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10011211020 = 2232567830117
BaseRepresentation
bin10010101001011011…
…01111010100001100
3221211200212012202100
421110231233110030
5131000332223040
64333222555100
7503041614066
oct112455572414
927750765670
1010011211020
114278082018
121b34898a90
13c37114305
146ad840736
153d8d74b30
hex254b6f50c

10011211020 has 72 divisors (see below), whose sum is σ = 30820621104. Its totient is φ = 2629807488.

The previous prime is 10011211003. The next prime is 10011211033. The reversal of 10011211020 is 2011211001.

It is a happy number.

10011211020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10011210993 and 10011211011.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 402999 + ... + 427118.

It is an arithmetic number, because the mean of its divisors is an integer number (428064182).

Almost surely, 210011211020 is an apocalyptic number.

10011211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011211020 is an abundant number, since it is smaller than the sum of its proper divisors (20809410084).

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

10011211020 is a wasteful number, since it uses less digits than its factorization.

10011211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830199 (or 830194 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10011211020 its reverse (2011211001), we get a palindrome (12022422021).

The spelling of 10011211020 in words is "ten billion, eleven million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 4020 6030 12060 830117 1660234 2490351 3320468 4150585 4980702 7471053 8301170 9961404 12451755 14942106 16602340 24903510 29884212 37355265 49807020 55617839 74710530 111235678 149421060 166853517 222471356 278089195 333707034 500560551 556178390 667414068 834267585 1001121102 1112356780 1668535170 2002242204 2502802755 3337070340 5005605510 10011211020