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103032011032020 = 223257211387542357
BaseRepresentation
bin10111011011010100000010…
…011010110000010111010100
3111111210202121222222201102100
4113123110002122300113110
5102001034024311011040
61003044130305442100
730462550165525320
oct2733240232602724
9444722558881370
10103032011032020
112a9136a3209014
12b680364040330
134564b528787c5
141b62ac1280980
15bda17447db30
hex5db5026b05d4

103032011032020 has 144 divisors (see below), whose sum is σ = 358870424185728. Its totient is φ = 23438561690880.

The previous prime is 103032011031973. The next prime is 103032011032031. The reversal of 103032011032020 is 20230110230301.

103032011032020 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 320 + 1 + 1 + 0 + 320 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103032011031984 and 103032011032002.

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, 193505319 + ... + 194037038.

It is an arithmetic number, because the mean of its divisors is an integer number (2492155723512).

Almost surely, 2103032011032020 is an apocalyptic number.

103032011032020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103032011032020 is an abundant number, since it is smaller than the sum of its proper divisors (255838413153708).

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

103032011032020 is a wasteful number, since it uses less digits than its factorization.

103032011032020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387542590 (or 387542585 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103032011032020 its reverse (20230110230301), we get a palindrome (123262121262321).

The spelling of 103032011032020 in words is "one hundred three trillion, thirty-two billion, eleven million, thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 211 252 315 420 422 630 633 844 1055 1260 1266 1477 1899 2110 2532 2954 3165 3798 4220 4431 5908 6330 7385 7596 8862 9495 12660 13293 14770 17724 18990 22155 26586 29540 37980 44310 53172 66465 88620 132930 265860 387542357 775084714 1162627071 1550169428 1937711785 2325254142 2712796499 3487881213 3875423570 4650508284 5425592998 5813135355 6975762426 7750847140 8138389497 10851185996 11626270710 13563982495 13951524852 16276778994 17439406065 23252541420 24415168491 27127964990 32553557988 34878812130 40691947485 48830336982 54255929980 69757624260 81383894970 81771437327 97660673964 122075842455 162767789940 163542874654 244151684910 245314311981 327085749308 408857186635 488303369820 490628623962 572400061289 735942935943 817714373270 981257247924 1144800122578 1226571559905 1471885871886 1635428746540 1717200183867 2289600245156 2453143119810 2862000306445 2943771743772 3434400367734 3679714679715 4906286239620 5151600551601 5724000612890 6868800735468 7359429359430 8586000919335 10303201103202 11448001225780 14718858718860 17172001838670 20606402206404 25758002758005 34344003677340 51516005516010 103032011032020