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202321431312 = 243711134210819
BaseRepresentation
bin1011110001101101001…
…1000000101100010000
3201100020010110121120220
42330123103000230100
511303323241300222
6232540054233040
720421466535220
oct2743323005420
9640203417526
10202321431312
117889319a980
1233265055780
1316104259080
149b1452c080
1553e217ab5c
hex2f1b4c0b10

202321431312 has 160 divisors (see below), whose sum is σ = 701758417920. Its totient is φ = 48508623360.

The previous prime is 202321431311. The next prime is 202321431313. The reversal of 202321431312 is 213134123202.

It is an interprime number because it is at equal distance from previous prime (202321431311) and next prime (202321431313).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (202321431311) 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, 2057362 + ... + 2153457.

It is an arithmetic number, because the mean of its divisors is an integer number (4385990112).

Almost surely, 2202321431312 is an apocalyptic number.

202321431312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

202321431312 is an abundant number, since it is smaller than the sum of its proper divisors (499436986608).

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

202321431312 is a wasteful number, since it uses less digits than its factorization.

202321431312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4210861 (or 4210855 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 202321431312 its reverse (213134123202), we get a palindrome (415455554514).

The spelling of 202321431312 in words is "two hundred two billion, three hundred twenty-one million, four hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 112 132 143 154 156 168 176 182 208 231 264 273 286 308 312 336 364 429 462 528 546 572 616 624 728 858 924 1001 1092 1144 1232 1456 1716 1848 2002 2184 2288 3003 3432 3696 4004 4368 6006 6864 8008 12012 16016 24024 48048 4210819 8421638 12632457 16843276 25264914 29475733 33686552 46319009 50529828 54740647 58951466 67373104 88427199 92638018 101059656 109481294 117902932 138957027 164221941 176854398 185276036 202119312 218962588 235805864 277914054 324233063 328443882 353708796 370552072 383184529 437925176 471611728 555828108 602147117 648466126 656887764 707417592 741104144 766369058 875850352 972699189 1111656216 1149553587 1204294234 1296932252 1313775528 1414835184 1532738116 1806441351 1945398378 2223312432 2299107174 2408588468 2593864504 2627551056 3065476232 3612882702 3890796756 4215029819 4598214348 4817176936 5187729008 6130952464 7225765404 7781593512 8430059638 9196428696 9634353872 12645089457 14451530808 15563187024 16860119276 18392857392 25290178914 28903061616 33720238552 50580357828 67440477104 101160715656 202321431312