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1233210221034 = 2311415367128339
BaseRepresentation
bin10001111100100001000…
…011101010000111101010
311100220010112121010201220
4101330201003222013222
5130201103304033114
62342310130522510
7155045045631621
oct21744103520752
94326115533656
101233210221034
11436002024760
1217b007736436
138c3a2a8997c
144398b05c6b8
152212a5810a9
hex11f210ea1ea

1233210221034 has 128 divisors (see below), whose sum is σ = 2850207575040. Its totient is φ = 352364812800.

The previous prime is 1233210221029. The next prime is 1233210221039. The reversal of 1233210221034 is 4301220123321.

It is an interprime number because it is at equal distance from previous prime (1233210221029) and next prime (1233210221039).

It is a junction number, because it is equal to n+sod(n) for n = 1233210220995 and 1233210221013.

It is not an unprimeable number, because it can be changed into a prime (1233210221039) 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 63 ways as a sum of consecutive naturals, for example, 9544837 + ... + 9673175.

It is an arithmetic number, because the mean of its divisors is an integer number (22267246680).

Almost surely, 21233210221034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1233210221034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425103787520).

1233210221034 is an abundant number, since it is smaller than the sum of its proper divisors (1616997354006).

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

1233210221034 is a wasteful number, since it uses less digits than its factorization.

1233210221034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128516.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1233210221034 its reverse (4301220123321), we get a palindrome (5534430344355).

The spelling of 1233210221034 in words is "one trillion, two hundred thirty-three billion, two hundred ten million, two hundred twenty-one thousand, thirty-four".

Divisors: 1 2 3 6 11 22 33 41 53 66 67 82 106 123 134 159 201 246 318 402 451 583 737 902 1166 1353 1474 1749 2173 2211 2706 2747 3498 3551 4346 4422 5494 6519 7102 8241 10653 13038 16482 21306 23903 30217 39061 47806 60434 71709 78122 90651 117183 128339 143418 145591 181302 234366 256678 291182 385017 436773 770034 873546 1411729 1601501 2823458 3203002 4235187 4804503 5261899 6801967 8470374 8598713 9609006 10523798 13603934 15785697 17197426 20405901 25796139 31571394 40811802 51592278 57880889 74821637 94585843 115761778 149643274 173642667 189171686 224464911 278880647 283757529 347285334 352547233 448929822 455731789 557761294 567515058 705094466 836641941 911463578 1057641699 1367195367 1673283882 2115283398 2734390734 3067687117 3878019563 5013049679 6135374234 7756039126 9203061351 10026099358 11634058689 15039149037 18406122702 18685003349 23268117378 30078298074 37370006698 56055010047 112110020094 205535036839 411070073678 616605110517 1233210221034