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101420246412 = 223231731244909
BaseRepresentation
bin101111001110100011…
…1100010010110001100
3100200210011002100001200
41132131013202112030
53130202040341122
6114331455505500
710220200604412
oct1363507422614
9320704070050
10101420246412
113a0150a3271
12177a5528290
139743b29834
144ca19232b2
152988c7d5ac
hex179d1e258c

101420246412 has 72 divisors (see below), whose sum is σ = 268263166080. Its totient is φ = 32268015360.

The previous prime is 101420246377. The next prime is 101420246419. The reversal of 101420246412 is 214642024101.

101420246412 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 2 + 0 + 246 + 412 = 666.

It is not an unprimeable number, because it can be changed into a prime (101420246419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 540987 + ... + 703922.

Almost surely, 2101420246412 is an apocalyptic number.

101420246412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101420246412 is an abundant number, since it is smaller than the sum of its proper divisors (166842919668).

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

101420246412 is a wasteful number, since it uses less digits than its factorization.

101420246412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245023 (or 1245018 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 101420246412 in words is "one hundred one billion, four hundred twenty million, two hundred forty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 73 93 124 146 186 219 279 292 372 438 558 657 876 1116 1314 2263 2628 4526 6789 9052 13578 20367 27156 40734 81468 1244909 2489818 3734727 4979636 7469454 11204181 14938908 22408362 38592179 44816724 77184358 90878357 115776537 154368716 181756714 231553074 272635071 347329611 363513428 463106148 545270142 694659222 817905213 1090540284 1389318444 1635810426 2817229067 3271620852 5634458134 8451687201 11268916268 16903374402 25355061603 33806748804 50710123206 101420246412