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30121131232 = 2543593111193
BaseRepresentation
bin11100000011010110…
…111111110011100000
32212202012020000012001
4130003112333303200
5443142002144412
621500520213344
72114300251063
oct340326776340
985665200161
1030121131232
1111857658795
125a0760a254
132ac04c6b9a
14165a57a8da
15bb45a4957
hex7035bfce0

30121131232 has 96 divisors (see below), whose sum is σ = 61958856960. Its totient is φ = 14402411520.

The previous prime is 30121131221. The next prime is 30121131263. The reversal of 30121131232 is 23213112103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25247628 + ... + 25248820.

It is an arithmetic number, because the mean of its divisors is an integer number (645404760).

Almost surely, 230121131232 is an apocalyptic number.

30121131232 is a gapful number since it is divisible by the number (32) 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 30121131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30979428480).

30121131232 is an abundant number, since it is smaller than the sum of its proper divisors (31837725728).

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

30121131232 is a wasteful number, since it uses less digits than its factorization.

30121131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1608 counting only the distinct ones).

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

Adding to 30121131232 its reverse (23213112103), we get a palindrome (53334243335).

The spelling of 30121131232 in words is "thirty billion, one hundred twenty-one million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 43 59 86 118 172 236 311 344 472 622 688 944 1193 1244 1376 1888 2386 2488 2537 4772 4976 5074 9544 9952 10148 13373 18349 19088 20296 26746 36698 38176 40592 51299 53492 70387 73396 81184 102598 106984 140774 146792 205196 213968 281548 293584 371023 410392 427936 563096 587168 742046 789007 820784 1126192 1484092 1578014 1641568 2252384 2968184 3026641 3156028 5936368 6053282 6312056 11872736 12106564 12624112 15953989 21890357 24213128 25248224 31907978 43780714 48426256 63815956 87561428 96852512 127631912 175122856 255263824 350245712 510527648 700491424 941285351 1882570702 3765141404 7530282808 15060565616 30121131232