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4132230102 = 23271121320849
BaseRepresentation
bin1111011001001100…
…1101001111010110
3101122222112001001100
43312103031033112
531430322330402
61522012010530
7204254243040
oct36623151726
911588461040
104132230102
111830599700
12973a60a46
1350b13b290
142b2b34a90
15192b9471c
hexf64cd3d6

4132230102 has 144 divisors (see below), whose sum is σ = 12112682400. Its totient is φ = 990696960.

The previous prime is 4132230101. The next prime is 4132230121. The reversal of 4132230102 is 2010322314.

4132230102 is a `hidden beast` number, since 41 + 322 + 301 + 0 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4132230101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 187774 + ... + 208622.

It is an arithmetic number, because the mean of its divisors is an integer number (84115850).

Almost surely, 24132230102 is an apocalyptic number.

4132230102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4132230102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6056341200).

4132230102 is an abundant number, since it is smaller than the sum of its proper divisors (7980452298).

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

4132230102 is a wasteful number, since it uses less digits than its factorization.

4132230102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20899 (or 20885 counting only the distinct ones).

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

The square root of 4132230102 is about 64282.4245186816. The cubic root of 4132230102 is about 1604.7036201216.

Adding to 4132230102 its reverse (2010322314), we get a palindrome (6142552416).

The spelling of 4132230102 in words is "four billion, one hundred thirty-two million, two hundred thirty thousand, one hundred two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 121 126 143 154 182 198 231 234 242 273 286 363 429 462 546 693 726 819 847 858 1001 1089 1287 1386 1573 1638 1694 2002 2178 2541 2574 3003 3146 4719 5082 6006 7623 9009 9438 11011 14157 15246 18018 20849 22022 28314 33033 41698 62547 66066 99099 125094 145943 187641 198198 229339 271037 291886 375282 437829 458678 542074 688017 813111 875658 1313487 1376034 1605373 1626222 1897259 2064051 2439333 2522729 2626974 2981407 3210746 3794518 4128102 4816119 4878666 5045458 5691777 5962814 7568187 8944221 9632238 11383554 14448357 15136374 17075331 17659103 17888442 20869849 22704561 26832663 28896714 32795477 34150662 35318206 41739698 45409122 52977309 53665326 62609547 65590954 98386431 105954618 125219094 158931927 187828641 196772862 229568339 295159293 317863854 375657282 459136678 590318586 688705017 1377410034 2066115051 4132230102