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2210123301312 = 263311367100853
BaseRepresentation
bin100000001010010101100…
…111010100000111000000
321211021201021220112012010
4200022111213110013000
5242202313031120222
64411152220332520
7315450626045043
oct40122547240700
97737637815163
102210123301312
11782342a93103
122b84059a4140
1313054bc82464
1478d8322cc5a
153c75506880c
hex202959d41c0

2210123301312 has 112 divisors (see below), whose sum is σ = 5882463654912. Its totient is φ = 732330746880.

The previous prime is 2210123301311. The next prime is 2210123301371. The reversal of 2210123301312 is 2131033210122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210123301311) 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, 21863878 + ... + 21964730.

Almost surely, 22210123301312 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 2210123301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2941231827456).

2210123301312 is an abundant number, since it is smaller than the sum of its proper divisors (3672340353600).

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

2210123301312 is a wasteful number, since it uses less digits than its factorization.

2210123301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101546 (or 101536 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2210123301312 its reverse (2131033210122), we get a palindrome (4341156511434).

The spelling of 2210123301312 in words is "two trillion, two hundred ten billion, one hundred twenty-three million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 311 367 622 734 933 1101 1244 1468 1866 2202 2488 2936 3732 4404 4976 5872 7464 8808 9952 11744 14928 17616 19904 23488 29856 35232 59712 70464 100853 114137 201706 228274 302559 342411 403412 456548 605118 684822 806824 913096 1210236 1369644 1613648 1826192 2420472 2739288 3227296 3652384 4840944 5478576 6454592 7304768 9681888 10957152 19363776 21914304 31365283 37013051 62730566 74026102 94095849 111039153 125461132 148052204 188191698 222078306 250922264 296104408 376383396 444156612 501844528 592208816 752766792 888313224 1003689056 1184417632 1505533584 1776626448 2007378112 2368835264 3011067168 3553252896 6022134336 7106505792 11511058861 23022117722 34533176583 46044235444 69066353166 92088470888 138132706332 184176941776 276265412664 368353883552 552530825328 736707767104 1105061650656 2210123301312