Search a number
-
+
103204402020 = 22345432714723
BaseRepresentation
bin110000000011101110…
…1100011001101100100
3100212101111021211110000
41200013131203031210
53142330311331040
6115224512301300
710312333641306
oct1400735431544
9325344254400
10103204402020
113a850215835
1218002b41830
13996965cb05
144dd0873976
152a40707130
hex1807763364

103204402020 has 120 divisors (see below), whose sum is σ = 323852848704. Its totient is φ = 27512944704.

The previous prime is 103204402019. The next prime is 103204402033. The reversal of 103204402020 is 20204402301.

103204402020 is a `hidden beast` number, since 1 + 0 + 3 + 20 + 440 + 202 + 0 = 666.

It is a super-2 number, since 2×1032044020202 (a number of 23 digits) contains 22 as substring.

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 = 103204401984 and 103204402002.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 7002379 + ... + 7017101.

Almost surely, 2103204402020 is an apocalyptic number.

103204402020 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 103204402020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161926424352).

103204402020 is an abundant number, since it is smaller than the sum of its proper divisors (220648446684).

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

103204402020 is a wasteful number, since it uses less digits than its factorization.

103204402020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19071 (or 19060 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 103204402020 its reverse (20204402301), we get a palindrome (123408804321).

The spelling of 103204402020 in words is "one hundred three billion, two hundred four million, four hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 4327 8654 12981 14723 17308 21635 25962 29446 38943 43270 44169 51924 58892 64905 73615 77886 86540 88338 116829 129810 132507 147230 155772 176676 194715 220845 233658 259620 265014 294460 350487 389430 397521 441690 467316 530028 584145 662535 700974 778860 795042 883380 1168290 1192563 1325070 1401948 1590084 1752435 1987605 2336580 2385126 2650140 3504870 3975210 4770252 5962815 7009740 7950420 11925630 23851260 63706421 127412842 191119263 254825684 318532105 382238526 573357789 637064210 764477052 955596315 1146715578 1274128420 1720073367 1911192630 2293431156 2866788945 3440146734 3822385260 5160220101 5733577890 6880293468 8600366835 10320440202 11467155780 17200733670 20640880404 25801100505 34401467340 51602201010 103204402020