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131000320200400 = 2452771658955333
BaseRepresentation
bin11101110010010011100011…
…100011010000111011010000
3122011211111201112221120121221
4131302103203203100323100
5114132302123432403100
61142340414415254424
736410314025132410
oct3562234343207320
9564744645846557
10131000320200400
1138816a18644452
12128388a621a414
13581337aca2201
14244c640d56640
151022943eae01a
hex7724e38d0ed0

131000320200400 has 120 divisors (see below), whose sum is σ = 364755499761024. Its totient is φ = 44281798310400.

The previous prime is 131000320200353. The next prime is 131000320200461. The reversal of 131000320200400 is 4002023000131.

It is a happy number.

It is a super-2 number, since 2×1310003202004002 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 329278867 + ... + 329676466.

Almost surely, 2131000320200400 is an apocalyptic number.

131000320200400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131000320200400 is an abundant number, since it is smaller than the sum of its proper divisors (233755179560624).

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

131000320200400 is a wasteful number, since it uses less digits than its factorization.

131000320200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658955429 (or 658955418 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 131000320200400 its reverse (4002023000131), we get a palindrome (135002343200531).

The spelling of 131000320200400 in words is "one hundred thirty-one trillion, three hundred twenty million, two hundred thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 71 80 100 112 140 142 175 200 280 284 350 355 400 497 560 568 700 710 994 1136 1400 1420 1775 1988 2485 2800 2840 3550 3976 4970 5680 7100 7952 9940 12425 14200 19880 24850 28400 39760 49700 99400 198800 658955333 1317910666 2635821332 3294776665 4612687331 5271642664 6589553330 9225374662 10543285328 13179106660 16473883325 18450749324 23063436655 26358213320 32947766650 36901498648 46126873310 46785828643 52716426640 65895533300 73802997296 92253746620 93571657286 115317183275 131791066600 184507493240 187143314572 230634366550 233929143215 263582133200 327500800501 369014986480 374286629144 461268733100 467858286430 655001601002 748573258288 922537466200 935716572860 1169645716075 1310003202004 1637504002505 1845074932400 1871433145720 2339291432150 2620006404008 3275008005010 3742866291440 4678582864300 5240012808016 6550016010020 8187520012525 9357165728600 13100032020040 16375040025050 18714331457200 26200064040080 32750080050100 65500160100200 131000320200400