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131032210000 = 245423356237
BaseRepresentation
bin111101000001000100…
…0001101101001010000
3110112012212012221112211
41322002020031221100
54121323221210000
6140110111001504
712316046256646
oct1720210155120
9415185187484
10131032210000
11506302a284a
122148a509294
13c4829ab893
1464b05dd196
15361d7a87ba
hex1e8220da50

131032210000 has 100 divisors (see below), whose sum is σ = 318609303012. Its totient is φ = 52187008000.

The previous prime is 131032209977. The next prime is 131032210021. The reversal of 131032210000 is 12230131.

It can be written as a sum of positive squares in 10 ways, for example, as 114403591696 + 16628618304 = 338236^2 + 128952^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2301882 + ... + 2358118.

Almost surely, 2131032210000 is an apocalyptic number.

131032210000 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 131032210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159304651506).

131032210000 is an abundant number, since it is smaller than the sum of its proper divisors (187577093012).

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

131032210000 is an equidigital number, since it uses as much as digits as its factorization.

131032210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56498 (or 56477 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 131032210000 its reverse (12230131), we get a palindrome (131044440131).

The spelling of 131032210000 in words is "one hundred thirty-one billion, thirty-two million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 233 250 400 466 500 625 932 1000 1165 1250 1864 2000 2330 2500 3728 4660 5000 5825 9320 10000 11650 18640 23300 29125 46600 56237 58250 93200 112474 116500 145625 224948 233000 281185 291250 449896 466000 562370 582500 899792 1124740 1165000 1405925 2249480 2330000 2811850 4498960 5623700 7029625 11247400 13103221 14059250 22494800 26206442 28118500 35148125 52412884 56237000 65516105 70296250 104825768 112474000 131032210 140592500 209651536 262064420 281185000 327580525 524128840 562370000 655161050 1048257680 1310322100 1637902625 2620644200 3275805250 5241288400 6551610500 8189513125 13103221000 16379026250 26206442000 32758052500 65516105000 131032210000