Search a number
-
+
122020102001 = 7476159310253
BaseRepresentation
bin111000110100011110…
…1101111111101110001
3102122221210100102111002
41301220331233331301
53444344121231001
6132015534131345
711546525516420
oct1615075577561
9378853312432
10122020102001
1147826191706
121b794350b55
13b67787c3b5
145c977552b7
1532924d946b
hex1c68f6ff71

122020102001 has 32 divisors (see below), whose sum is σ = 145011575808. Its totient is φ = 100505687040.

The previous prime is 122020101997. The next prime is 122020102033. The reversal of 122020102001 is 100201020221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 122020102001 - 22 = 122020101997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122020122001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11895791 + ... + 11906043.

It is an arithmetic number, because the mean of its divisors is an integer number (4531611744).

Almost surely, 2122020102001 is an apocalyptic number.

It is an amenable number.

122020102001 is a deficient number, since it is larger than the sum of its proper divisors (22991473807).

122020102001 is a wasteful number, since it uses less digits than its factorization.

122020102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10961.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122020102001 its reverse (100201020221), we get a palindrome (222221122222).

The spelling of 122020102001 in words is "one hundred twenty-two billion, twenty million, one hundred two thousand, one".

Divisors: 1 7 47 61 329 427 593 2867 4151 10253 20069 27871 36173 71771 195097 253211 481891 625433 1700131 3373237 4378031 6080029 11900917 29395351 42560203 205767457 285761363 370881769 2000329541 2596172383 17431443143 122020102001