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131301002000 = 2453779118717
BaseRepresentation
bin111101001001000100…
…1100100101100010000
3110112220120222222212002
41322102021210230100
54122401024031000
6140152512053132
712325522050050
oct1722211445420
9415816888762
10131301002000
1150758aa11a3
12215445341a8
13c4c65a08bc
1464d81ab560
1536371a08d5
hex1e92264b10

131301002000 has 160 divisors (see below), whose sum is σ = 367436958720. Its totient is φ = 44447270400.

The previous prime is 131301001963. The next prime is 131301002003. The reversal of 131301002000 is 200103131.

It is not an unprimeable number, because it can be changed into a prime (131301002003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1046642 + ... + 1165358.

It is an arithmetic number, because the mean of its divisors is an integer number (2296480992).

Almost surely, 2131301002000 is an apocalyptic number.

131301002000 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 131301002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183718479360).

131301002000 is an abundant number, since it is smaller than the sum of its proper divisors (236135956720).

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

131301002000 is a wasteful number, since it uses less digits than its factorization.

131301002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118826 (or 118810 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 131301002000 its reverse (200103131), we get a palindrome (131501105131).

The spelling of 131301002000 in words is "one hundred thirty-one billion, three hundred one million, two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 79 80 100 112 125 140 158 175 200 250 280 316 350 395 400 500 553 560 632 700 790 875 1000 1106 1264 1400 1580 1750 1975 2000 2212 2765 2800 3160 3500 3950 4424 5530 6320 7000 7900 8848 9875 11060 13825 14000 15800 19750 22120 27650 31600 39500 44240 55300 69125 79000 110600 118717 138250 158000 221200 237434 276500 474868 553000 593585 831019 949736 1106000 1187170 1662038 1899472 2374340 2967925 3324076 4155095 4748680 5935850 6648152 8310190 9378643 9497360 11871700 13296304 14839625 16620380 18757286 20775475 23743400 29679250 33240760 37514572 41550950 46893215 47486800 59358500 65650501 66481520 75029144 83101900 93786430 103877375 118717000 131301002 150058288 166203800 187572860 207754750 234466075 237434000 262602004 328252505 332407600 375145720 415509500 468932150 525204008 656505010 750291440 831019000 937864300 1050408016 1172330375 1313010020 1641262525 1662038000 1875728600 2344660750 2626020040 3282525050 3751457200 4689321500 5252040080 6565050100 8206312625 9378643000 13130100200 16412625250 18757286000 26260200400 32825250500 65650501000 131301002000