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1002201012 = 22356771523
BaseRepresentation
bin111011101111000…
…101111110110100
32120211211002100000
4323233011332310
54023030413022
6243240351300
733556365561
oct7357057664
92524732300
101002201012
114747974aa
1223b775530
1312c82ac67
1497161868
155ceb86ac
hex3bbc5fb4

1002201012 has 72 divisors (see below), whose sum is σ = 2632777056. Its totient is φ = 333354528.

The previous prime is 1002200987. The next prime is 1002201041. The reversal of 1002201012 is 2101022001.

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 = 1002200985 and 1002201003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 657283 + ... + 658805.

It is an arithmetic number, because the mean of its divisors is an integer number (36566348).

Almost surely, 21002201012 is an apocalyptic number.

1002201012 is a gapful number since it is divisible by the number (12) 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 1002201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316388528).

1002201012 is an abundant number, since it is smaller than the sum of its proper divisors (1630576044).

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

1002201012 is a wasteful number, since it uses less digits than its factorization.

1002201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1002201012 is about 31657.5585287305. The cubic root of 1002201012 is about 1000.7331330512.

Adding to 1002201012 its reverse (2101022001), we get a palindrome (3103223013).

The spelling of 1002201012 in words is "one billion, two million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 677 972 1354 1523 2031 2708 3046 4062 4569 6092 6093 8124 9138 12186 13707 18276 18279 24372 27414 36558 41121 54828 54837 73116 82242 109674 123363 164484 164511 219348 246726 329022 370089 493452 658044 740178 1031071 1480356 2062142 3093213 4124284 6186426 9279639 12372852 18559278 27838917 37118556 55677834 83516751 111355668 167033502 250550253 334067004 501100506 1002201012