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103103332020 = 2232513127346939
BaseRepresentation
bin110000000000101101…
…1111111111010110100
3100212010110002221110200
41200001123333322310
53142123423111040
6115210502120500
710306665601503
oct1400133777264
9325113087420
10103103332020
113a7a9163407
1217b95120130
139951733290
144dc128483a
152a368e0630
hex18016ffeb4

103103332020 has 144 divisors (see below), whose sum is σ = 339457198080. Its totient is φ = 25179372288.

The previous prime is 103103331953. The next prime is 103103332063. The reversal of 103103332020 is 20233301301.

103103332020 is a `hidden beast` number, since 1 + 0 + 310 + 3 + 332 + 0 + 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 = 103103331984 and 103103332002.

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, 123711 + ... + 470649.

Almost surely, 2103103332020 is an apocalyptic number.

103103332020 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 103103332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169728599040).

103103332020 is an abundant number, since it is smaller than the sum of its proper divisors (236353866060).

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

103103332020 is a wasteful number, since it uses less digits than its factorization.

103103332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347094 (or 347089 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103103332020 its reverse (20233301301), we get a palindrome (123336633321).

The spelling of 103103332020 in words is "one hundred three billion, one hundred three million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 127 130 156 180 195 234 254 260 381 390 468 508 585 635 762 780 1143 1170 1270 1524 1651 1905 2286 2340 2540 3302 3810 4572 4953 5715 6604 7620 8255 9906 11430 14859 16510 19812 22860 24765 29718 33020 49530 59436 74295 99060 148590 297180 346939 693878 1040817 1387756 1734695 2081634 3122451 3469390 4163268 4510207 5204085 6244902 6938780 9020414 10408170 12489804 13530621 15612255 18040828 20816340 22551035 27061242 31224510 40591863 44061253 45102070 54122484 62449020 67653105 81183726 88122506 90204140 132183759 135306210 162367452 176245012 202959315 220306265 264367518 270612420 396551277 405918630 440612530 528735036 572796289 660918795 793102554 811837260 881225060 1145592578 1321837590 1586205108 1718388867 1982756385 2291185156 2643675180 2863981445 3436777734 3965512770 5155166601 5727962890 6873555468 7931025540 8591944335 10310333202 11455925780 17183888670 20620666404 25775833005 34367777340 51551666010 103103332020