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423102131320 = 235112383503717
BaseRepresentation
bin1100010100000101101…
…10100010110001111000
31111110002201022020102011
412022002312202301320
523413003121200240
6522212003015304
742365602530361
oct6120266426170
91443081266364
10423102131320
11153489139610
126a00006a534
1330b8a90912b
141669a478b68
15b014b7e6ea
hex6282da2c78

423102131320 has 128 divisors (see below), whose sum is σ = 1096735127040. Its totient is φ = 145392586240.

The previous prime is 423102131317. The next prime is 423102131323. The reversal of 423102131320 is 23131201324.

It is an interprime number because it is at equal distance from previous prime (423102131317) and next prime (423102131323).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 423102131291 and 423102131300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423102131323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 588102 + ... + 1091818.

It is an arithmetic number, because the mean of its divisors is an integer number (8568243180).

Almost surely, 2423102131320 is an apocalyptic number.

423102131320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423102131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548367563520).

423102131320 is an abundant number, since it is smaller than the sum of its proper divisors (673632995720).

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

423102131320 is a wasteful number, since it uses less digits than its factorization.

423102131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503845 (or 503841 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 423102131320 its reverse (23131201324), we get a palindrome (446233332644).

The spelling of 423102131320 in words is "four hundred twenty-three billion, one hundred two million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 83 88 92 110 115 166 184 220 230 253 332 415 440 460 506 664 830 913 920 1012 1265 1660 1826 1909 2024 2530 3320 3652 3818 4565 5060 7304 7636 9130 9545 10120 15272 18260 19090 20999 36520 38180 41998 76360 83996 104995 167992 209990 419980 503717 839960 1007434 2014868 2518585 4029736 5037170 5540887 10074340 11081774 11585491 20148680 22163548 23170982 27704435 41808511 44327096 46341964 55408870 57927455 83617022 92683928 110817740 115854910 127440401 167234044 209042555 221635480 231709820 254880802 334468088 418085110 459893621 463419640 509761604 637202005 836170220 919787242 961595753 1019523208 1274404010 1672340440 1839574484 1923191506 2299468105 2548808020 3679148968 3846383012 4598936210 4807978765 5097616040 7692766024 9197872420 9615957530 10577553283 18395744840 19231915060 21155106566 38463830120 42310213132 52887766415 84620426264 105775532830 211551065660 423102131320