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131402322300 = 223521953434963
BaseRepresentation
bin111101001100000110…
…0000101000101111100
3110120011122122121011210
41322120030011011330
54123102443303200
6140210531444420
712331162211364
oct1723014050574
9416148577153
10131402322300
1150800204687
1221572456710
13c511587342
1465078239a4
153641016650
hex1e9830517c

131402322300 has 144 divisors (see below), whose sum is σ = 407752652160. Its totient is φ = 32569954560.

The previous prime is 131402322287. The next prime is 131402322347. The reversal of 131402322300 is 3223204131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84619 + ... + 519581.

It is an arithmetic number, because the mean of its divisors is an integer number (2831615640).

Almost surely, 2131402322300 is an apocalyptic number.

131402322300 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 131402322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203876326080).

131402322300 is an abundant number, since it is smaller than the sum of its proper divisors (276350329860).

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

131402322300 is a wasteful number, since it uses less digits than its factorization.

131402322300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435052 (or 435045 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 131402322300 its reverse (3223204131), we get a palindrome (134625526431).

The spelling of 131402322300 in words is "one hundred thirty-one billion, four hundred two million, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 53 57 60 75 76 95 100 106 114 150 159 190 212 228 265 285 300 318 380 475 530 570 636 795 950 1007 1060 1140 1325 1425 1590 1900 2014 2650 2850 3021 3180 3975 4028 5035 5300 5700 6042 7950 10070 12084 15105 15900 20140 25175 30210 50350 60420 75525 100700 151050 302100 434963 869926 1304889 1739852 2174815 2609778 4349630 5219556 6524445 8264297 8699260 10874075 13048890 16528594 21748150 23053039 24792891 26097780 32622225 33057188 41321485 43496300 46106078 49585782 65244450 69159117 82642970 92212156 99171564 115265195 123964455 130488900 138318234 165285940 206607425 230530390 247928910 276636468 345795585 413214850 438007741 461060780 495857820 576325975 619822275 691591170 826429700 876015482 1152651950 1239644550 1314023223 1383182340 1728977925 1752030964 2190038705 2305303900 2479289100 2628046446 3457955850 4380077410 5256092892 6570116115 6915911700 8760154820 10950193525 13140232230 21900387050 26280464460 32850580575 43800774100 65701161150 131402322300