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202132430412 = 2231113146325247
BaseRepresentation
bin1011110001000000001…
…0000001111001001100
3201022201221211101002120
42330100002001321030
511302431400233122
6232505223252540
720414013211203
oct2742002017114
9638657741076
10202132430412
11787a653a790
12332118aa150
13160a4053313
149ad73b023a
1553d079575c
hex2f10081e4c

202132430412 has 96 divisors (see below), whose sum is σ = 519586873344. Its totient is φ = 60650990400.

The previous prime is 202132430399. The next prime is 202132430431. The reversal of 202132430412 is 214034231202.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7993573 + ... + 8018819.

It is an arithmetic number, because the mean of its divisors is an integer number (5412363264).

Almost surely, 2202132430412 is an apocalyptic number.

202132430412 is a gapful number since it is divisible by the number (22) 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 202132430412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259793436672).

202132430412 is an abundant number, since it is smaller than the sum of its proper divisors (317454442932).

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

202132430412 is a wasteful number, since it uses less digits than its factorization.

202132430412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25859 (or 25857 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 202132430412 its reverse (214034231202), we get a palindrome (416166661614).

The spelling of 202132430412 in words is "two hundred two billion, one hundred thirty-two million, four hundred thirty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 131 132 262 393 463 524 786 926 1389 1441 1572 1852 2778 2882 4323 5093 5556 5764 8646 10186 15279 17292 20372 25247 30558 50494 60653 61116 75741 100988 121306 151482 181959 242612 277717 302964 363918 555434 667183 727836 833151 1110868 1334366 1666302 2001549 2668732 3307357 3332604 4003098 6614714 8006196 9922071 11689361 13229428 19844142 23378722 35068083 36380927 39688284 46757444 70136166 72761854 109142781 128582971 140272332 145523708 218285562 257165942 385748913 436571124 514331884 771497826 1531306291 1542995652 3062612582 4593918873 6125225164 9187837746 16844369201 18375675492 33688738402 50533107603 67377476804 101066215206 202132430412