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12030110532 = 223211232235923
BaseRepresentation
bin10110011010000110…
…01110101101000100
31011001101202221020100
423031003032231010
5144114202014112
65305423004100
7604055152356
oct131503165504
934041687210
1012030110532
115113758110
1223b8a39630
131199477bcb
14821a190d6
154a621c2dc
hex2cd0ceb44

12030110532 has 144 divisors (see below), whose sum is σ = 34777387008. Its totient is φ = 3470765760.

The previous prime is 12030110527. The next prime is 12030110557. The reversal of 12030110532 is 23501103021.

12030110532 is a `hidden beast` number, since 1 + 20 + 3 + 0 + 110 + 532 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2028123 + ... + 2034045.

It is an arithmetic number, because the mean of its divisors is an integer number (241509632).

Almost surely, 212030110532 is an apocalyptic number.

12030110532 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 12030110532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17388693504).

12030110532 is an abundant number, since it is smaller than the sum of its proper divisors (22747276476).

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

12030110532 is a wasteful number, since it uses less digits than its factorization.

12030110532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6190 (or 6185 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 12030110532 its reverse (23501103021), we get a palindrome (35531213553).

The spelling of 12030110532 in words is "twelve billion, thirty million, one hundred ten thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 223 253 276 396 414 446 506 669 759 828 892 1012 1338 1518 2007 2277 2453 2676 3036 4014 4554 4906 5129 5923 7359 8028 9108 9812 10258 11846 14718 15387 17769 20516 22077 23692 29436 30774 35538 44154 46161 53307 56419 61548 65153 71076 88308 92322 106614 112838 130306 136229 169257 184644 195459 213228 225676 260612 272458 338514 390918 408687 507771 544916 586377 677028 781836 817374 1015542 1172754 1226061 1320829 1498519 1634748 2031084 2345508 2452122 2641658 2997038 3962487 4495557 4904244 5283316 5994076 7924974 8991114 11887461 13486671 14529119 15849948 17982228 23774922 26973342 29058238 30379067 43587357 47549844 53946684 58116476 60758134 87174714 91137201 121516268 130762071 174349428 182274402 261524142 273411603 334169737 364548804 523048284 546823206 668339474 1002509211 1093646412 1336678948 2005018422 3007527633 4010036844 6015055266 12030110532