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131041140254200 = 235211444751431
BaseRepresentation
bin11101110010111001100100…
…100111011010010111111000
3122011222102002101002011110101
4131302321210213122113320
5114133434223401113300
61142411245130525144
736413260420641541
oct3562714447322770
9564872071064411
10131041140254200
1138832265490000
12128447988967b4
135817184c093b7
1424505d43cd4c8
151023a3297eb6a
hex772e649da5f8

131041140254200 has 120 divisors (see below), whose sum is σ = 335135642747400. Its totient is φ = 47651322664000.

The previous prime is 131041140254107. The next prime is 131041140254209. The reversal of 131041140254200 is 2452041140131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131041140254209) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 19447516 + ... + 25303915.

It is an arithmetic number, because the mean of its divisors is an integer number (2792797022895).

Almost surely, 2131041140254200 is an apocalyptic number.

131041140254200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131041140254200 is an abundant number, since it is smaller than the sum of its proper divisors (204094502493200).

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

131041140254200 is an equidigital number, since it uses as much as digits as its factorization.

131041140254200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44751491 (or 44751449 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 131041140254200 its reverse (2452041140131), we get a palindrome (133493181394331).

The spelling of 131041140254200 in words is "one hundred thirty-one trillion, forty-one billion, one hundred forty million, two hundred fifty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 1331 2200 2420 2662 3025 4840 5324 6050 6655 10648 12100 13310 14641 24200 26620 29282 33275 53240 58564 66550 73205 117128 133100 146410 266200 292820 366025 585640 732050 1464100 2928200 44751431 89502862 179005724 223757155 358011448 447514310 492265741 895028620 984531482 1118785775 1790057240 1969062964 2237571550 2461328705 3938125928 4475143100 4922657410 5414923151 8950286200 9845314820 10829846302 12306643525 19690629640 21659692604 24613287050 27074615755 43319385208 49226574100 54149231510 59564154661 98453148200 108298463020 119128309322 135373078775 216596926040 238256618644 270746157550 297820773305 476513237288 541492315100 595641546610 655205701271 1082984630200 1191283093220 1310411402542 1489103866525 2382566186440 2620822805084 2978207733050 3276028506355 5241645610168 5956415466100 6552057012710 11912830932200 13104114025420 16380142531775 26208228050840 32760285063550 65520570127100 131041140254200