Search a number
-
+
1034245011330 = 2355691615941
BaseRepresentation
bin11110000110011011100…
…11100111011110000010
310122212120022110020200000
433003031303213132002
5113421113210330310
62111043043540430
7134502361355136
oct17031563473602
93585508406600
101034245011330
11369691389853
1214853a68a716
13766b4c6915b
14380b45833c6
151bd82db14c0
hexf0cdce7782

1034245011330 has 96 divisors (see below), whose sum is σ = 2792671172928. Its totient is φ = 275399092800.

The previous prime is 1034245011323. The next prime is 1034245011341. The reversal of 1034245011330 is 331105424301.

It is a happy number.

1034245011330 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 24 + 501 + 133 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1034245011294 and 1034245011303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1371160 + ... + 1987100.

It is an arithmetic number, because the mean of its divisors is an integer number (29090324718).

Almost surely, 21034245011330 is an apocalyptic number.

1034245011330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034245011330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396335586464).

1034245011330 is an abundant number, since it is smaller than the sum of its proper divisors (1758426161598).

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

1034245011330 is an equidigital number, since it uses as much as digits as its factorization.

1034245011330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616654 (or 616642 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 1034245011330 in words is "one trillion, thirty-four billion, two hundred forty-five million, eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 691 810 1215 1382 2073 2430 3455 4146 6219 6910 10365 12438 18657 20730 31095 37314 55971 62190 93285 111942 167913 186570 279855 335826 559710 615941 839565 1231882 1679130 1847823 3079705 3695646 5543469 6159410 9239115 11086938 16630407 18478230 27717345 33260814 49891221 55434690 83152035 99782442 149673663 166304070 249456105 299347326 425615231 498912210 748368315 851230462 1276845693 1496736630 2128076155 2553691386 3830537079 4256152310 6384228465 7661074158 11491611237 12768456930 19152685395 22983222474 34474833711 38305370790 57458056185 68949667422 103424501133 114916112370 172374168555 206849002266 344748337110 517122505665 1034245011330