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12101400232101 = 3247791777203789
BaseRepresentation
bin1011000000011001001110…
…1010011000000010100101
31120211212211101111121101100
42300012103222120002211
53041232131424411401
641423150112550313
72356203656531235
oct260062352300245
946755741447340
1012101400232101
1139461a1a48014
1214353ba552399
1369a20732c61b
142db9d49b1cc5
1515ebba048b86
hexb0193a980a5

12101400232101 has 48 divisors (see below), whose sum is σ = 18087943910400. Its totient is φ = 7791574961664.

The previous prime is 12101400232081. The next prime is 12101400232121. The reversal of 12101400232101 is 10123200410121.

12101400232101 is a `hidden beast` number, since 1 + 21 + 0 + 1 + 400 + 232 + 10 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (12101400232081) and next prime (12101400232121).

It is not a de Polignac number, because 12101400232101 - 213 = 12101400223909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101400232121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59280115 + ... + 59483903.

It is an arithmetic number, because the mean of its divisors is an integer number (376832164800).

Almost surely, 212101400232101 is an apocalyptic number.

It is an amenable number.

12101400232101 is a deficient number, since it is larger than the sum of its proper divisors (5986543678299).

12101400232101 is a wasteful number, since it uses less digits than its factorization.

12101400232101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205698 (or 205695 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12101400232101 its reverse (10123200410121), we get a palindrome (22224600642222).

The spelling of 12101400232101 in words is "twelve trillion, one hundred one billion, four hundred million, two hundred thirty-two thousand, one hundred one".

Divisors: 1 3 9 47 79 141 237 423 711 1777 3713 5331 11139 15993 33417 83519 140383 203789 250557 421149 611367 751671 1263447 1834101 6598001 9578083 16099331 19794003 28734249 48297993 59382009 86202747 144893979 362133053 756668557 1086399159 2270005671 3259197477 6810017013 17020253491 28608511187 51060760473 85825533561 153182281419 257476600683 1344600025789 4033800077367 12101400232101