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10130330234440 = 23513523128329033
BaseRepresentation
bin1001001101101010011010…
…1111000010111001001000
31022212110011010120010221101
42103122212233002321020
52311433404020000230
633313450502151144
72063615012144263
oct223324657027110
938773133503841
1010130330234440
113256281358179
1211773ab1224b4
13586394585740
1427044c3dbcda
151287a6c88aca
hex936a6bc2e48

10130330234440 has 128 divisors (see below), whose sum is σ = 24613520077440. Its totient is φ = 3730239461376.

The previous prime is 10130330234419. The next prime is 10130330234447. The reversal of 10130330234440 is 4443203303101.

It is a super-2 number, since 2×101303302344402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10130330234399 and 10130330234408.

It is not an unprimeable number, because it can be changed into a prime (10130330234447) 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, 348910164 + ... + 348939196.

It is an arithmetic number, because the mean of its divisors is an integer number (192293125605).

Almost surely, 210130330234440 is an apocalyptic number.

10130330234440 is a gapful number since it is divisible by the number (10) 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 10130330234440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12306760038720).

10130330234440 is an abundant number, since it is smaller than the sum of its proper divisors (14483189843000).

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

10130330234440 is a wasteful number, since it uses less digits than its factorization.

10130330234440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30863 (or 30859 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 10130330234440 its reverse (4443203303101), we get a palindrome (14573533537541).

The spelling of 10130330234440 in words is "ten trillion, one hundred thirty billion, three hundred thirty million, two hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 523 1046 1283 2092 2566 2615 4184 5132 5230 6415 6799 10264 10460 12830 13598 16679 20920 25660 27196 29033 33358 33995 51320 54392 58066 66716 67990 83395 116132 133432 135980 145165 166790 232264 271960 290330 333580 377429 580660 667160 671009 754858 1161320 1342018 1509716 1887145 2684036 3019432 3355045 3774290 5368072 6710090 7548580 8723117 13420180 15097160 15184259 17446234 26840360 30368518 34892468 37249339 43615585 60737036 69784936 74498678 75921295 87231170 121474072 148997356 151842590 174462340 186246695 197395367 297994712 303685180 348924680 372493390 394790734 484241407 607370360 744986780 789581468 968482814 986976835 1489973560 1579162936 1936965628 1973953670 2421207035 3873931256 3947907340 4842414070 7895814680 9684828140 19369656280 19481404297 38962808594 77925617188 97407021485 155851234376 194814042970 253258255861 389628085940 506516511722 779256171880 1013033023444 1266291279305 2026066046888 2532582558610 5065165117220 10130330234440