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106016166230 = 251329313724517
BaseRepresentation
bin110001010111100001…
…1100101000101010110
3101010122110010020211012
41202233003211011112
53214110114304410
6120411514212222
710442115354512
oct1425703450526
9333573106735
10106016166230
1140a633a8907
1218668724072
139cc7048910
1451ba07b142
152b574b7605
hex18af0e5156

106016166230 has 128 divisors (see below), whose sum is σ = 225392993280. Its totient is φ = 35585464320.

The previous prime is 106016166149. The next prime is 106016166233. The reversal of 106016166230 is 32661610601.

It is a super-2 number, since 2×1060161662302 (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 (106016166233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4311932 + ... + 4336448.

It is an arithmetic number, because the mean of its divisors is an integer number (1760882760).

Almost surely, 2106016166230 is an apocalyptic number.

106016166230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106016166230 is an abundant number, since it is smaller than the sum of its proper divisors (119376827050).

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

106016166230 is a wasteful number, since it uses less digits than its factorization.

106016166230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24634.

The product of its (nonzero) digits is 7776, while the sum is 32.

Adding to 106016166230 its reverse (32661610601), we get a palindrome (138677776831).

The spelling of 106016166230 in words is "one hundred six billion, sixteen million, one hundred sixty-six thousand, two hundred thirty".

Divisors: 1 2 5 10 13 26 29 31 37 58 62 65 74 130 145 155 185 290 310 370 377 403 481 754 806 899 962 1073 1147 1798 1885 2015 2146 2294 2405 3770 4030 4495 4810 5365 5735 8990 10730 11470 11687 13949 14911 23374 24517 27898 29822 33263 49034 58435 66526 69745 74555 116870 122585 139490 149110 166315 245170 318721 332630 432419 637442 710993 760027 864838 907129 1421986 1520054 1593605 1814258 2162095 3187210 3554965 3800135 4324190 4535645 7109930 7600270 9071290 9242909 9880351 11792677 18485818 19760702 22040783 23585354 26306741 28120999 44081566 46214545 49401755 52613482 56241998 58963385 92429090 98803510 110203915 117926770 131533705 140604995 220407830 263067410 281209990 286530179 341987633 365572987 573060358 683975266 731145974 815508971 1432650895 1631017942 1709938165 1827864935 2865301790 3419876330 3655729870 4077544855 8155089710 10601616623 21203233246 53008083115 106016166230