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131003203323030 = 2351091571433178069
BaseRepresentation
bin11101110010010110001111…
…011001100000010010010110
3122011211210011111001101100120
4131302112033121200102112
5114132324030022314110
61142342012450452410
736410445334230633
oct3562261731402226
9564753144041316
10131003203323030
1138818168036125
121283936b894106
13581371a3b3c2c
14244c835c1718a
151022a62167870
hex77258f660496

131003203323030 has 128 divisors (see below), whose sum is σ = 319537754236800. Its totient is φ = 34369027190784.

The previous prime is 131003203323001. The next prime is 131003203323037. The reversal of 131003203323030 is 30323302300131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131003203323037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 735598836 + ... + 735776904.

It is an arithmetic number, because the mean of its divisors is an integer number (2496388704975).

Almost surely, 2131003203323030 is an apocalyptic number.

131003203323030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131003203323030 is an abundant number, since it is smaller than the sum of its proper divisors (188534550913770).

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

131003203323030 is a wasteful number, since it uses less digits than its factorization.

131003203323030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179778.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 131003203323030 its reverse (30323302300131), we get a palindrome (161326505623161).

The spelling of 131003203323030 in words is "one hundred thirty-one trillion, three billion, two hundred three million, three hundred twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 109 157 218 314 327 471 545 654 785 942 1090 1433 1570 1635 2355 2866 3270 4299 4710 7165 8598 14330 17113 21495 34226 42990 51339 85565 102678 156197 171130 178069 224981 256695 312394 356138 449962 468591 513390 534207 674943 780985 890345 937182 1068414 1124905 1349886 1561970 1780690 2249810 2342955 2671035 3374715 4685910 5342070 6749430 19409521 24522929 27956833 38819042 49045858 55913666 58228563 73568787 83870499 97047605 116457126 122614645 139784165 147137574 167740998 194095210 245229290 255172877 279568330 291142815 367843935 419352495 510345754 582285630 735687870 765518631 838704990 1275864385 1531037262 2551728770 3047294797 3827593155 6094589594 7655186310 9141884391 15236473985 18283768782 27813843593 30472947970 40062141689 45709421955 55627687186 80124283378 83441530779 91418843910 120186425067 139069217965 166883061558 200310708445 240372850134 278138435930 400621416890 417207653895 600932125335 834415307790 1201864250670 4366773444101 8733546888202 13100320332303 21833867220505 26200640664606 43667734441010 65501601661515 131003203323030