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131223322100 = 225213191528487
BaseRepresentation
bin111101000110110000…
…1001111110111110100
3110112201011211110001202
41322031201033313310
54122221132301400
6140141055112032
712323556556043
oct1721541176764
9415634743052
10131223322100
1150719165132
1221522512618
13c4b3473570
1464cbb4a55a
1536304594d5
hex1e8d84fdf4

131223322100 has 72 divisors (see below), whose sum is σ = 308264936448. Its totient is φ = 48197923200.

The previous prime is 131223322091. The next prime is 131223322157. The reversal of 131223322100 is 1223322131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15944 + ... + 512543.

Almost surely, 2131223322100 is an apocalyptic number.

131223322100 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 131223322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154132468224).

131223322100 is an abundant number, since it is smaller than the sum of its proper divisors (177041614348).

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

131223322100 is a wasteful number, since it uses less digits than its factorization.

131223322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528705 (or 528698 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 131223322100 its reverse (1223322131), we get a palindrome (132446644231).

The spelling of 131223322100 in words is "one hundred thirty-one billion, two hundred twenty-three million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 191 260 325 382 650 764 955 1300 1910 2483 3820 4775 4966 9550 9932 12415 19100 24830 49660 62075 124150 248300 528487 1056974 2113948 2642435 5284870 6870331 10569740 13212175 13740662 26424350 27481324 34351655 52848700 68703310 100941017 137406620 171758275 201882034 343516550 403764068 504705085 687033100 1009410170 1312233221 2018820340 2523525425 2624466442 5047050850 5248932884 6561166105 10094101700 13122332210 26244664420 32805830525 65611661050 131223322100