Search a number
-
+
10130300300032 = 281147427117921
BaseRepresentation
bin1001001101101010010011…
…1100110110101100000000
31022212110002001020022122121
42103122210330312230000
52311433323334100112
633313443512414024
72063614166541043
oct223324474665400
938773061208577
1010130300300032
113256266471aa0
1211773a10a7314
1358638b304583
14270448448c5a
151287a4324407
hex936a4f36b00

10130300300032 has 144 divisors (see below), whose sum is σ = 22535183591424. Its totient is φ = 4505403392000.

The previous prime is 10130300300027. The next prime is 10130300300069. The reversal of 10130300300032 is 23000300303101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10130300299979 and 10130300300015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565266432 + ... + 565284352.

It is an arithmetic number, because the mean of its divisors is an integer number (156494330496).

Almost surely, 210130300300032 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 10130300300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11267591795712).

10130300300032 is an abundant number, since it is smaller than the sum of its proper divisors (12404883291392).

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

10130300300032 is a wasteful number, since it uses less digits than its factorization.

10130300300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22266 (or 22252 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 10130300300032 its reverse (23000300303101), we get a palindrome (33130600603133).

The spelling of 10130300300032 in words is "ten trillion, one hundred thirty billion, three hundred million, three hundred thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 128 176 188 256 352 376 517 704 752 1034 1408 1504 2068 2816 3008 4136 4271 6016 8272 8542 12032 16544 17084 17921 33088 34168 35842 46981 66176 68336 71684 93962 132352 136672 143368 187924 197131 200737 273344 286736 375848 394262 401474 546688 573472 751696 788524 802948 842287 1093376 1146944 1503392 1577048 1605896 1684574 2208107 2293888 3006784 3154096 3211792 3369148 4416214 4587776 6013568 6308192 6423584 6738296 8832428 9265157 12027136 12616384 12847168 13476592 17664856 18530314 25232768 25694336 26953184 35329712 37060628 50465536 51388672 53906368 70659424 74121256 76540591 107812736 141318848 148242512 153081182 215625472 282637696 296485024 306162364 565275392 592970048 612324728 841946501 1185940096 1224649456 1683893002 2371880192 2449298912 3367786004 3597407777 4898597824 6735572008 7194815554 9797195648 13471144016 14389631108 19594391296 26942288032 28779262216 39571485547 53884576064 57558524432 79142971094 107769152128 115117048864 158285942188 215538304256 230234097728 316571884376 460468195456 633143768752 920936390912 1266287537504 2532575075008 5065150150016 10130300300032