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43212007332 = 22341318156681
BaseRepresentation
bin101000001111101000…
…101110011110100100
311010112112000102020000
4220033220232132210
51201444233213312
631503515141300
73056556000444
oct501750563644
9133475012200
1043212007332
111736506275a
12845b744830
1340c8666510
14213d000124
1511cd9a7adc
hexa0fa2e7a4

43212007332 has 120 divisors (see below), whose sum is σ = 122328598392. Its totient is φ = 13222310400.

The previous prime is 43212007331. The next prime is 43212007337. The reversal of 43212007332 is 23370021234.

43212007332 is a `hidden beast` number, since 4 + 321 + 2 + 0 + 0 + 7 + 332 = 666.

43212007332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 868245156 + 42343762176 = 29466^2 + 205776^2 .

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 = 43212007296 and 43212007305.

It is not an unprimeable number, because it can be changed into a prime (43212007331) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 734032 + ... + 790712.

Almost surely, 243212007332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43212007332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61164299196).

43212007332 is an abundant number, since it is smaller than the sum of its proper divisors (79116591060).

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

43212007332 is a wasteful number, since it uses less digits than its factorization.

43212007332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56891 (or 56880 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

Adding to 43212007332 its reverse (23370021234), we get a palindrome (66582028566).

The spelling of 43212007332 in words is "forty-three billion, two hundred twelve million, seven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 181 234 324 351 362 468 543 702 724 1053 1086 1404 1629 2106 2172 2353 3258 4212 4706 4887 6516 7059 9412 9774 14118 14661 19548 21177 28236 29322 42354 56681 58644 63531 84708 113362 127062 170043 190593 226724 254124 340086 381186 510129 680172 736853 762372 1020258 1473706 1530387 2040516 2210559 2947412 3060774 4421118 4591161 6121548 6631677 8842236 9182322 10259261 13263354 18364644 19895031 20518522 26526708 30777783 39790062 41037044 59685093 61555566 79580124 92333349 119370186 123111132 133370393 184666698 238740372 266740786 277000047 369333396 400111179 533481572 554000094 800222358 831000141 1108000188 1200333537 1600444716 1662000282 2400667074 3324000564 3601000611 4801334148 7202001222 10803001833 14404002444 21606003666 43212007332