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11220330210232 = 23111361174192353
BaseRepresentation
bin1010001101000110111111…
…0010111110001110111000
31110201122122002211001100011
42203101233302332032320
52432313214013211412
635510314252351304
72235433146106303
oct243215762761670
943648562731304
1011220330210232
113636573987a50
1213126a9a75534
136350c3665510
142ab0d1737b3a
15146cee8747a7
hexa346fcbe3b8

11220330210232 has 128 divisors (see below), whose sum is σ = 25135995568320. Its totient is φ = 4627943424000.

The previous prime is 11220330210211. The next prime is 11220330210239. The reversal of 11220330210232 is 23201203302211.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220330210239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121447768 + ... + 121540120.

Almost surely, 211220330210232 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 11220330210232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12567997784160).

11220330210232 is an abundant number, since it is smaller than the sum of its proper divisors (13915665358088).

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

11220330210232 is a wasteful number, since it uses less digits than its factorization.

11220330210232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94185 (or 94181 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 11220330210232 its reverse (23201203302211), we get a palindrome (34421533512443).

The spelling of 11220330210232 in words is "eleven trillion, two hundred twenty billion, three hundred thirty million, two hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 61 88 104 122 143 244 286 488 572 671 793 1144 1342 1586 1741 2684 3172 3482 5368 6344 6964 8723 13928 17446 19151 22633 34892 38302 45266 69784 76604 90532 92353 106201 153208 181064 184706 212402 248963 369412 424804 497926 738824 849608 995852 1015883 1168211 1200589 1380613 1991704 2031766 2336422 2401178 2761226 4063532 4672844 4802356 5522452 5633533 8127064 9345688 9604712 11044904 11267066 13206479 15186743 22534132 26412958 30373486 45068264 52825916 60746972 61968863 73235929 105651832 121493944 123937726 146471858 160786573 247875452 292943716 321573146 495750904 585887432 643146292 805595219 1286292584 1611190438 1768652303 2090225449 3222380876 3537304606 4180450898 6444761752 7074609212 8360901796 9807980953 14149218424 16721803592 19615961906 22992479939 39231923812 45984959878 78463847624 91969919756 107887790483 127503752389 183939839512 215775580966 255007504778 431551161932 510015009556 863102323864 1020030019112 1402541276279 2805082552558 5610165105116 11220330210232