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131401100141430 = 235729147114667937
BaseRepresentation
bin11101111000001000110011…
…111001011010001101110110
3122020020211012121010001120120
4131320020303321122031312
5114210333423114011210
61143244455420312410
736451262520334110
oct3570106371321566
9566224177101516
10131401100141430
1138960991457009
12128a24b66a2706
1358420bc08c202
142463bc09423b0
15102d09e0bb270
hex778233e5a376

131401100141430 has 128 divisors (see below), whose sum is σ = 373096017838080. Its totient is φ = 28979147796480.

The previous prime is 131401100141341. The next prime is 131401100141483. The reversal of 131401100141430 is 34141001104131.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 131401100141430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1624422 + ... + 16292358.

It is an arithmetic number, because the mean of its divisors is an integer number (2914812639360).

Almost surely, 2131401100141430 is an apocalyptic number.

131401100141430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131401100141430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186548008919040).

131401100141430 is an abundant number, since it is smaller than the sum of its proper divisors (241694917696650).

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

131401100141430 is a wasteful number, since it uses less digits than its factorization.

131401100141430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14669454.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 131401100141430 its reverse (34141001104131), we get a palindrome (165542101245561).

The spelling of 131401100141430 in words is "one hundred thirty-one trillion, four hundred one billion, one hundred million, one hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 290 406 435 609 870 1015 1218 1471 2030 2942 3045 4413 6090 7355 8826 10297 14710 20594 22065 30891 42659 44130 51485 61782 85318 102970 127977 154455 213295 255954 298613 308910 426590 597226 639885 895839 1279770 1493065 1791678 2986130 4479195 8958390 14667937 29335874 44003811 73339685 88007622 102675559 146679370 205351118 220019055 308026677 425370173 440038110 513377795 616053354 850740346 1026755590 1276110519 1540133385 2126850865 2552221038 2977591211 3080266770 4253701730 5955182422 6380552595 8932773633 12761105190 14887956055 17865547266 21576535327 29775912110 43153070654 44663868165 64729605981 89327736330 107882676635 129459211962 151035747289 215765353270 302071494578 323648029905 453107241867 625719524483 647296059810 755178736445 906214483734 1251439048966 1510357472890 1877158573449 2265536209335 3128597622415 3754317146898 4380036671381 4531072418670 6257195244830 8760073342762 9385792867245 13140110014143 18771585734490 21900183356905 26280220028286 43800366713810 65700550070715 131401100141430