Search a number
-
+
12300021313020 = 22325737263835721
BaseRepresentation
bin1011001011111101001001…
…1001101010110111111100
31121112212111122002221111200
42302333102121222313330
53103010420424004040
642054315104015500
72406434665053060
oct262772231526774
947485448087450
1012300021313020
113a12456408971
1214679b0301590
136b2b6ba7143c
143074778abaa0
15164e423de630
hexb2fd266adfc

12300021313020 has 144 divisors (see below), whose sum is σ = 43792508480448. Its totient is φ = 2735448744960.

The previous prime is 12300021313003. The next prime is 12300021313079. The reversal of 12300021313020 is 2031312000321.

12300021313020 is a `hidden beast` number, since 1 + 2 + 300 + 0 + 213 + 130 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12300021312984 and 12300021313002.

It is a congruent number.

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, 131871241 + ... + 131964480.

Almost surely, 212300021313020 is an apocalyptic number.

12300021313020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12300021313020 is an abundant number, since it is smaller than the sum of its proper divisors (31492487167428).

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

12300021313020 is a wasteful number, since it uses less digits than its factorization.

12300021313020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263835780 (or 263835775 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12300021313020 its reverse (2031312000321), we get a palindrome (14331333313341).

The spelling of 12300021313020 in words is "twelve trillion, three hundred billion, twenty-one million, three hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 37 42 45 60 63 70 74 84 90 105 111 126 140 148 180 185 210 222 252 259 315 333 370 420 444 518 555 630 666 740 777 1036 1110 1260 1295 1332 1554 1665 2220 2331 2590 3108 3330 3885 4662 5180 6660 7770 9324 11655 15540 23310 46620 263835721 527671442 791507163 1055342884 1319178605 1583014326 1846850047 2374521489 2638357210 3166028652 3693700094 3957535815 4749042978 5276714420 5540550141 7387400188 7915071630 9234250235 9498085956 9761921677 11081100282 11872607445 15830143260 16621650423 18468500470 19523843354 22162200564 23745214890 27702750705 29285765031 33243300846 36937000940 39047686708 47490429780 48809608385 55405501410 58571530062 66486601692 68333451739 83108252115 87857295093 97619216770 110811002820 117143060124 136666903478 146428825155 166216504230 175714590186 195238433540 205000355217 273333806956 292857650310 332433008460 341667258695 351429180372 410000710434 439286475465 585715300620 615001065651 683334517390 820001420868 878572950930 1025001776085 1230002131302 1366669034780 1757145901860 2050003552170 2460004262604 3075005328255 4100007104340 6150010656510 12300021313020