Search a number
-
+
30110103120 = 2435503249421
BaseRepresentation
bin11100000010101100…
…111011011001010000
32212201102110201110110
4130002230323121100
5443131141244440
621455444001320
72114104440126
oct340254733120
985642421413
1030110103120
1111851406149
125a03990240
132abb135386
141658d09916
15bb3627080
hex702b3b650

30110103120 has 80 divisors (see below), whose sum is σ = 93527263872. Its totient is φ = 8013365760.

The previous prime is 30110103113. The next prime is 30110103157. The reversal of 30110103120 is 2130101103.

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

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 = 30110103096 and 30110103105.

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, 3991 + ... + 245430.

Almost surely, 230110103120 is an apocalyptic number.

30110103120 is a gapful number since it is divisible by the number (30) 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 30110103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46763631936).

30110103120 is an abundant number, since it is smaller than the sum of its proper divisors (63417160752).

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

30110103120 is a wasteful number, since it uses less digits than its factorization.

30110103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249940 (or 249934 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 30110103120 its reverse (2130101103), we get a palindrome (32240204223).

The spelling of 30110103120 in words is "thirty billion, one hundred ten million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 503 1006 1509 2012 2515 3018 4024 5030 6036 7545 8048 10060 12072 15090 20120 24144 30180 40240 60360 120720 249421 498842 748263 997684 1247105 1496526 1995368 2494210 2993052 3741315 3990736 4988420 5986104 7482630 9976840 11972208 14965260 19953680 29930520 59861040 125458763 250917526 376376289 501835052 627293815 752752578 1003670104 1254587630 1505505156 1881881445 2007340208 2509175260 3011010312 3763762890 5018350520 6022020624 7527525780 10036701040 15055051560 30110103120