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131503210000 = 245425795099
BaseRepresentation
bin111101001111000110…
…0111011111000010000
3110120102200111020002021
41322132030323320100
54123304310210000
6140224534101224
712333525561541
oct1723614737020
9416380436067
10131503210000
1150852152048
12215a01aa814
13c52944bbc6
146516da64c8
153649ce411a
hex1e9e33be10

131503210000 has 100 divisors (see below), whose sum is σ = 318568338000. Its totient is φ = 52570576000.

The previous prime is 131503209989. The next prime is 131503210019. The reversal of 131503210000 is 12305131.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 25787451 + ... + 25792549.

It is an arithmetic number, because the mean of its divisors is an integer number (3185683380).

Almost surely, 2131503210000 is an apocalyptic number.

131503210000 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 131503210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159284169000).

131503210000 is an abundant number, since it is smaller than the sum of its proper divisors (187065128000).

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

131503210000 is an equidigital number, since it uses as much as digits as its factorization.

131503210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7706 (or 7685 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

Adding to 131503210000 its reverse (12305131), we get a palindrome (131515515131).

The spelling of 131503210000 in words is "one hundred thirty-one billion, five hundred three million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 2579 5000 5099 5158 10000 10198 10316 12895 20396 20632 25495 25790 40792 41264 50990 51580 64475 81584 101980 103160 127475 128950 203960 206320 254950 257900 322375 407920 509900 515800 637375 644750 1019800 1031600 1274750 1289500 1611875 2039600 2549500 2579000 3186875 3223750 5099000 5158000 6373750 6447500 10198000 12747500 12895000 13150321 25495000 25790000 26300642 50990000 52601284 65751605 105202568 131503210 210405136 263006420 328758025 526012840 657516050 1052025680 1315032100 1643790125 2630064200 3287580250 5260128400 6575160500 8218950625 13150321000 16437901250 26300642000 32875802500 65751605000 131503210000