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131142411102300 = 2235213210191599803
BaseRepresentation
bin11101110100010111111000…
…110101000010100001011100
3122012100002111010001021120020
4131310113320311002201130
5114142114124220233200
61142525554132352140
736423504125643543
oct3564277065024134
9565302433037506
10131142411102300
1138871203212094
1212860340175650
1358238a3ab7b60
14245548014315a
1510264ad54bea0
hex7745f8d4285c

131142411102300 has 144 divisors (see below), whose sum is σ = 408645998732160. Its totient is φ = 32279652898560.

The previous prime is 131142411102277. The next prime is 131142411102347. The reversal of 131142411102300 is 3201114241131.

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, 81174199 + ... + 82774001.

It is an arithmetic number, because the mean of its divisors is an integer number (2837819435640).

Almost surely, 2131142411102300 is an apocalyptic number.

131142411102300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131142411102300 is an abundant number, since it is smaller than the sum of its proper divisors (277503587629860).

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

131142411102300 is a wasteful number, since it uses less digits than its factorization.

131142411102300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620852 (or 1620845 counting only the distinct ones).

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

Adding to 131142411102300 its reverse (3201114241131), we get a palindrome (134343525343431).

The spelling of 131142411102300 in words is "one hundred thirty-one trillion, one hundred forty-two billion, four hundred eleven million, one hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 21019 42038 63057 84076 105095 126114 210190 252228 273247 315285 420380 525475 546494 630570 819741 1050950 1092988 1261140 1366235 1576425 1599803 1639482 2101900 2732470 3152850 3199606 3278964 4098705 4799409 5464940 6305700 6399212 6831175 7999015 8197410 9598818 13662350 15998030 16394820 19197636 20493525 20797439 23997045 27324700 31996060 39995075 40987050 41594878 47994090 62392317 79990150 81974100 83189756 95988180 103987195 119985225 124784634 159980300 207974390 239970450 249569268 311961585 415948780 479940900 519935975 623923170 1039871950 1247846340 1559807925 2079743900 3119615850 6239231700 33626259257 67252518514 100878777771 134505037028 168131296285 201757555542 336262592570 403515111084 437141370341 504393888855 672525185140 840656481425 874282740682 1008787777710 1311424111023 1681312962850 1748565481364 2017575555420 2185706851705 2521969444275 2622848222046 3362625925700 4371413703410 5043938888550 5245696444092 6557120555115 8742827406820 10087877777100 10928534258525 13114241110230 21857068517050 26228482220460 32785602775575 43714137034100 65571205551150 131142411102300