Search a number
-
+
100503120 = 2435418763
BaseRepresentation
bin1011111110110…
…00111001010000
321000010002100210
411333120321100
5201212044440
613550044120
72330156004
oct577307120
9230102323
10100503120
1151805533
12297a9640
1317a8b803
14d4c2704
158c53a80
hex5fd8e50

100503120 has 40 divisors (see below), whose sum is σ = 311560416. Its totient is φ = 26800768.

The previous prime is 100503119. The next prime is 100503131. The reversal of 100503120 is 21305001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100503096 and 100503105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209142 + ... + 209621.

Almost surely, 2100503120 is an apocalyptic number.

100503120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100503120 is an abundant number, since it is smaller than the sum of its proper divisors (211057296).

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

100503120 is a wasteful number, since it uses less digits than its factorization.

100503120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418779 (or 418773 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 100503120 is about 10025.1244381304. The cubic root of 100503120 is about 464.9360069181.

Adding to 100503120 its reverse (21305001), we get a palindrome (121808121).

The spelling of 100503120 in words is "one hundred million, five hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 418763 837526 1256289 1675052 2093815 2512578 3350104 4187630 5025156 6281445 6700208 8375260 10050312 12562890 16750520 20100624 25125780 33501040 50251560 100503120