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10011020100 = 2235283402049
BaseRepresentation
bin10010101001011010…
…00000101101000100
3221211200111111212020
421110231000231010
5131000310120400
64333214523140
7503040160344
oct112455005504
927750444766
1010011020100
114277a61634
121b348064b0
13c37078443
146ad7d0d24
153d8d382a0
hex254b40b44

10011020100 has 72 divisors (see below), whose sum is σ = 29314269600. Its totient is φ = 2637434880.

The previous prime is 10011020057. The next prime is 10011020147. The reversal of 10011020100 is 102011001.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176125 + ... + 225924.

Almost surely, 210011020100 is an apocalyptic number.

10011020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011020100 is an abundant number, since it is smaller than the sum of its proper divisors (19303249500).

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

10011020100 is a wasteful number, since it uses less digits than its factorization.

10011020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402149 (or 402142 counting only the distinct ones).

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

Adding to 10011020100 its reverse (102011001), we get a palindrome (10113031101).

Subtracting from 10011020100 its reverse (102011001), we obtain a palindrome (9909009099).

The spelling of 10011020100 in words is "ten billion, eleven million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 83 100 150 166 249 300 332 415 498 830 996 1245 1660 2075 2490 4150 4980 6225 8300 12450 24900 402049 804098 1206147 1608196 2010245 2412294 4020490 4824588 6030735 8040980 10051225 12061470 20102450 24122940 30153675 33370067 40204900 60307350 66740134 100110201 120614700 133480268 166850335 200220402 333700670 400440804 500551005 667401340 834251675 1001102010 1668503350 2002204020 2502755025 3337006700 5005510050 10011020100