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131010144114300 = 223521147123842477
BaseRepresentation
bin11101110010011100101101…
…000110100001011001111100
3122011212110002012101010000220
4131302130231012201121330
5114132432233343124200
61142345121312021340
736411112334046663
oct3562345506413174
9564773065333026
10131010144114300
11388200a9a1a360
121283a788231850
135814285359109
14244ccd395ddda
151022d1b6884a0
hex77272d1a167c

131010144114300 has 144 divisors (see below), whose sum is σ = 413524920961152. Its totient is φ = 31759323257600.

The previous prime is 131010144114293. The next prime is 131010144114319. The reversal of 131010144114300 is 3411441010131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155084662 + ... + 155927138.

It is an arithmetic number, because the mean of its divisors is an integer number (2871700840008).

Almost surely, 2131010144114300 is an apocalyptic number.

131010144114300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131010144114300 is an abundant number, since it is smaller than the sum of its proper divisors (282514776846852).

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

131010144114300 is a wasteful number, since it uses less digits than its factorization.

131010144114300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889628 (or 889621 counting only the distinct ones).

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

Adding to 131010144114300 its reverse (3411441010131), we get a palindrome (134421585124431).

The spelling of 131010144114300 in words is "one hundred thirty-one trillion, ten billion, one hundred forty-four million, one hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 47123 94246 141369 188492 235615 282738 471230 518353 565476 706845 842477 942460 1036706 1178075 1413690 1555059 1684954 2073412 2356150 2527431 2591765 2827380 3110118 3369908 3534225 4212385 4712300 5054862 5183530 6220236 7068450 7775295 8424770 9267247 10109724 10367060 12637155 12958825 14136900 15550590 16849540 18534494 21061925 25274310 25917650 27801741 31101180 37068988 38876475 42123850 46336235 50548620 51835300 55603482 63185775 77752950 84247700 92672470 111206964 126371550 139008705 155505900 185344940 231681175 252743100 278017410 463362350 556034820 695043525 926724700 1390087050 2780174100 39700043671 79400087342 119100131013 158800174684 198500218355 238200262026 397000436710 436700480381 476400524052 595500655065 794000873420 873400960762 992501091775 1191001310130 1310101441143 1746801921524 1985002183550 2183502401905 2382002620260 2620202882286 2977503275325 3970004367100 4367004803810 5240405764572 5955006550650 6550507205715 8734009607620 10917512009525 11910013101300 13101014411430 21835024019050 26202028822860 32752536028575 43670048038100 65505072057150 131010144114300