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11030002320 = 24351133171283
BaseRepresentation
bin10100100010111000…
…00111101010010000
31001110200220011200110
422101130013222100
5140042140033240
65022255121320
7540222321111
oct122134075220
931420804613
1011030002320
11475016aaa7
122179b13240
13106a2006bc
14768c80208
15448518c80
hex291707a90

11030002320 has 160 divisors (see below), whose sum is σ = 34631390592. Its totient is φ = 2903842816.

The previous prime is 11030002307. The next prime is 11030002351. The reversal of 11030002320 is 2320003011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11030002296 and 11030002305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8596399 + ... + 8597681.

Almost surely, 211030002320 is an apocalyptic number.

11030002320 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 11030002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17315695296).

11030002320 is an abundant number, since it is smaller than the sum of its proper divisors (23601388272).

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

11030002320 is a wasteful number, since it uses less digits than its factorization.

11030002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 11030002320 its reverse (2320003011), we get a palindrome (13350005331).

The spelling of 11030002320 in words is "eleven billion, thirty million, two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 113 120 226 240 317 339 452 565 634 678 904 951 1130 1268 1283 1356 1585 1695 1808 1902 2260 2536 2566 2712 3170 3390 3804 3849 4520 4755 5072 5132 5424 6340 6415 6780 7608 7698 9040 9510 10264 12680 12830 13560 15216 15396 19020 19245 20528 25360 25660 27120 30792 35821 38040 38490 51320 61584 71642 76080 76980 102640 107463 143284 144979 153960 179105 214926 286568 289958 307920 358210 406711 429852 434937 537315 573136 579916 716420 724895 813422 859704 869874 1074630 1159832 1220133 1432840 1449790 1626844 1719408 1739748 2033555 2149260 2174685 2319664 2440266 2865680 2899580 3253688 3479496 4067110 4298520 4349370 4880532 5799160 6100665 6507376 6958992 8134220 8597040 8698740 9761064 11598320 12201330 16268440 17397480 19522128 24402660 32536880 34794960 45958343 48805320 91916686 97610640 137875029 183833372 229791715 275750058 367666744 459583430 551500116 689375145 735333488 919166860 1103000232 1378750290 1838333720 2206000464 2757500580 3676667440 5515001160 11030002320