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13202204112 = 24321931155657
BaseRepresentation
bin11000100101110100…
…11010010111010000
31021002002021110100200
430102322122113100
5204014231012422
610022013015200
7645106611666
oct142272322720
937062243320
1013202204112
115665333399
122685484500
13132524b2c6
148d3562c36
155240942ac
hex312e9a5d0

13202204112 has 120 divisors (see below), whose sum is σ = 40147311360. Its totient is φ = 4034603520.

The previous prime is 13202204111. The next prime is 13202204149. The reversal of 13202204112 is 21140220231.

It is a happy number.

13202204112 is a `hidden beast` number, since 1 + 32 + 0 + 220 + 411 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13202204111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6988 + ... + 162644.

It is an arithmetic number, because the mean of its divisors is an integer number (334560928).

Almost surely, 213202204112 is an apocalyptic number.

13202204112 is a gapful number since it is divisible by the number (12) 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 13202204112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20073655680).

13202204112 is an abundant number, since it is smaller than the sum of its proper divisors (26945107248).

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

13202204112 is a wasteful number, since it uses less digits than its factorization.

13202204112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155721 (or 155712 counting only the distinct ones).

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

Adding to 13202204112 its reverse (21140220231), we get a palindrome (34342424343).

The spelling of 13202204112 in words is "thirteen billion, two hundred two million, two hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 31 36 38 48 57 62 72 76 93 114 124 144 152 171 186 228 248 279 304 342 372 456 496 558 589 684 744 912 1116 1178 1368 1488 1767 2232 2356 2736 3534 4464 4712 5301 7068 9424 10602 14136 21204 28272 42408 84816 155657 311314 466971 622628 933942 1245256 1400913 1867884 2490512 2801826 2957483 3735768 4825367 5603652 5914966 7471536 8872449 9650734 11207304 11829932 14476101 17744898 19301468 22414608 23659864 26617347 28952202 35489796 38602936 43428303 47319728 53234694 57904404 70979592 77205872 86856606 91681973 106469388 115808808 141959184 173713212 183363946 212938776 231617616 275045919 347426424 366727892 425877552 550091838 694852848 733455784 825137757 1100183676 1466911568 1650275514 2200367352 3300551028 4400734704 6601102056 13202204112