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42430313310 = 23571123577793
BaseRepresentation
bin100111100001000010…
…110011001101011110
311001112001010020121120
4213201002303031132
51143344130011220
631254152511410
73031314466230
oct474102631536
9131461106546
1042430313310
1116aa3895440
1282819ab566
134002722988
1420a727c250
151185049a40
hex9e10b335e

42430313310 has 128 divisors (see below), whose sum is σ = 127030477824. Its totient is φ = 8811816960.

The previous prime is 42430313291. The next prime is 42430313329. The reversal of 42430313310 is 1331303424.

42430313310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42430313291) and next prime (42430313329).

It is a super-2 number, since 2×424303133102 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5440774 + ... + 5448566.

It is an arithmetic number, because the mean of its divisors is an integer number (992425608).

Almost surely, 242430313310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42430313310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63515238912).

42430313310 is an abundant number, since it is smaller than the sum of its proper divisors (84600164514).

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

42430313310 is a wasteful number, since it uses less digits than its factorization.

42430313310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10178.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 42430313310 its reverse (1331303424), we get a palindrome (43761616734).

The spelling of 42430313310 in words is "forty-two billion, four hundred thirty million, three hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 2357 4714 7071 7793 11785 14142 15586 16499 23379 23570 25927 32998 35355 38965 46758 49497 51854 54551 70710 77781 77930 82495 85723 98994 109102 116895 129635 155562 163653 164990 171446 181489 233790 247485 257169 259270 272755 327306 362978 388905 428615 494970 514338 544467 545510 600061 777810 818265 857230 907445 1088934 1200122 1285845 1636530 1800183 1814890 2571690 2722335 3000305 3600366 5444670 6000610 9000915 18001830 18368101 36736202 55104303 91840505 110208606 128576707 183681010 202049111 257153414 275521515 385730121 404098222 551043030 606147333 642883535 771460242 1010245555 1212294666 1285767070 1414343777 1928650605 2020491110 2828687554 3030736665 3857301210 4243031331 6061473330 7071718885 8486062662 14143437770 21215156655 42430313310