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132211110020 = 225114183176597
BaseRepresentation
bin111101100100001100…
…1010111000010000100
3110122021000112021100112
41323020121113002010
54131232021010040
6140423102532152
712360212615153
oct1731031270204
9418230467315
10132211110020
11510857a7890
1221759297058
13c60ccc6062
146582dd959a
15368c027365
hex1ec8657084

132211110020 has 96 divisors (see below), whose sum is σ = 314011022976. Its totient is φ = 46338790400.

The previous prime is 132211110007. The next prime is 132211110029. The reversal of 132211110020 is 20011112231.

It is a super-2 number, since 2×1322111100202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132211109977 and 132211110004.

It is not an unprimeable number, because it can be changed into a prime (132211110029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 660362 + ... + 836958.

It is an arithmetic number, because the mean of its divisors is an integer number (3270948156).

Almost surely, 2132211110020 is an apocalyptic number.

132211110020 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 132211110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157005511488).

132211110020 is an abundant number, since it is smaller than the sum of its proper divisors (181799912956).

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

132211110020 is a wasteful number, since it uses less digits than its factorization.

132211110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176741 (or 176739 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 132211110020 its reverse (20011112231), we get a palindrome (152222222251).

The spelling of 132211110020 in words is "one hundred thirty-two billion, two hundred eleven million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 83 110 164 166 205 220 332 410 415 451 820 830 902 913 1660 1804 1826 2255 3403 3652 4510 4565 6806 9020 9130 13612 17015 18260 34030 37433 68060 74866 149732 176597 187165 353194 374330 706388 748660 882985 1765970 1942567 3531940 3885134 7240477 7770268 9712835 14480954 14657551 19425670 28961908 29315102 36202385 38851340 58630204 72404770 73287755 79645247 144809540 146575510 159290494 161233061 293151020 318580988 322466122 398226235 600959591 644932244 796452470 806165305 1201919182 1592904940 1612330610 2403838364 3004797955 3224661220 6009595910 6610555501 12019191820 13221111002 26442222004 33052777505 66105555010 132211110020