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1001102000 = 24531313821
BaseRepresentation
bin111011101010111…
…001101010110000
32120202202020202212
4323222321222300
54022240231000
6243201031252
733544140503
oct7352715260
92522666685
101001102000
11474106828
1223b325528
1312c534962
1496d5713a
155cd4cc35
hex3bab9ab0

1001102000 has 80 divisors (see below), whose sum is σ = 2439781344. Its totient is φ = 397280000.

The previous prime is 1001101991. The next prime is 1001102009. The reversal of 1001102000 is 2011001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1001101991) and next prime (1001102009).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (1001102009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260090 + ... + 263910.

Almost surely, 21001102000 is an apocalyptic number.

1001102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219890672).

1001102000 is an abundant number, since it is smaller than the sum of its proper divisors (1438679344).

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

1001102000 is a wasteful number, since it uses less digits than its factorization.

1001102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3975 (or 3959 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 1001102000 is about 31640.1959538812. The cubic root of 1001102000 is about 1000.3671984821.

Adding to 1001102000 its reverse (2011001), we get a palindrome (1003113001).

Subtracting from 1001102000 its reverse (2011001), we obtain a palindrome (999090999).

The spelling of 1001102000 in words is "one billion, one million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 131 200 250 262 400 500 524 655 1000 1048 1310 2000 2096 2620 3275 3821 5240 6550 7642 10480 13100 15284 16375 19105 26200 30568 32750 38210 52400 61136 65500 76420 95525 131000 152840 191050 262000 305680 382100 477625 500551 764200 955250 1001102 1528400 1910500 2002204 2502755 3821000 4004408 5005510 7642000 8008816 10011020 12513775 20022040 25027550 40044080 50055100 62568875 100110200 125137750 200220400 250275500 500551000 1001102000