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11330300304 = 2433191353389
BaseRepresentation
bin10101000110101011…
…01010100110010000
31002020121221220002000
422203111222212100
5141201024102204
65112143354000
7550526651331
oct124325524620
932217856060
1011330300304
114894728354
1222425b2900
1310b74a400b
14796ad0288
15464a86039
hex2a356a990

11330300304 has 160 divisors (see below), whose sum is σ = 32869324800. Its totient is φ = 3736719360.

The previous prime is 11330300287. The next prime is 11330300327. The reversal of 11330300304 is 40300303311.

11330300304 is a `hidden beast` number, since 1 + 1 + 330 + 30 + 0 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 29126542 + ... + 29126930.

It is an arithmetic number, because the mean of its divisors is an integer number (205433280).

Almost surely, 211330300304 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 11330300304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16434662400).

11330300304 is an abundant number, since it is smaller than the sum of its proper divisors (21539024496).

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

11330300304 is a wasteful number, since it uses less digits than its factorization.

11330300304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 11330300304 its reverse (40300303311), we get a palindrome (51630603615).

The spelling of 11330300304 in words is "eleven billion, three hundred thirty million, three hundred thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 191 216 353 382 389 432 573 706 764 778 1059 1146 1167 1412 1528 1556 1719 2118 2292 2334 2824 3056 3112 3177 3438 3501 4236 4584 4668 5157 5648 6224 6354 6876 7002 8472 9168 9336 9531 10314 10503 12708 13752 14004 16944 18672 19062 20628 21006 25416 27504 28008 38124 41256 42012 50832 56016 67423 74299 76248 82512 84024 134846 137317 148598 152496 168048 202269 222897 269692 274634 297196 404538 411951 445794 539384 549268 594392 606807 668691 809076 823902 891588 1078768 1098536 1188784 1213614 1235853 1337382 1618152 1647804 1783176 1820421 2006073 2197072 2427228 2471706 2674764 3236304 3295608 3566352 3640842 3707559 4012146 4854456 4943412 5349528 6591216 7281684 7415118 8024292 9708912 9886824 10699056 14563368 14830236 16048584 19773648 26227547 29126736 29660472 32097168 52455094 59320944 78682641 104910188 157365282 209820376 236047923 314730564 419640752 472095846 629461128 708143769 944191692 1258922256 1416287538 1888383384 2832575076 3776766768 5665150152 11330300304