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212158130460 = 223531449254039
BaseRepresentation
bin1100010110010110011…
…1000010100100011100
3202021121122221201001120
43011211213002210130
511433444440133320
6241244125010540
721220322232333
oct3054547024434
9667548851046
10212158130460
1181a80808601
123514b3b3a50
131701116b503
14a3a8b02d1a
1557baa2d440
hex31659c291c

212158130460 has 96 divisors (see below), whose sum is σ = 614573568000. Its totient is φ = 54628331520.

The previous prime is 212158130441. The next prime is 212158130461. The reversal of 212158130460 is 64031851212.

It is a super-2 number, since 2×2121581304602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212158130461) 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, 708121 + ... + 962159.

It is an arithmetic number, because the mean of its divisors is an integer number (6401808000).

Almost surely, 2212158130460 is an apocalyptic number.

212158130460 is a gapful number since it is divisible by the number (20) 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 212158130460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307286784000).

212158130460 is an abundant number, since it is smaller than the sum of its proper divisors (402415437540).

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

212158130460 is a wasteful number, since it uses less digits than its factorization.

212158130460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254531 (or 254529 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

Adding to 212158130460 its reverse (64031851212), we get a palindrome (276189981672).

The spelling of 212158130460 in words is "two hundred twelve billion, one hundred fifty-eight million, one hundred thirty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 449 465 620 898 930 1347 1796 1860 2245 2694 4490 5388 6735 8980 13470 13919 26940 27838 41757 55676 69595 83514 139190 167028 208785 254039 278380 417570 508078 762117 835140 1016156 1270195 1524234 2540390 3048468 3810585 5080780 7621170 7875209 15242340 15750418 23625627 31500836 39376045 47251254 78752090 94502508 114063511 118128135 157504180 228127022 236256270 342190533 456254044 472512540 570317555 684381066 1140635110 1368762132 1710952665 2281270220 3421905330 3535968841 6843810660 7071937682 10607906523 14143875364 17679844205 21215813046 35359688410 42431626092 53039532615 70719376820 106079065230 212158130460