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131303112103000 = 23532347831193567
BaseRepresentation
bin11101110110101101100011…
…010110101101010001011000
3122012220110021122022221202001
4131312231203112231101120
5114202232233144244000
61143131452244450344
736441223343626555
oct3566554326552130
9565813248287661
10131303112103000
1138923378798472
121288750a6a99b4
135835aa4354496
14245d166bb1a2c
15102a76680846a
hex776b635ad458

131303112103000 has 128 divisors (see below), whose sum is σ = 320675246161920. Its totient is φ = 50227166985600.

The previous prime is 131303112102979. The next prime is 131303112103021. The reversal of 131303112103000 is 301211303131.

It is an interprime number because it is at equal distance from previous prime (131303112102979) and next prime (131303112103021).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109412217 + ... + 110605783.

It is an arithmetic number, because the mean of its divisors is an integer number (2505275360640).

Almost surely, 2131303112103000 is an apocalyptic number.

131303112103000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131303112103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160337623080960).

131303112103000 is an abundant number, since it is smaller than the sum of its proper divisors (189372134058920).

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

131303112103000 is a wasteful number, since it uses less digits than its factorization.

131303112103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198394 (or 1198380 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 131303112103000 its reverse (301211303131), we get a palindrome (131604323406131).

The spelling of 131303112103000 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred twelve million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 920 1000 1150 2300 2875 4600 4783 5750 9566 11500 19132 23000 23915 38264 47830 95660 110009 119575 191320 220018 239150 440036 478300 550045 597875 880072 956600 1100090 1193567 1195750 2200180 2387134 2391500 2750225 4400360 4774268 4783000 5500450 5967835 9548536 11000900 11935670 13751125 22001800 23871340 27452041 27502250 29839175 47742680 54904082 55004500 59678350 109808164 110009000 119356700 137260205 149195875 219616328 238713400 274520410 298391750 549040820 596783500 686301025 1098081640 1193567000 1372602050 2745204100 3431505125 5490408200 5708830961 6863010250 11417661922 13726020500 22835323844 27452041000 28544154805 45670647688 57088309610 114176619220 131303112103 142720774025 228353238440 262606224206 285441548050 525212448412 570883096100 656515560515 713603870125 1050424896824 1141766192200 1313031121030 1427207740250 2626062242060 2854415480500 3282577802575 5252124484120 5708830961000 6565155605150 13130311210300 16412889012875 26260622420600 32825778025750 65651556051500 131303112103000