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10543214232 = 2333377916699
BaseRepresentation
bin10011101000110110…
…01010111010011000
31000012202220202222000
421310123022322120
5133043030323412
64502105401000
7522161561625
oct116433127230
930182822860
1010543214232
1145204079a1
122062a99160
13cc03c3105
1472036734c
1541a9104dc
hex2746cae98

10543214232 has 128 divisors (see below), whose sum is σ = 30460800000. Its totient is φ = 3375934848.

The previous prime is 10543214179. The next prime is 10543214249. The reversal of 10543214232 is 23241234501.

10543214232 is a `hidden beast` number, since 105 + 4 + 321 + 4 + 232 = 666.

10543214232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105432142322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10543214196 and 10543214205.

It is a congruent number.

It is an unprimeable number.

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, 623019 + ... + 639717.

It is an arithmetic number, because the mean of its divisors is an integer number (237975000).

Almost surely, 210543214232 is an apocalyptic number.

10543214232 is a gapful number since it is divisible by the number (12) 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 10543214232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15230400000).

10543214232 is an abundant number, since it is smaller than the sum of its proper divisors (19917585768).

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

10543214232 is a wasteful number, since it uses less digits than its factorization.

10543214232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16830 (or 16820 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10543214232 its reverse (23241234501), we get a palindrome (33784448733).

The spelling of 10543214232 in words is "ten billion, five hundred forty-three million, two hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 79 108 111 148 158 216 222 237 296 316 333 444 474 632 666 711 888 948 999 1332 1422 1896 1998 2133 2664 2844 2923 3996 4266 5688 5846 7992 8532 8769 11692 16699 17064 17538 23384 26307 33398 35076 50097 52614 66796 70152 78921 100194 105228 133592 150291 157842 200388 210456 300582 315684 400776 450873 601164 617863 631368 901746 1202328 1235726 1319221 1803492 1853589 2471452 2638442 3606984 3707178 3957663 4942904 5276884 5560767 7414356 7915326 10553768 11121534 11872989 14828712 15830652 16682301 22243068 23745978 31661304 33364602 35618967 44486136 47491956 48811177 66729204 71237934 94983912 97622354 133458408 142475868 146433531 195244708 284951736 292867062 390489416 439300593 585734124 878601186 1171468248 1317901779 1757202372 2635803558 3514404744 5271607116 10543214232