121024383. The reversal of 2121024312 is 2134201212.

It is a happy number.

2121024312 is a `hidden beast` number, since 21 + 210 + 2 + 431 + 2 = 666.

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

It is a congruent number.

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, 14137 + ... + 66647.

It is an arithmetic number, because the mean of its divisors is an integer number (53168400).

Almost surely, 22121024312 is an apocalyptic number.

2121024312 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 2121024312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402777600).

2121024312 is an abundant number, since it is smaller than the sum of its proper divisors (4684530888).

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

2121024312 is a wasteful number, since it uses less digits than its factorization.

2121024312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52554 (or 52544 counting only the distinct ones).

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

The square root of 2121024312 is about 46054.5797071258. The cubic root of 2121024312 is about 1284.8385211956.

Adding to 2121024312 its reverse (2134201212), we get a palindrome (4255225524).

Subtracting 2121024312 from its reverse (2134201212), we obtain a square (13176900 = 36302).

The spelling of 2121024312 in words is "two billion, one hundred twenty-one million, twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 27 33 34 36 44 51 54 66 68 72 88 99 102 108 132 136 153 187 198 204 216 264 297 306 374 396 408 459 561 594 612 748 792 918 1122 1188 1224 1496 1683 1836 2244 2376 3366 3672 4488 5049 6732 10098 13464 20196 40392 52511 105022 157533 210044 315066 420088 472599 577621 630132 892687 945198 1155242 1260264 1417797 1732863 1785374 1890396 2310484 2678061 2835594 3465726 3570748 3780792 4620968 5198589 5356122 5671188 6931452 7141496 8034183 9819557 10397178 10712244 11342376 13862904 15595767 16068366 19639114 20794356 21424488 24102549 29458671 31191534 32136732 39278228 41588712 48205098 58917342 62383068 64273464 78556456 88376013 96410196 117834684 124766136 176752026 192820392 235669368 265128039 353504052 530256078 707008104 1060512156 2121024312