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1000101102 = 2371113212809
BaseRepresentation
bin111011100111000…
…101010011101110
32120200212101210120
4323213011103232
54022011213402
6243123345410
733532501440
oct7347052356
92520771716
101000101102
11473592840
1223ab22266
1312c274200
1496b76490
155cc013bc
hex3b9c54ee

1000101102 has 96 divisors (see below), whose sum is σ = 2700552960. Its totient is φ = 239765760.

The previous prime is 1000101097. The next prime is 1000101107. The reversal of 1000101102 is 2011010001.

It is an interprime number because it is at equal distance from previous prime (1000101097) and next prime (1000101107).

It is a super-2 number, since 2×10001011022 = 2000404428443228808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000101107) 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, 71674 + ... + 84482.

It is an arithmetic number, because the mean of its divisors is an integer number (28130760).

Almost surely, 21000101102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000101102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350276480).

1000101102 is an abundant number, since it is smaller than the sum of its proper divisors (1700451858).

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

1000101102 is a wasteful number, since it uses less digits than its factorization.

1000101102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12858 (or 12845 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 1000101102 is about 31624.3751242613. The cubic root of 1000101102 is about 1000.0336995310.

Adding to 1000101102 its reverse (2011010001), we get a palindrome (3011111103).

The spelling of 1000101102 in words is "one billion, one hundred one thousand, one hundred two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 169 182 231 273 286 338 429 462 507 546 858 1001 1014 1183 1859 2002 2366 3003 3549 3718 5577 6006 7098 11154 12809 13013 25618 26026 38427 39039 76854 78078 89663 140899 166517 179326 268989 281798 333034 422697 499551 537978 845394 986293 999102 1165619 1831687 1972586 2164721 2331238 2958879 3496857 3663374 4329442 5495061 5917758 6494163 6993714 10990122 12821809 12988326 15153047 23811931 25643618 30306094 38465427 45459141 47623862 71435793 76930854 90918282 142871586 166683517 333367034 500050551 1000101102