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131122201010 = 2531357417297
BaseRepresentation
bin111101000011101111…
…1100000000110110010
3110112110010112222000012
41322013133200012302
54122014240413020
6140123043454522
712321221214263
oct1720737400662
9415403488005
10131122201010
1150677078389
12214b4687442
13c4985296b8
1464bc54696a
1536266327c5
hex1e877e01b2

131122201010 has 32 divisors (see below), whose sum is σ = 236847715632. Its totient is φ = 52265041920.

The previous prime is 131122200977. The next prime is 131122201031. The reversal of 131122201010 is 10102221131.

It can be written as a sum of positive squares in 8 ways, for example, as 10031424649 + 121090776361 = 100157^2 + 347981^2 .

It is a super-3 number, since 3×1311222010103 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17965682 + ... + 17972978.

Almost surely, 2131122201010 is an apocalyptic number.

131122201010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131122201010 is a deficient number, since it is larger than the sum of its proper divisors (105725514622).

131122201010 is a wasteful number, since it uses less digits than its factorization.

131122201010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13358.

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

Adding to 131122201010 its reverse (10102221131), we get a palindrome (141224422141).

It can be divided in two parts, 13112 and 2201010, that added together give a palindrome (2214122).

The spelling of 131122201010 in words is "one hundred thirty-one billion, one hundred twenty-two million, two hundred one thousand, ten".

Divisors: 1 2 5 10 313 626 1565 3130 5741 7297 11482 14594 28705 36485 57410 72970 1796933 2283961 3593866 4567922 8984665 11419805 17969330 22839610 41892077 83784154 209460385 418920770 13112220101 26224440202 65561100505 131122201010