Search a number
-
+
122145102011403 = 3431281917255767
BaseRepresentation
bin11011110001011100011111…
…011010101001110000001011
3121000110221212011122210120000
4123301130133122221300023
5112002211132103331103
61111440404001334043
734504456331346312
oct3361343732516013
9530427764583500
10122145102011403
1135a124a0850889
1211848657637323
13532030657aa93
142223bd69a5279
15e1c41b20baa3
hex6f171f6a9c0b

122145102011403 has 40 divisors (see below), whose sum is σ = 188416421022720. Its totient is φ = 78775332712560.

The previous prime is 122145102011399. The next prime is 122145102011467. The reversal of 122145102011403 is 304110201541221.

122145102011403 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 4 + 51 + 0 + 201 + 1 + 403 = 666.

It is not a de Polignac number, because 122145102011403 - 22 = 122145102011399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122145102011003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1549375 + ... + 15706392.

It is an arithmetic number, because the mean of its divisors is an integer number (4710410525568).

Almost surely, 2122145102011403 is an apocalyptic number.

122145102011403 is a deficient number, since it is larger than the sum of its proper divisors (66271319011317).

122145102011403 is a wasteful number, since it uses less digits than its factorization.

122145102011403 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17258629 (or 17258620 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 122145102011403 its reverse (304110201541221), we get a palindrome (426255303552624).

The spelling of 122145102011403 in words is "one hundred twenty-two trillion, one hundred forty-five billion, one hundred two million, eleven thousand, four hundred three".

Divisors: 1 3 9 27 31 81 93 279 837 2511 2819 8457 25371 76113 87389 228339 262167 786501 2359503 7078509 17255767 51767301 155301903 465905709 534928777 1397717127 1604786331 4814358993 14443076979 43329230937 48644007173 145932021519 437796064557 1313388193671 1507964222363 3940164581013 4523892667089 13571678001267 40715034003801 122145102011403