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1010100108 = 223232413881
BaseRepresentation
bin111100001101001…
…110011110001100
32121101200101212010
4330031032132030
54032041200413
6244121541220
734013465163
oct7415163614
92541611763
101010100108
114791a2186
12242344810
13131365494
149821a3da
155da28dc3
hex3c34e78c

1010100108 has 72 divisors (see below), whose sum is σ = 2524573296. Its totient is φ = 314124800.

The previous prime is 1010100103. The next prime is 1010100121. The reversal of 1010100108 is 8010010101.

It is a happy number.

It is a super-2 number, since 2×10101001082 = 2040604456363223328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1010100093 and 1010100102.

It is not an unprimeable number, because it can be changed into a prime (1010100103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258328 + ... + 262208.

It is an arithmetic number, because the mean of its divisors is an integer number (35063518).

Almost surely, 21010100108 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 1010100108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262286648).

1010100108 is an abundant number, since it is smaller than the sum of its proper divisors (1514473188).

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

1010100108 is a wasteful number, since it uses less digits than its factorization.

1010100108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3975 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 1010100108 is about 31782.0721162104. The cubic root of 1010100108 is about 1003.3554311556.

Adding to 1010100108 its reverse (8010010101), we get a palindrome (9020110209).

The spelling of 1010100108 in words is "one billion, ten million, one hundred thousand, one hundred eight".

Divisors: 1 2 3 4 6 12 23 41 46 69 82 92 123 138 164 246 276 492 529 943 1058 1587 1886 2116 2829 3174 3772 3881 5658 6348 7762 11316 11643 15524 21689 23286 43378 46572 65067 86756 89263 130134 159121 178526 260268 267789 318242 357052 477363 535578 636484 954726 1071156 1909452 2053049 3659783 4106098 6159147 7319566 8212196 10979349 12318294 14639132 21958698 24636588 43917396 84175009 168350018 252525027 336700036 505050054 1010100108