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2051253212310 = 2325291861422311
BaseRepresentation
bin11101110110011000001…
…110000001010010010110
321021002122100210210200200
4131312120032001102112
5232101431310243220
64210155511121330
7301124652423021
oct35663016012226
97232570723620
102051253212310
11720a27a64895
12291668673246
1311b580b39b33
14713d18021b8
15385578be890
hex1dd98381496

2051253212310 has 96 divisors (see below), whose sum is σ = 5520141506880. Its totient is φ = 527853715200.

The previous prime is 2051253212299. The next prime is 2051253212317. The reversal of 2051253212310 is 132123521502.

2051253212310 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 2 + 532 + 123 + 1 + 0 = 666.

It is a super-2 number, since 2×20512532123102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2051253212317) 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 47 ways as a sum of consecutive naturals, for example, 4646055 + ... + 5068365.

It is an arithmetic number, because the mean of its divisors is an integer number (57501474030).

Almost surely, 22051253212310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2051253212310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760070753440).

2051253212310 is an abundant number, since it is smaller than the sum of its proper divisors (3468888294570).

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

2051253212310 is a wasteful number, since it uses less digits than its factorization.

2051253212310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424214 (or 424211 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 2051253212310 its reverse (132123521502), we get a palindrome (2183376733812).

The spelling of 2051253212310 in words is "two trillion, fifty-one billion, two hundred fifty-three million, two hundred twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 1861 2610 3722 5583 9305 11166 16749 18610 27915 33498 53969 55830 83745 107938 161907 167490 269845 323814 422311 485721 539690 809535 844622 971442 1266933 1619070 2111555 2428605 2533866 3800799 4223110 4857210 6334665 7601598 12247019 12669330 19003995 24494038 36741057 38007990 61235095 73482114 110223171 122470190 183705285 220446342 367410570 551115855 785920771 1102231710 1571841542 2357762313 3929603855 4715524626 7073286939 7859207710 11788811565 14146573878 22791702359 23577623130 35366434695 45583404718 68375107077 70732869390 113958511795 136750214154 205125321231 227917023590 341875535385 410250642462 683751070770 1025626606155 2051253212310