Search a number
-
+
122020010084 = 22717256344559
BaseRepresentation
bin111000110100011110…
…1011001100001100100
3102122221210011202101202
41301220331121201210
53444344110310314
6132015532142032
711546524654430
oct1615075314144
9378853152352
10122020010084
1147826129645
121b794307918
13b6778495cb
145c9772d9c0
1532924bc0de
hex1c68f59864

122020010084 has 24 divisors (see below), whose sum is σ = 258395316480. Its totient is φ = 49218155136.

The previous prime is 122020010083. The next prime is 122020010111. The reversal of 122020010084 is 480010020221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (122020010083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128171804 + ... + 128172755.

It is an arithmetic number, because the mean of its divisors is an integer number (10766471520).

Almost surely, 2122020010084 is an apocalyptic number.

122020010084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122020010084 is an abundant number, since it is smaller than the sum of its proper divisors (136375306396).

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

122020010084 is a wasteful number, since it uses less digits than its factorization.

122020010084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256344587 (or 256344585 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The spelling of 122020010084 in words is "one hundred twenty-two billion, twenty million, ten thousand, eighty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 256344559 512689118 1025378236 1794411913 3588823826 4357857503 7177647652 8715715006 17431430012 30505002521 61010005042 122020010084