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1303120130032 = 247217464921031
BaseRepresentation
bin10010111101101000000…
…000110010111111110000
311121120120200102110222201
4102331220000302333300
5132322242223130112
62434351202512544
7163101350226400
oct22755000627760
94546520373881
101303120130032
11462717383056
12190678365754
1395b6464cb26
14470ddb02800
1523d6cce8257
hex12f68032ff0

1303120130032 has 120 divisors (see below), whose sum is σ = 3110588632800. Its totient is φ = 525490237440.

The previous prime is 1303120130027. The next prime is 1303120130077. The reversal of 1303120130032 is 2300310213031.

It is a junction number, because it is equal to n+sod(n) for n = 1303120129991 and 1303120130009.

It is a congruent number.

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, 61951357 + ... + 61972387.

It is an arithmetic number, because the mean of its divisors is an integer number (25921571940).

Almost surely, 21303120130032 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 1303120130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555294316400).

1303120130032 is an abundant number, since it is smaller than the sum of its proper divisors (1807468502768).

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

1303120130032 is a wasteful number, since it uses less digits than its factorization.

1303120130032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25719 (or 25706 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 1303120130032 its reverse (2300310213031), we get a palindrome (3603430343063).

The spelling of 1303120130032 in words is "one trillion, three hundred three billion, one hundred twenty million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 238 272 392 476 784 833 952 1666 1904 3332 4649 6664 9298 13328 18596 21031 32543 37192 42062 65086 74384 79033 84124 130172 147217 158066 168248 227801 260344 294434 316132 336496 357527 455602 520688 553231 588868 632264 715054 911204 1030519 1106462 1177736 1264528 1430108 1822408 2061038 2212924 2355472 2502689 2860216 3644816 3872617 4122076 4425848 5005378 5720432 7745234 8244152 8851696 10010756 15490468 16488304 17518823 20021512 30980936 35037646 40043024 61961872 70075292 97773119 140150584 195546238 280301168 391092476 684411833 782184952 1368823666 1564369904 1662143023 2737647332 3324286046 4790882831 5475294664 6648572092 9581765662 10950589328 11635001161 13297144184 19163531324 23270002322 26594288368 38327062648 46540004644 76654125296 81445008127 93080009288 162890016254 186160018576 325780032508 651560065016 1303120130032