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30010023001320 = 23354123332614487
BaseRepresentation
bin1101101001011010000001…
…10000101011110011101000
310221020221010002201222111020
412310231000300223303220
512413141011342020240
6143454225250532440
76215103226450335
oct664550060536350
9127227102658436
1030010023001320
1196201a769631a
123448187b97120
131398c18b20c6b
1475a6c85b998c
15370969bcc0d0
hex1b4b40c2bce8

30010023001320 has 128 divisors (see below), whose sum is σ = 92265490679040. Its totient is φ = 7804136130560.

The previous prime is 30010023001303. The next prime is 30010023001327. The reversal of 30010023001320 is 2310032001003.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30010023001320.

It is not an unprimeable number, because it can be changed into a prime (30010023001327) 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, 10171117 + ... + 12785603.

It is an arithmetic number, because the mean of its divisors is an integer number (720824145930).

Almost surely, 230010023001320 is an apocalyptic number.

30010023001320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30010023001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46132745339520).

30010023001320 is an abundant number, since it is smaller than the sum of its proper divisors (62255467677720).

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

30010023001320 is a wasteful number, since it uses less digits than its factorization.

30010023001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616875 (or 2616871 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 30010023001320 its reverse (2310032001003), we get a palindrome (32320055002323).

The spelling of 30010023001320 in words is "thirty trillion, ten billion, twenty-three million, one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2333 2460 4666 4920 6999 9332 11665 13998 18664 23330 27996 34995 46660 55992 69990 93320 95653 139980 191306 279960 286959 382612 478265 573918 765224 956530 1147836 1434795 1913060 2295672 2614487 2869590 3826120 5228974 5739180 7843461 10457948 11478360 13072435 15686922 20915896 26144870 31373844 39217305 52289740 62747688 78434610 104579480 107193967 156869220 214387934 313738440 321581901 428775868 535969835 643163802 857551736 1071939670 1286327604 1607909505 2143879340 2572655208 3215819010 4287758680 6099598171 6431638020 12199196342 12863276040 18298794513 24398392684 30497990855 36597589026 48796785368 60995981710 73195178052 91493972565 121991963420 146390356104 182987945130 243983926840 250083525011 365975890260 500167050022 731951780520 750250575033 1000334100044 1250417625055 1500501150066 2000668200088 2500835250110 3001002300132 3751252875165 5001670500220 6002004600264 7502505750330 10003341000440 15005011500660 30010023001320