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2123031312 = 2432611012393
BaseRepresentation
bin111111010001010…
…1110001100010000
312110221212011110100
41332202232030100
513321444000222
6550355532400
7103416316443
oct17642561420
95427764410
102123031312
1199a439936
124b2bba100
1327aac2c5c
14161d6365a
15c65b64ac
hex7e8ae310

2123031312 has 120 divisors (see below), whose sum is σ = 6101281368. Its totient is φ = 688896000.

The previous prime is 2123031283. The next prime is 2123031341. The reversal of 2123031312 is 2131303212.

It is an interprime number because it is at equal distance from previous prime (2123031283) and next prime (2123031341).

It can be written as a sum of positive squares in 4 ways, for example, as 8503056 + 2114528256 = 2916^2 + 45984^2 .

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 23 ways as a sum of consecutive naturals, for example, 885988 + ... + 888380.

Almost surely, 22123031312 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 2123031312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050640684).

2123031312 is an abundant number, since it is smaller than the sum of its proper divisors (3978250056).

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

2123031312 is a wasteful number, since it uses less digits than its factorization.

2123031312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2123031312 is about 46076.3639190420. The cubic root of 2123031312 is about 1285.2436490351.

Adding to 2123031312 its reverse (2131303212), we get a palindrome (4254334524).

The spelling of 2123031312 in words is "two billion, one hundred twenty-three million, thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 101 122 144 183 202 244 303 366 404 488 549 606 732 808 909 976 1098 1212 1464 1616 1818 2196 2393 2424 2928 3636 4392 4786 4848 6161 7179 7272 8784 9572 12322 14358 14544 18483 19144 21537 24644 28716 36966 38288 43074 49288 55449 57432 73932 86148 98576 110898 114864 145973 147864 172296 221796 241693 291946 295728 344592 437919 443592 483386 583892 725079 875838 887184 966772 1167784 1313757 1450158 1751676 1933544 2175237 2335568 2627514 2900316 3503352 3867088 4350474 5255028 5800632 7006704 8700948 10510056 11601264 14743273 17401896 21020112 29486546 34803792 44229819 58973092 88459638 117946184 132689457 176919276 235892368 265378914 353838552 530757828 707677104 1061515656 2123031312