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12132032303430 = 23251319545750441
BaseRepresentation
bin1011000010001011010101…
…1110011101000101000110
31120221210220012011001121200
42300202311132131011012
53042232400232202210
641445213444323330
72361340033042524
oct260426536350506
946853805131550
1012132032303430
113958190a54646
12143b3290a3546
136a007963c010
142dd29cd51314
151608ae3c80c0
hexb08b579d146

12132032303430 has 96 divisors (see below), whose sum is σ = 35757568959840. Its totient is φ = 2829170280960.

The previous prime is 12132032303401. The next prime is 12132032303431. The reversal of 12132032303430 is 3430323023121.

12132032303430 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 203 + 23 + 0 + 3 + 430 = 666.

It is a super-2 number, since 2×121320323034302 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12132032303394 and 12132032303403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132032303431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272852991 + ... + 272897450.

It is an arithmetic number, because the mean of its divisors is an integer number (372474676665).

Almost surely, 212132032303430 is an apocalyptic number.

12132032303430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12132032303430 is an abundant number, since it is smaller than the sum of its proper divisors (23625536656410).

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

12132032303430 is a wasteful number, since it uses less digits than its factorization.

12132032303430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545750486 (or 545750483 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 12132032303430 its reverse (3430323023121), we get a palindrome (15562355326551).

The spelling of 12132032303430 in words is "twelve trillion, one hundred thirty-two billion, thirty-two million, three hundred three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 30 38 39 45 57 65 78 90 95 114 117 130 171 190 195 234 247 285 342 390 494 570 585 741 855 1170 1235 1482 1710 2223 2470 3705 4446 7410 11115 22230 545750441 1091500882 1637251323 2728752205 3274502646 4911753969 5457504410 7094755733 8186256615 9823507938 10369258379 14189511466 16372513230 20738516758 21284267199 24558769845 31107775137 35473778665 42568534398 49117539690 51846291895 62215550274 63852801597 70947557330 93323325411 103692583790 106421335995 127705603194 134800358927 155538875685 186646650822 212842671990 269600717854 311077751370 319264007985 404401076781 466616627055 638528015970 674001794635 808802153562 933233254110 1213203230343 1348003589270 2022005383905 2426406460686 4044010767810 6066016151715 12132032303430