Search a number
-
+
3145130120 = 235117148023
BaseRepresentation
bin1011101101110110…
…1110000010001000
322010012010011102202
42323131232002020
522420123130440
61240031015332
7140640110366
oct27335560210
98105104382
103145130120
1113743868a0
1273936a548
133b1799952
1421b9c4636
151361b0615
hexbb76e088

3145130120 has 32 divisors (see below), whose sum is σ = 7719865920. Its totient is φ = 1143683520.

The previous prime is 3145130119. The next prime is 3145130189. The reversal of 3145130120 is 210315413.

3145130120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×31451301203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3145130092 and 3145130101.

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, 3573572 + ... + 3574451.

It is an arithmetic number, because the mean of its divisors is an integer number (241245810).

Almost surely, 23145130120 is an apocalyptic number.

It is an amenable number.

3145130120 is an abundant number, since it is smaller than the sum of its proper divisors (4574735800).

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

3145130120 is a wasteful number, since it uses less digits than its factorization.

3145130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7148045 (or 7148041 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 3145130120 is about 56081.4596814313. The cubic root of 3145130120 is about 1465.1413966581.

Adding to 3145130120 its reverse (210315413), we get a palindrome (3355445533).

The spelling of 3145130120 in words is "three billion, one hundred forty-five million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 7148023 14296046 28592092 35740115 57184184 71480230 78628253 142960460 157256506 285920920 314513012 393141265 629026024 786282530 1572565060 3145130120