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131464211220 = 22335243452243
BaseRepresentation
bin111101001101111100…
…0001010101100010100
3110120022222002212211000
41322123320022230110
54123214314224340
6140221022143300
712332543233506
oct1723370125424
9416288085730
10131464211220
1150832135751
122158b121b30
13c521345cc4
146511b33d76
15364668dd30
hex1e9be0ab14

131464211220 has 48 divisors (see below), whose sum is σ = 408999769920. Its totient is φ = 35057122848.

The previous prime is 131464211173. The next prime is 131464211231. The reversal of 131464211220 is 22112464131.

131464211220 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 642 + 1 + 12 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 121725582 + ... + 121726661.

It is an arithmetic number, because the mean of its divisors is an integer number (8520828540).

Almost surely, 2131464211220 is an apocalyptic number.

131464211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131464211220 is an abundant number, since it is smaller than the sum of its proper divisors (277535558700).

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

131464211220 is a wasteful number, since it uses less digits than its factorization.

131464211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243452261 (or 243452253 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 131464211220 its reverse (22112464131), we get a palindrome (153576675351).

The spelling of 131464211220 in words is "one hundred thirty-one billion, four hundred sixty-four million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 243452243 486904486 730356729 973808972 1217261215 1460713458 2191070187 2434522430 2921426916 3651783645 4382140374 4869044860 6573210561 7303567290 8764280748 10955350935 13146421122 14607134580 21910701870 26292842244 32866052805 43821403740 65732105610 131464211220