Search a number
-
+
10211133020 = 22511370112541
BaseRepresentation
bin10011000001010000…
…11000011001011100
3222100122001022011212
421200220120121130
5131403022224040
64405124003552
7511020125054
oct114050303134
928318038155
1010211133020
11436aa11410
121b8b8305b8
13c69671c5a
146cc202564
153eb6b5d65
hex260a1865c

10211133020 has 48 divisors (see below), whose sum is σ = 23400963936. Its totient is φ = 3711840000.

The previous prime is 10211133001. The next prime is 10211133109. The reversal of 10211133020 is 2033111201.

It is a junction number, because it is equal to n+sod(n) for n = 10211132986 and 10211133004.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 807950 + ... + 820490.

It is an arithmetic number, because the mean of its divisors is an integer number (487520082).

Almost surely, 210211133020 is an apocalyptic number.

10211133020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211133020 is an abundant number, since it is smaller than the sum of its proper divisors (13189830916).

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

10211133020 is a wasteful number, since it uses less digits than its factorization.

10211133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16262 (or 16260 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10211133020 its reverse (2033111201), we get a palindrome (12244244221).

The spelling of 10211133020 in words is "ten billion, two hundred eleven million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 3701 7402 12541 14804 18505 25082 37010 40711 50164 62705 74020 81422 125410 137951 162844 203555 250820 275902 407110 551804 689755 814220 1379510 2759020 46414241 92828482 185656964 232071205 464142410 510556651 928284820 1021113302 2042226604 2552783255 5105566510 10211133020