Search a number
-
+
30013123203312 = 2432367894559081
BaseRepresentation
bin1101101001011111110011…
…00011000001000011110000
310221021020010011022120010020
412310233321203001003300
512413213334020001222
6143455501035003440
76215243112646164
oct664577143010360
9127236104276106
1030013123203312
119621548675a27
1234488b2299580
1313992c11b9c02
1475a900226ca4
15370a9be6565c
hex1b4bf98c10f0

30013123203312 has 160 divisors (see below), whose sum is σ = 83035107555840. Its totient is φ = 9320656097280.

The previous prime is 30013123203311. The next prime is 30013123203397. The reversal of 30013123203312 is 21330232131003.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30013123203311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4303612 + ... + 8862692.

It is an arithmetic number, because the mean of its divisors is an integer number (518969422224).

Almost surely, 230013123203312 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 30013123203312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41517553777920).

30013123203312 is an abundant number, since it is smaller than the sum of its proper divisors (53021984352528).

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

30013123203312 is a wasteful number, since it uses less digits than its factorization.

30013123203312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4559271 (or 4559265 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 30013123203312 its reverse (21330232131003), we get a palindrome (51343355334315).

The spelling of 30013123203312 in words is "thirty trillion, thirteen billion, one hundred twenty-three million, two hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 67 69 89 92 134 138 178 184 201 267 268 276 356 368 402 534 536 552 712 804 1068 1072 1104 1424 1541 1608 2047 2136 3082 3216 4094 4272 4623 5963 6141 6164 8188 9246 11926 12282 12328 16376 17889 18492 23852 24564 24656 32752 35778 36984 47704 49128 71556 73968 95408 98256 137149 143112 274298 286224 411447 548596 822894 1097192 1645788 2194384 3291576 4559081 6583152 9118162 13677243 18236324 27354486 36472648 54708972 72945296 104858863 109417944 209717726 218835888 305458427 314576589 405758209 419435452 610916854 629153178 811516418 838870904 916375281 1217274627 1221833708 1258306356 1623032836 1677741808 1832750562 2434549254 2443667416 2516612712 3246065672 3665501124 4869098508 4887334832 5033225424 6492131344 7025543821 7331002248 9332438807 9738197016 14051087642 14662004496 18664877614 19476394032 21076631463 27185800003 27997316421 28102175284 37329755228 42153262926 54371600006 55994632842 56204350568 74659510456 81557400009 84306525852 108743200012 111989265684 112408701136 149319020912 163114800018 168613051704 217486400024 223978531368 326229600036 337226103408 434972800048 447957062736 625273400069 652459200072 1250546800138 1304918400144 1875820200207 2501093600276 3751640400414 5002187200552 7503280800828 10004374401104 15006561601656 30013123203312