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141023310320 = 24597167108821
BaseRepresentation
bin1000001101010110100…
…1001111000111110000
3111111000011020102121102
42003111221033013300
54302303431412240
6144441334543532
713121455234214
oct2032551170760
9444004212542
10141023310320
1154897a89352
12233b8507ba8
13103b58a1269
146b7b4c6944
153a059a9815
hex20d5a4f1f0

141023310320 has 80 divisors (see below), whose sum is σ = 333246045888. Its totient is φ = 55492976640.

The previous prime is 141023310283. The next prime is 141023310343. The reversal of 141023310320 is 23013320141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1410233103202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 141023310292 and 141023310301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1241510 + ... + 1350330.

Almost surely, 2141023310320 is an apocalyptic number.

141023310320 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 141023310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166623022944).

141023310320 is an abundant number, since it is smaller than the sum of its proper divisors (192222735568).

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

141023310320 is a wasteful number, since it uses less digits than its factorization.

141023310320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109098 (or 109092 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 141023310320 its reverse (23013320141), we get a palindrome (164036630461).

The spelling of 141023310320 in words is "one hundred forty-one billion, twenty-three million, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 167 194 334 388 485 668 776 835 970 1336 1552 1670 1940 2672 3340 3880 6680 7760 13360 16199 32398 64796 80995 108821 129592 161990 217642 259184 323980 435284 544105 647960 870568 1088210 1295920 1741136 2176420 4352840 8705680 10555637 18173107 21111274 36346214 42222548 52778185 72692428 84445096 90865535 105556370 145384856 168890192 181731070 211112740 290769712 363462140 422225480 726924280 844450960 1453848560 1762791379 3525582758 7051165516 8813956895 14102331032 17627913790 28204662064 35255827580 70511655160 141023310320