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13332431220 = 22351724317881
BaseRepresentation
bin11000110101010110…
…01100000101110100
31021102011022200100220
430122223030011310
5204301100244340
610042544134340
7651250536603
oct143253140564
937364280326
1013332431220
11572189a9a9
1227010073b0
131346216274
14906981a3a
15530719ed0
hex31aacc174

13332431220 has 144 divisors (see below), whose sum is σ = 40580409408. Its totient is φ = 3268177920.

The previous prime is 13332431207. The next prime is 13332431243. The reversal of 13332431220 is 2213423331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 736680 + ... + 754560.

Almost surely, 213332431220 is an apocalyptic number.

13332431220 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 13332431220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20290204704).

13332431220 is an abundant number, since it is smaller than the sum of its proper divisors (27247978188).

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

13332431220 is a wasteful number, since it uses less digits than its factorization.

13332431220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17970 (or 17951 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13332431220 its reverse (2213423331), we get a palindrome (15545854551).

The spelling of 13332431220 in words is "thirteen billion, three hundred thirty-two million, four hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 43 51 60 68 85 86 102 129 170 172 204 215 255 258 289 340 430 510 516 578 645 731 860 867 1020 1156 1290 1445 1462 1734 2193 2580 2890 2924 3468 3655 4335 4386 5780 7310 8670 8772 10965 12427 14620 17340 17881 21930 24854 35762 37281 43860 49708 53643 62135 71524 74562 89405 107286 124270 149124 178810 186405 214572 248540 268215 303977 357620 372810 536430 607954 745620 768883 911931 1072860 1215908 1519885 1537766 1823862 2306649 3039770 3075532 3647724 3844415 4559655 4613298 5167609 6079540 7688830 9119310 9226596 10335218 11533245 13071011 15377660 15502827 18238620 20670436 23066490 25838045 26142022 31005654 39213033 46132980 51676090 52284044 62011308 65355055 77514135 78426066 103352180 130710110 155028270 156852132 196065165 222207187 261420220 310056540 392130330 444414374 666621561 784260660 888828748 1111035935 1333243122 2222071870 2666486244 3333107805 4444143740 6666215610 13332431220