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1030342130532 = 223211131163172093
BaseRepresentation
bin11101111111001010010…
…11010011101101100100
310122111111022111100201100
432333211023103231210
5113340120041134112
62105155503400100
7134303560415001
oct16774513235544
93574438440640
101030342130532
11367a692a9730
1214782b5b3030
13762124bcc30
1437c240b08a8
151bc054222dc
hexefe52d3b64

1030342130532 has 144 divisors (see below), whose sum is σ = 3062452655808. Its totient is φ = 287958101760.

The previous prime is 1030342130497. The next prime is 1030342130537. The reversal of 1030342130532 is 2350312430301.

1030342130532 is a `hidden beast` number, since 1 + 0 + 303 + 4 + 21 + 305 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1030342130496 and 1030342130505.

It is not an unprimeable number, because it can be changed into a prime (1030342130537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5901078 + ... + 6073170.

It is an arithmetic number, because the mean of its divisors is an integer number (21267032332).

Almost surely, 21030342130532 is an apocalyptic number.

1030342130532 is a gapful number since it is divisible by the number (12) 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 1030342130532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531226327904).

1030342130532 is an abundant number, since it is smaller than the sum of its proper divisors (2032110525276).

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

1030342130532 is a wasteful number, since it uses less digits than its factorization.

1030342130532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173290 (or 173285 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 1030342130532 its reverse (2350312430301), we get a palindrome (3380654560833).

The spelling of 1030342130532 in words is "one trillion, thirty billion, three hundred forty-two million, one hundred thirty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1163 1287 1716 2326 2574 3489 4652 5148 6978 10467 12793 13956 15119 20934 25586 30238 38379 41868 45357 51172 60476 76758 90714 115137 136071 153516 166309 172093 181428 230274 272142 332618 344186 460548 498927 516279 544284 665236 688372 997854 1032558 1496781 1548837 1893023 1995708 2065116 2237209 2993562 3097674 3786046 4474418 5679069 5987124 6195348 6711627 7572092 8948836 11358138 13423254 17037207 20134881 22716276 24609299 26846508 34074414 40269762 49218598 68148828 73827897 80539524 98437196 147655794 200144159 221483691 295311588 400288318 442967382 600432477 800576636 885934764 1200864954 1801297431 2201585749 2401729908 2601874067 3602594862 4403171498 5203748134 6604757247 7205189724 7805622201 8806342996 10407496268 13209514494 15611244402 19814271741 23416866603 26419028988 28620614737 31222488804 39628543482 46833733206 57241229474 79257086964 85861844211 93667466412 114482458948 171723688422 257585532633 343447376844 515171065266 1030342130532