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11000232144 = 24321114714721
BaseRepresentation
bin10100011111010101…
…00011100011010000
31001101121212200200100
422033222203203100
5140012024412034
65015313052400
7536411300436
oct121752434320
931347780610
1011000232144
114735387250
12216bb57100
131063ca9205
14764d30d56
15445ad8099
hex28faa38d0

11000232144 has 120 divisors (see below), whose sum is σ = 33613991424. Its totient is φ = 3330432000.

The previous prime is 11000232071. The next prime is 11000232151. The reversal of 11000232144 is 44123200011.

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

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, 2327704 + ... + 2332424.

Almost surely, 211000232144 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 11000232144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16806995712).

11000232144 is an abundant number, since it is smaller than the sum of its proper divisors (22613759280).

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

11000232144 is a wasteful number, since it uses less digits than its factorization.

11000232144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6217 (or 6208 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11000232144 its reverse (44123200011), we get a palindrome (55123432155).

The spelling of 11000232144 in words is "eleven billion, two hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1471 1584 2942 4413 4721 5884 8826 9442 11768 13239 14163 16181 17652 18884 23536 26478 28326 32362 35304 37768 42489 48543 51931 52956 56652 64724 70608 75536 84978 97086 103862 105912 113304 129448 145629 155793 169956 194172 207724 211824 226608 258896 291258 311586 339912 388344 415448 467379 582516 623172 679824 776688 830896 934758 1165032 1246344 1869516 2330064 2492688 3739032 6944591 7478064 13889182 20833773 27778364 41667546 55556728 62501319 76390501 83335092 111113456 125002638 152781002 166670184 229171503 250005276 305562004 333340368 458343006 500010552 611124008 687514509 916686012 1000021104 1222248016 1375029018 1833372024 2750058036 3666744048 5500116072 11000232144