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42030212310 = 2345174576679
BaseRepresentation
bin100111001001001100…
…100010010011010110
311000111011021000020000
4213021030202103112
51142034213243220
631150341152130
73015355624062
oct471114422326
9130434230200
1042030212310
1116908a60659
12818b9bb646
133c6a877418
14206a08caa2
15115ed66390
hex9c93224d6

42030212310 has 160 divisors (see below), whose sum is σ = 119942285760. Its totient is φ = 10524100608.

The previous prime is 42030212281. The next prime is 42030212321. The reversal of 42030212310 is 1321203024.

42030212310 is a `hidden beast` number, since 42 + 0 + 302 + 12 + 310 = 666.

It is a super-2 number, since 2×420302123102 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6289551 + ... + 6296229.

It is an arithmetic number, because the mean of its divisors is an integer number (749639286).

Almost surely, 242030212310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42030212310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59971142880).

42030212310 is an abundant number, since it is smaller than the sum of its proper divisors (77912073450).

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

42030212310 is a wasteful number, since it uses less digits than its factorization.

42030212310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7172 (or 7163 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 42030212310 its reverse (1321203024), we get a palindrome (43351415334).

The spelling of 42030212310 in words is "forty-two billion, thirty million, two hundred twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 457 459 510 765 810 914 918 1371 1377 1530 2285 2295 2742 2754 4113 4570 4590 6679 6855 6885 7769 8226 12339 13358 13710 13770 15538 20037 20565 23307 24678 33395 37017 38845 40074 41130 46614 60111 61695 66790 69921 74034 77690 100185 113543 116535 120222 123390 139842 180333 185085 200370 209763 227086 233070 300555 340629 349605 360666 370170 419526 540999 567715 601110 629289 681258 699210 901665 1021887 1048815 1081998 1135430 1258578 1703145 1803330 2043774 2097630 2704995 3052303 3065661 3146445 3406290 5109435 5409990 6104606 6131322 6292890 9156909 9196983 10218870 15261515 15328305 18313818 18393966 27470727 30523030 30656610 45784545 45984915 51889151 54941454 82412181 91569090 91969830 103778302 137353635 155667453 164824362 247236543 259445755 274707270 311334906 412060905 467002359 494473086 518891510 778337265 824121810 934004718 1236182715 1401007077 1556674530 2335011795 2472365430 2802014154 4203021231 4670023590 7005035385 8406042462 14010070770 21015106155 42030212310