Search a number
-
+
420125572100100 = 223521400418573667
BaseRepresentation
bin101111110000110100001101…
…1011111000111000000000100
32001002112121112110210020122210
41133201220123133013000010
5420031314132424200400
64045311005015023420
7154331033220132366
oct13741503337070004
92032477473706583
10420125572100100
11111957288888059
123b15319806ab70
13150568962551a9
1475a6286c72d36
15338866c22c950
hex17e1a1b7c7004

420125572100100 has 36 divisors (see below), whose sum is σ = 1215563321943824. Its totient is φ = 112033485893280.

The previous prime is 420125572100063. The next prime is 420125572100131. The reversal of 420125572100100 is 1001275521024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 700209286534 + ... + 700209287133.

Almost surely, 2420125572100100 is an apocalyptic number.

It is an amenable number.

420125572100100 is an abundant number, since it is smaller than the sum of its proper divisors (795437749843724).

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

420125572100100 is a wasteful number, since it uses less digits than its factorization.

420125572100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400418573684 (or 1400418573677 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The spelling of 420125572100100 in words is "four hundred twenty trillion, one hundred twenty-five billion, five hundred seventy-two million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1400418573667 2800837147334 4201255721001 5601674294668 7002092868335 8402511442002 14004185736670 16805022884004 21006278605005 28008371473340 35010464341675 42012557210010 70020928683350 84025114420020 105031393025025 140041857366700 210062786050050 420125572100100