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10021431120232 = 23737109200322153
BaseRepresentation
bin1001000111010100101111…
…0101111001000101101000
31022111001001202122221222011
42101311023311321011220
52303142342331321412
633151440520205304
72053011256016350
oct221651365710550
938431052587864
1010021431120232
113214079677934
12115a279009834
1357902b18975c
1426907b507b60
15125a3164e7a7
hex91d4bd79168

10021431120232 has 128 divisors (see below), whose sum is σ = 22269342585600. Its totient is φ = 4138228942848.

The previous prime is 10021431120187. The next prime is 10021431120299. The reversal of 10021431120232 is 23202113412001.

10021431120232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 452362468 + ... + 452384620.

It is an arithmetic number, because the mean of its divisors is an integer number (173979238950).

Almost surely, 210021431120232 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 10021431120232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11134671292800).

10021431120232 is an abundant number, since it is smaller than the sum of its proper divisors (12247911465368).

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

10021431120232 is a wasteful number, since it uses less digits than its factorization.

10021431120232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24315 (or 24311 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10021431120232 its reverse (23202113412001), we get a palindrome (33223544532233).

The spelling of 10021431120232 in words is "ten trillion, twenty-one billion, four hundred thirty-one million, one hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 37 56 74 109 148 218 259 296 436 518 763 872 1036 1526 2003 2072 3052 4006 4033 6104 8012 8066 14021 16024 16132 22153 28042 28231 32264 44306 56084 56462 74111 88612 112168 112924 148222 155071 177224 218327 225848 296444 310142 436654 518777 592888 620284 819661 873308 1037554 1240568 1528289 1639322 1746616 2075108 2414677 3056578 3278644 4150216 4829354 5737627 6113156 6557288 8078099 9658708 11475254 12226312 16156198 16902739 19317416 22950508 32312396 33805478 44372459 45901016 56546693 64624792 67610956 88744918 89343049 113093386 135221912 177489836 178686098 226186772 310607213 354979672 357372196 452373544 621214426 625401343 714744392 1242428852 1250802686 1641780983 2484857704 2501605372 3283561966 4836598031 5003210744 6567123932 9673196062 11492466881 13134247864 19346392124 22984933762 33856186217 38692784248 45969867524 67712372434 91939735048 135424744868 178954127147 270849489736 357908254294 715816508588 1252678890029 1431633017176 2505357780058 5010715560116 10021431120232