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1002120002282 = 272372633493011
BaseRepresentation
bin11101001010100110000…
…00011011101011101010
310112210122110120200220002
432211103000123223222
5112404320210033112
62044211221303002
7132254316321500
oct16452300335352
93483573520802
101002120002282
11356aa6685aa3
12142273b64a62
137366556ab69
1436707c1c670
151b1029301c2
hexe95301baea

1002120002282 has 96 divisors (see below), whose sum is σ = 1808450582400. Its totient is φ = 414952917120.

The previous prime is 1002120002281. The next prime is 1002120002311. The reversal of 1002120002282 is 2822000212001.

It is a happy number.

1002120002282 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1002120002281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332818157 + ... + 332821167.

It is an arithmetic number, because the mean of its divisors is an integer number (18838026900).

Almost surely, 21002120002282 is an apocalyptic number.

1002120002282 is a deficient number, since it is larger than the sum of its proper divisors (806330580118).

1002120002282 is a wasteful number, since it uses less digits than its factorization.

1002120002282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3676 (or 3669 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 1002120002282 its reverse (2822000212001), we get a palindrome (3824120214283).

The spelling of 1002120002282 in words is "one trillion, two billion, one hundred twenty million, two thousand, two hundred eighty-two".

Divisors: 1 2 7 14 37 49 74 98 259 263 349 518 526 698 1813 1841 2443 3011 3626 3682 4886 6022 9731 12887 12913 17101 19462 21077 25774 25826 34202 42154 68117 90391 91787 111407 136234 147539 180782 183574 222814 295078 476819 632737 642509 779849 791893 953638 1050839 1265474 1285018 1559698 1583786 2101678 3396119 4497563 5458943 5543251 6792238 7355873 8995126 10917886 11086502 14711746 23772833 29300041 38802757 38881043 47545666 51491111 58600082 77605514 77762086 102982222 166409831 205100287 272167301 276370657 332819662 410200574 544334602 552741314 1435702009 1905171107 1934594599 2871404018 3810342214 3869189198 10225714309 13542162193 20451428618 27084324386 71580000163 143160000326 501060001141 1002120002282