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131022122220 = 22325111712133209
BaseRepresentation
bin111101000000110000…
…1101110110011101100
3110112012011020102201100
41322001201232303230
54121313130402340
6140105110443100
712315564443343
oct1720141566354
9415164212640
10131022122220
1150625632740
1221487063490
13c480889092
1464ad134b5a
15361c964830
hex1e8186ecec

131022122220 has 288 divisors, whose sum is σ = 459589515840. Its totient is φ = 29860577280.

The previous prime is 131022122219. The next prime is 131022122239. The reversal of 131022122220 is 22221220131.

It is a super-2 number, since 2×1310221222202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131022122193 and 131022122202.

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 95 ways as a sum of consecutive naturals, for example, 40827976 + ... + 40831184.

It is an arithmetic number, because the mean of its divisors is an integer number (1595796930).

Almost surely, 2131022122220 is an apocalyptic number.

131022122220 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 131022122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229794757920).

131022122220 is an abundant number, since it is smaller than the sum of its proper divisors (328567393620).

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

131022122220 is a wasteful number, since it uses less digits than its factorization.

131022122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4465 (or 4460 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 131022122220 its reverse (22221220131), we get a palindrome (153243342351).

The spelling of 131022122220 in words is "one hundred thirty-one billion, twenty-two million, one hundred twenty-two thousand, two hundred twenty".