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22342121130 = 23572921117387
BaseRepresentation
bin10100110011101100…
…011011011010101010
32010200001122100102210
4110303230123122222
5331224040334010
614132553105550
71420441616250
oct246354333252
963601570383
1022342121130
1195255aa31a
1243b63b82b6
1321509a9c24
14111d39a5d0
158ab6acb20
hex533b1b6aa

22342121130 has 128 divisors (see below), whose sum is σ = 63698503680. Its totient is φ = 4907024640.

The previous prime is 22342121119. The next prime is 22342121171. The reversal of 22342121130 is 3112124322.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22342121097 and 22342121106.

It is an unprimeable number.

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, 1276297 + ... + 1293683.

It is an arithmetic number, because the mean of its divisors is an integer number (497644560).

Almost surely, 222342121130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22342121130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31849251840).

22342121130 is an abundant number, since it is smaller than the sum of its proper divisors (41356382550).

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

22342121130 is a wasteful number, since it uses less digits than its factorization.

22342121130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17644.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 22342121130 its reverse (3112124322), we get a palindrome (25454245452).

The spelling of 22342121130 in words is "twenty-two billion, three hundred forty-two million, one hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 211 290 406 422 435 609 633 870 1015 1055 1218 1266 1477 2030 2110 2954 3045 3165 4431 6090 6119 6330 7385 8862 12238 14770 17387 18357 22155 30595 34774 36714 42833 44310 52161 61190 85666 86935 91785 104322 121709 128499 173870 183570 214165 243418 256998 260805 365127 428330 504223 521610 608545 642495 730254 1008446 1217090 1284990 1512669 1825635 2521115 3025338 3529561 3651270 3668657 5042230 7059122 7337314 7563345 10588683 11005971 15126690 17647805 18343285 21177366 22011942 25680599 35295610 36686570 51361198 52943415 55029855 77041797 105886830 106391053 110059710 128402995 154083594 212782106 256805990 319173159 385208985 531955265 638346318 744737371 770417970 1063910530 1489474742 1595865795 2234212113 3191731590 3723686855 4468424226 7447373710 11171060565 22342121130