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122123131010322 = 231315110368749449
BaseRepresentation
bin11011110001001000000001…
…110101111011110100010010
3121000101212010222100022010020
4123301020001311323310102
5112001331133014312242
61111422331502444310
734503051014046501
oct3361100165736422
9530355128308106
10122123131010322
1135a04146791552
1211844345593696
13531b214740220
142222b10a12838
15e1ba8240a6ec
hex6f1201d7bd12

122123131010322 has 32 divisors (see below), whose sum is σ = 264776385955200. Its totient is φ = 37327498012800.

The previous prime is 122123131010291. The next prime is 122123131010347. The reversal of 122123131010322 is 223010131321221.

It is a junction number, because it is equal to n+sod(n) for n = 122123131010292 and 122123131010301.

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 15 ways as a sum of consecutive naturals, for example, 5184362947 + ... + 5184386502.

It is an arithmetic number, because the mean of its divisors is an integer number (8274262061100).

Almost surely, 2122123131010322 is an apocalyptic number.

122123131010322 is an abundant number, since it is smaller than the sum of its proper divisors (142653254944878).

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

122123131010322 is a wasteful number, since it uses less digits than its factorization.

122123131010322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10368749618.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 122123131010322 its reverse (223010131321221), we get a palindrome (345133262331543).

The spelling of 122123131010322 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, one hundred thirty-one million, ten thousand, three hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 151 302 453 906 1963 3926 5889 11778 10368749449 20737498898 31106248347 62212496694 134793742837 269587485674 404381228511 808762457022 1565681166799 3131362333598 4697043500397 9394087000794 20353855168387 40707710336774 61061565505161 122123131010322