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202421132032 = 2872313273701
BaseRepresentation
bin1011110010000100111…
…1010101101100000000
3201100111002001221021011
42330201033111230000
511304024302211112
6232554015210304
720424120142660
oct2744117255400
9640432057234
10202421132032
11789344a7569
1233292516994
131611bac6592
149b238821a0
1553eacc1aa7
hex2f213d5b00

202421132032 has 144 divisors (see below), whose sum is σ = 482343708672. Its totient is φ = 82895155200.

The previous prime is 202421131931. The next prime is 202421132033. The reversal of 202421132032 is 230231124202.

It is a junction number, because it is equal to n+sod(n) for n = 202421131994 and 202421132012.

It is not an unprimeable number, because it can be changed into a prime (202421132033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54691782 + ... + 54695482.

It is an arithmetic number, because the mean of its divisors is an integer number (3349609088).

Almost surely, 2202421132032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202421132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241171854336).

202421132032 is an abundant number, since it is smaller than the sum of its proper divisors (279922576640).

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

202421132032 is a wasteful number, since it uses less digits than its factorization.

202421132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5074 (or 5060 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 202421132032 its reverse (230231124202), we get a palindrome (432652256234).

The spelling of 202421132032 in words is "two hundred two billion, four hundred twenty-one million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 256 322 368 448 644 736 896 1288 1327 1472 1792 2576 2654 2944 3701 5152 5308 5888 7402 9289 10304 10616 14804 18578 20608 21232 25907 29608 30521 37156 41216 42464 51814 59216 61042 74312 84928 85123 103628 118432 122084 148624 169856 170246 207256 213647 236864 244168 297248 339712 340492 414512 427294 473728 488336 594496 595861 680984 829024 854588 947456 976672 1188992 1191722 1361968 1658048 1709176 1953344 2377984 2383444 2723936 3316096 3418352 3906688 4766888 4911227 5447872 6632192 6836704 7813376 9533776 9822454 10895744 13673408 19067552 19644908 21791488 27346816 34378589 38135104 39289816 54693632 68757178 76270208 78579632 112958221 137514356 152540416 157159264 225916442 275028712 314318528 451832884 550057424 628637056 790707547 903665768 1100114848 1257274112 1581415094 1807331536 2200229696 3162830188 3614663072 4400459392 6325660376 7229326144 8800918784 12651320752 14458652288 25302641504 28917304576 50605283008 101210566016 202421132032