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10201442231024 = 241171899172771
BaseRepresentation
bin1001010001110011010101…
…0101110010001011110000
31100010020201001022212100122
42110130311111302023300
52314120023202343044
633410251115105412
72102013151143422
oct224346525621360
940106631285318
1010201442231024
113283453208790
121189136442268
1358ccb81c1325
14273a76996812
1512a569ceedee
hex947355722f0

10201442231024 has 80 divisors (see below), whose sum is σ = 22111517272320. Its totient is φ = 4520341056000.

The previous prime is 10201442231009. The next prime is 10201442231047. The reversal of 10201442231024 is 42013224410201.

It is a junction number, because it is equal to n+sod(n) for n = 10201442230984 and 10201442231002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3474242 + ... + 5698529.

It is an arithmetic number, because the mean of its divisors is an integer number (276393965904).

Almost surely, 210201442231024 is an apocalyptic number.

It is an amenable number.

10201442231024 is an abundant number, since it is smaller than the sum of its proper divisors (11910075041296).

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

10201442231024 is a wasteful number, since it uses less digits than its factorization.

10201442231024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9172950 (or 9172944 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 10201442231024 its reverse (42013224410201), we get a palindrome (52214666641225).

The spelling of 10201442231024 in words is "ten trillion, two hundred one billion, four hundred forty-two million, two hundred thirty-one thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 44 71 88 89 142 176 178 284 356 568 712 781 979 1136 1424 1562 1958 3124 3916 6248 6319 7832 12496 12638 15664 25276 50552 69509 101104 139018 278036 556072 1112144 9172771 18345542 36691084 73382168 100900481 146764336 201800962 403601924 651266741 807203848 816376619 1302533482 1614407696 1632753238 2605066964 3265506476 5210133928 6531012952 7163934151 8980142809 10420267856 13062025904 14327868302 17960285618 28655736604 35920571236 57311473208 57962739949 71841142472 114622946416 115925479898 143682284944 231850959796 463701919592 637590139439 927403839184 1275180278878 2550360557756 5100721115512 10201442231024