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13212113220 = 22325196163331
BaseRepresentation
bin11000100111000000…
…01101100101000100
31021002202220220002200
430103200031211010
5204024300110340
610023005234500
7645260052345
oct142340154504
937082826080
1013212113220
11566a991239
122688862a30
13132730a697
148d49c20cc
15524da0330
hex31380d944

13212113220 has 144 divisors (see below), whose sum is σ = 42878297280. Its totient is φ = 3283027200.

The previous prime is 13212113209. The next prime is 13212113251. The reversal of 13212113220 is 2231121231.

13212113220 is a `hidden beast` number, since 1 + 321 + 21 + 1 + 322 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13212113193 and 13212113202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176955 + ... + 240285.

Almost surely, 213212113220 is an apocalyptic number.

13212113220 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 13212113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21439148640).

13212113220 is an abundant number, since it is smaller than the sum of its proper divisors (29666184060).

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

13212113220 is a wasteful number, since it uses less digits than its factorization.

13212113220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63426 (or 63421 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13212113220 its reverse (2231121231), we get a palindrome (15443234451).

The spelling of 13212113220 in words is "thirteen billion, two hundred twelve million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 61 76 90 95 114 122 171 180 183 190 228 244 285 305 342 366 380 549 570 610 684 732 855 915 1098 1140 1159 1220 1710 1830 2196 2318 2745 3420 3477 3660 4636 5490 5795 6954 10431 10980 11590 13908 17385 20862 23180 34770 41724 52155 63331 69540 104310 126662 189993 208620 253324 316655 379986 569979 633310 759972 949965 1139958 1203289 1266620 1899930 2279916 2406578 2849895 3609867 3799860 3863191 4813156 5699790 6016445 7219734 7726382 10829601 11399580 11589573 12032890 14439468 15452764 18049335 19315955 21659202 23179146 24065780 34768719 36098670 38631910 43318404 46358292 54148005 57947865 69537438 72197340 73400629 77263820 108296010 115895730 139074876 146801258 173843595 216592020 220201887 231791460 293602516 347687190 367003145 440403774 660605661 695374380 734006290 880807548 1101009435 1321211322 1468012580 2202018870 2642422644 3303028305 4404037740 6606056610 13212113220