Search a number
-
+
122301332211330 = 2335452967897079
BaseRepresentation
bin11011110011101101111111…
…011101100100011010000010
3121001000220010010100021001000
4123303231333131210122002
5112012241112021230310
61112040242324552430
734521660011213616
oct3363557735443202
9531026103307030
10122301332211330
1135a7278170a398
1211872998852716
135331c737c526c
14222b5b7969346
15e21511c464c0
hex6f3b7f764682

122301332211330 has 32 divisors (see below), whose sum is σ = 326136885897600. Its totient is φ = 32613688589616.

The previous prime is 122301332211251. The next prime is 122301332211341. The reversal of 122301332211330 is 33112233103221.

122301332211330 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 0 + 1 + 3 + 322 + 1 + 1 + 330 = 666.

It is a super-2 number, since 2×1223013322113302 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 122301332211294 and 122301332211303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226483948270 + ... + 226483948809.

It is an arithmetic number, because the mean of its divisors is an integer number (10191777684300).

Almost surely, 2122301332211330 is an apocalyptic number.

122301332211330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122301332211330 is an abundant number, since it is smaller than the sum of its proper divisors (203835553686270).

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

122301332211330 is a wasteful number, since it uses less digits than its factorization.

122301332211330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452967897095 (or 452967897089 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 122301332211330 its reverse (33112233103221), we get a palindrome (155413565314551).

The spelling of 122301332211330 in words is "one hundred twenty-two trillion, three hundred one billion, three hundred thirty-two million, two hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 452967897079 905935794158 1358903691237 2264839485395 2717807382474 4076711073711 4529678970790 6794518456185 8153422147422 12230133221133 13589036912370 20383555368555 24460266442266 40767110737110 61150666105665 122301332211330