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2231023022312 = 237289223286763
BaseRepresentation
bin100000011101110011010…
…101011011000011101000
321220021122211102100121212
4200131303111123003220
5243023113343203222
64424530130052252
7320120554536200
oct40356325330350
97807584370555
102231023022312
117901983738a7
1230047911a088
131324ccb86786
1479da6bdb400
153d079ca86e2
hex2077355b0e8

2231023022312 has 96 divisors (see below), whose sum is σ = 4942893715200. Its totient is φ = 941166648576.

The previous prime is 2231023022311. The next prime is 2231023022339. The reversal of 2231023022312 is 2132203201322.

It is a super-3 number, since 3×22310230223123 (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2231023022311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7636643 + ... + 7923405.

It is an arithmetic number, because the mean of its divisors is an integer number (51488476200).

Almost surely, 22231023022312 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 2231023022312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471446857600).

2231023022312 is an abundant number, since it is smaller than the sum of its proper divisors (2711870692888).

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

2231023022312 is a wasteful number, since it uses less digits than its factorization.

2231023022312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287095 (or 287084 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 2231023022312 its reverse (2132203201322), we get a palindrome (4363226223634).

The spelling of 2231023022312 in words is "two trillion, two hundred thirty-one billion, twenty-three million, twenty-two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 89 98 178 196 223 356 392 446 623 712 892 1246 1561 1784 2492 3122 4361 4984 6244 8722 10927 12488 17444 19847 21854 34888 39694 43708 79388 87416 138929 158776 277858 286763 555716 573526 972503 1111432 1147052 1945006 2007341 2294104 3890012 4014682 7780024 8029364 14051387 16058728 25521907 28102774 51043814 56205548 63948149 102087628 112411096 127896298 178653349 204175256 255792596 357306698 447637043 511585192 714613396 895274086 1250573443 1429226792 1790548172 2501146886 3133459301 3581096344 5002293772 5691385261 6266918602 10004587544 11382770522 12533837204 22765541044 25067674408 39839696827 45531082088 79679393654 159358787308 278877877789 318717574616 557755755578 1115511511156 2231023022312