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11133211232 = 2511137134267
BaseRepresentation
bin10100101111001011…
…10101001001100000
31001201220002201200202
422113211311021200
5140300100224412
65040423204332
7542614506533
oct122745651140
931656081622
1011133211232
1147a3453420
1221a85a66a8
1310856c8970
14778868a1a
154526043c2
hex297975260

11133211232 has 96 divisors (see below), whose sum is σ = 26113860864. Its totient is φ = 4605350400.

The previous prime is 11133211231. The next prime is 11133211259. The reversal of 11133211232 is 23211233111.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11133211231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307763 + ... + 342029.

It is an arithmetic number, because the mean of its divisors is an integer number (272019384).

Almost surely, 211133211232 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 11133211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13056930432).

11133211232 is an abundant number, since it is smaller than the sum of its proper divisors (14980649632).

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

11133211232 is a wasteful number, since it uses less digits than its factorization.

11133211232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34372 (or 34364 counting only the distinct ones).

The product of its digits is 216, while the sum is 20.

Adding to 11133211232 its reverse (23211233111), we get a palindrome (34344444343).

The spelling of 11133211232 in words is "eleven billion, one hundred thirty-three million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 71 88 104 142 143 176 208 284 286 352 416 568 572 781 923 1136 1144 1562 1846 2272 2288 3124 3692 4576 6248 7384 10153 12496 14768 20306 24992 29536 34267 40612 68534 81224 137068 162448 274136 324896 376937 445471 548272 753874 890942 1096544 1507748 1781884 2432957 3015496 3563768 4865914 4900181 6030992 7127536 9731828 9800362 12061984 14255072 19463656 19600724 26762527 31628441 38927312 39201448 53525054 63256882 77854624 78402896 107050108 126513764 156805792 214100216 253027528 347912851 428200432 506055056 695825702 856400864 1012110112 1391651404 2783302808 5566605616 11133211232