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131030224110 = 232529257195343
BaseRepresentation
bin111101000001000000…
…0101000110011101110
3110112012201111001102100
41322002000220303232
54121322214132420
6140110000235530
712316023346122
oct1720200506356
9415181431370
10131030224110
115062a166815
122148990bba6
13c4824649b6
1464b0243582
15361d515190
hex1e82028cee

131030224110 has 96 divisors (see below), whose sum is σ = 353799239040. Its totient is φ = 33605074944.

The previous prime is 131030224109. The next prime is 131030224147. The reversal of 131030224110 is 11422030131.

131030224110 is a `hidden beast` number, since 1 + 310 + 302 + 2 + 41 + 10 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 573099 + ... + 768441.

It is an arithmetic number, because the mean of its divisors is an integer number (3685408740).

Almost surely, 2131030224110 is an apocalyptic number.

131030224110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131030224110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176899619520).

131030224110 is an abundant number, since it is smaller than the sum of its proper divisors (222769014930).

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

131030224110 is a wasteful number, since it uses less digits than its factorization.

131030224110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195642 (or 195639 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131030224110 its reverse (11422030131), we get a palindrome (142452254241).

The spelling of 131030224110 in words is "one hundred thirty-one billion, thirty million, two hundred twenty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 257 261 290 435 514 522 771 870 1285 1305 1542 2313 2570 2610 3855 4626 7453 7710 11565 14906 22359 23130 37265 44718 67077 74530 111795 134154 195343 223590 335385 390686 586029 670770 976715 1172058 1758087 1953430 2930145 3516174 5664947 5860290 8790435 11329894 16994841 17580870 28324735 33989682 50203151 50984523 56649470 84974205 100406302 101969046 150609453 169948410 251015755 254922615 301218906 451828359 502031510 509845230 753047265 903656718 1455891379 1506094530 2259141795 2911782758 4367674137 4518283590 7279456895 8735348274 13103022411 14558913790 21838370685 26206044822 43676741370 65515112055 131030224110