Search a number
-
+
131031224234200 = 235217373103320631
BaseRepresentation
bin11101110010110000010101…
…100100110011000011011000
3122011221110111022100011020101
4131302300111210303003120
5114133303421400443300
61142402525144105144
736412456613110333
oct3562602544630330
9564843438304211
10131031224234200
1138829037115454
121284288ba651b4
135816264743a44
14244dd3348b61a
15102365215eb6a
hex772c159330d8

131031224234200 has 96 divisors (see below), whose sum is σ = 323432840000160. Its totient is φ = 49197151180800.

The previous prime is 131031224234191. The next prime is 131031224234201. The reversal of 131031224234200 is 2432422130131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131031224234201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50392116 + ... + 52928515.

It is an arithmetic number, because the mean of its divisors is an integer number (3369092083335).

Almost surely, 2131031224234200 is an apocalyptic number.

131031224234200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131031224234200 is an abundant number, since it is smaller than the sum of its proper divisors (192401615765960).

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

131031224234200 is a wasteful number, since it uses less digits than its factorization.

131031224234200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103321037 (or 103321028 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 131031224234200 its reverse (2432422130131), we get a palindrome (133463646364331).

The spelling of 131031224234200 in words is "one hundred thirty-one trillion, thirty-one billion, two hundred twenty-four million, two hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 373 425 680 746 850 1492 1700 1865 2984 3400 3730 6341 7460 9325 12682 14920 18650 25364 31705 37300 50728 63410 74600 126820 158525 253640 317050 634100 1268200 103320631 206641262 413282524 516603155 826565048 1033206310 1756450727 2066412620 2583015775 3512901454 4132825240 5166031550 7025802908 8782253635 10332063100 14051605816 17564507270 20664126200 35129014540 38538595363 43911268175 70258029080 77077190726 87822536350 154154381452 175645072700 192692976815 308308762904 351290145400 385385953630 655156121171 770771907260 963464884075 1310312242342 1541543814520 1926929768150 2620624484684 3275780605855 3853859536300 5241248969368 6551561211710 7707719072600 13103122423420 16378903029275 26206244846840 32757806058550 65515612117100 131031224234200