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111002000001021 = 3429339411392269
BaseRepresentation
bin11001001111010010101010…
…110001111000011111111101
3112120000200120020022210020000
4121033102222301320133331
5104022124044000013041
61032025340445144513
732244426016143423
oct3117225261703775
9476020506283200
10111002000001021
1132406758203498
1210548b2125b139
1349c259ca1494c
141d5a74dc43113
15cc763b83bbb6
hex64f4aac787fd

111002000001021 has 40 divisors (see below), whose sum is σ = 171540834874200. Its totient is φ = 71447406791040.

The previous prime is 111002000000999. The next prime is 111002000001023. The reversal of 111002000001021 is 120100000200111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 37478749316121 + 73523250684900 = 6121989^2 + 8574570^2 .

It is not a de Polignac number, because 111002000001021 - 231 = 110999852517373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 111002000000994 and 111002000001012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111002000001023) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79031275 + ... + 80423543.

It is an arithmetic number, because the mean of its divisors is an integer number (4288520871855).

Almost surely, 2111002000001021 is an apocalyptic number.

It is an amenable number.

111002000001021 is a deficient number, since it is larger than the sum of its proper divisors (60538834873179).

111002000001021 is a wasteful number, since it uses less digits than its factorization.

111002000001021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426251 (or 1426242 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 111002000001021 its reverse (120100000200111), we get a palindrome (231102000201132).

The spelling of 111002000001021 in words is "one hundred eleven trillion, two billion, one thousand, twenty-one".

Divisors: 1 3 9 27 29 81 87 261 783 2349 33941 101823 305469 916407 984289 1392269 2749221 2952867 4176807 8858601 12530421 26575803 37591263 40375801 79727409 112773789 121127403 363382209 1090146627 3270439881 47255002129 141765006387 425295019161 1275885057483 1370395061741 3827655172449 4111185185223 12333555555669 37000666667007 111002000001021