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10002011000 = 235315976263
BaseRepresentation
bin10010101000010101…
…01001001101111000
3221211001112210200212
421110022221031320
5130441003323000
64332253450252
7502600455632
oct112412511570
927731483625
1010002011000
1142729689a3
121b317a0988
13c35242907
146ac527a52
153d8158c35
hex2542a9378

10002011000 has 64 divisors (see below), whose sum is σ = 23423100480. Its totient is φ = 3997660800.

The previous prime is 10002010981. The next prime is 10002011003. The reversal of 10002011000 is 11020001.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002011003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1593869 + ... + 1600131.

It is an arithmetic number, because the mean of its divisors is an integer number (365985945).

Almost surely, 210002011000 is an apocalyptic number.

10002011000 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 10002011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11711550240).

10002011000 is an abundant number, since it is smaller than the sum of its proper divisors (13421089480).

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

10002011000 is a wasteful number, since it uses less digits than its factorization.

10002011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7881 (or 7867 counting only the distinct ones).

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

Adding to 10002011000 its reverse (11020001), we get a palindrome (10013031001).

Subtracting from 10002011000 its reverse (11020001), we obtain a palindrome (9990990999).

The spelling of 10002011000 in words is "ten billion, two million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1597 3194 6263 6388 7985 12526 12776 15970 25052 31315 31940 39925 50104 62630 63880 79850 125260 156575 159700 199625 250520 313150 319400 399250 626300 782875 798500 1252600 1565750 1597000 3131500 6263000 10002011 20004022 40008044 50010055 80016088 100020110 200040220 250050275 400080440 500100550 1000201100 1250251375 2000402200 2500502750 5001005500 10002011000