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12011132300230 = 2572979157477047
BaseRepresentation
bin1010111011001000111101…
…0001100010101111000110
31120112020211110110112211101
42232302033101202233012
53033242244332101410
641313501001530314
72346530025006220
oct256621721425706
946466743415741
1012011132300230
113910990065828
12141ba07aa399a
1369184cb5999b
142d74b028b410
1515c6853e4d3a
hexaec8f462bc6

12011132300230 has 128 divisors (see below), whose sum is σ = 26049110630400. Its totient is φ = 3900755529216.

The previous prime is 12011132300221. The next prime is 12011132300263. The reversal of 12011132300230 is 3200323111021.

It is a junction number, because it is equal to n+sod(n) for n = 12011132300198 and 12011132300207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24939567 + ... + 25416613.

It is an arithmetic number, because the mean of its divisors is an integer number (203508676800).

Almost surely, 212011132300230 is an apocalyptic number.

12011132300230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12011132300230 is an abundant number, since it is smaller than the sum of its proper divisors (14037978330170).

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

12011132300230 is a wasteful number, since it uses less digits than its factorization.

12011132300230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477326.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 12011132300230 its reverse (3200323111021), we get a palindrome (15211455411251).

The spelling of 12011132300230 in words is "twelve trillion, eleven billion, one hundred thirty-two million, three hundred thousand, two hundred thirty".

Divisors: 1 2 5 7 10 14 29 35 58 70 79 145 157 158 203 290 314 395 406 553 785 790 1015 1099 1106 1570 2030 2198 2291 2765 4553 4582 5495 5530 9106 10990 11455 12403 16037 22765 22910 24806 31871 32074 45530 62015 63742 80185 86821 124030 159355 160370 173642 318710 359687 434105 477047 719374 868210 954094 1798435 2385235 2517809 3339329 3596870 4770470 5035618 6678658 12589045 13834363 16696645 25178090 27668726 33393290 37686713 69171815 74896379 75373426 96840541 138343630 149792758 188433565 193681082 263806991 374481895 376867130 484202705 524274653 527613982 748963790 968405410 1048549306 1092914677 1319034955 2171994991 2185829354 2621373265 2638069910 4343989982 5242746530 5464573385 5916813941 7650402739 10859974955 10929146770 11833627882 15203964937 15300805478 21719949910 29584069705 30407929874 38252013695 41417697587 59168139410 76019824685 76504027390 82835395174 152039649370 171587604289 207088487935 343175208578 414176975870 857938021445 1201113230023 1715876042890 2402226460046 6005566150115 12011132300230