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30323023131312 = 2432416047849349
BaseRepresentation
bin1101110010100001000010…
…00001011011001010110000
310222100212000121201001000100
412321100201001123022300
512433303022410200222
6144254112101552400
76246523531611432
oct671204101331260
9128325017631010
1030323023131312
119730a160466aa
12349897b115700
1313bc5ab068782
1476b8dc0bc652
15378b888164ac
hex1b942105b2b0

30323023131312 has 120 divisors (see below), whose sum is σ = 86946641308800. Its totient is φ = 9859503375360.

The previous prime is 30323023131301. The next prime is 30323023131361. The reversal of 30323023131312 is 21313132032303.

30323023131312 is a `hidden beast` number, since 3 + 0 + 3 + 2 + 30 + 2 + 313 + 1 + 312 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35276814 + ... + 36126162.

It is an arithmetic number, because the mean of its divisors is an integer number (724555344240).

Almost surely, 230323023131312 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 30323023131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43473320654400).

30323023131312 is an abundant number, since it is smaller than the sum of its proper divisors (56623618177488).

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

30323023131312 is a wasteful number, since it uses less digits than its factorization.

30323023131312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855451 (or 855442 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 30323023131312 its reverse (21313132032303), we get a palindrome (51636155163615).

The spelling of 30323023131312 in words is "thirty trillion, three hundred twenty-three billion, twenty-three million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 6047 12094 18141 24188 36282 48376 54423 72564 96752 108846 145128 217692 247927 290256 435384 495854 743781 849349 870768 991708 1487562 1698698 1983416 2231343 2548047 2975124 3397396 3966832 4462686 5096094 5950248 6794792 7644141 8925372 10192188 11900496 13589584 15288282 17850744 20384376 30576564 34823309 35701488 40768752 61153128 69646618 104469927 122306256 139293236 208939854 278586472 313409781 417879708 557172944 626819562 835759416 1253639124 1671518832 2507278248 5014556496 5136013403 10272026806 15408040209 20544053612 30816080418 41088107224 46224120627 61632160836 82176214448 92448241254 123264321672 184896482508 210576549523 246528643344 369792965016 421153099046 631729648569 739585930032 842306198092 1263459297138 1684612396184 1895188945707 2526918594276 3369224792368 3790377891414 5053837188552 7580755782828 10107674377104 15161511565656 30323023131312