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122111034330 = 23535330613767
BaseRepresentation
bin111000110111001100…
…0101000001111011010
3102200012010110021012010
41301232120220033122
54000040411044310
6132032543130350
711552011444305
oct1615630501732
9380163407163
10122111034330
114787254a49a
121b7ba8a39b6
13b6906697cc
145ca5865b3c
15329a49c320
hex1c6e6283da

122111034330 has 64 divisors (see below), whose sum is σ = 294070756608. Its totient is φ = 32451471360.

The previous prime is 122111034329. The next prime is 122111034341. The reversal of 122111034330 is 33430111221.

It is a super-2 number, since 2×1221110343302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122111034297 and 122111034306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32414107 + ... + 32417873.

It is an arithmetic number, because the mean of its divisors is an integer number (4594855572).

Almost surely, 2122111034330 is an apocalyptic number.

122111034330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122111034330 is an abundant number, since it is smaller than the sum of its proper divisors (171959722278).

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

122111034330 is a wasteful number, since it uses less digits than its factorization.

122111034330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7191.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 122111034330 its reverse (33430111221), we get a palindrome (155541145551).

The spelling of 122111034330 in words is "one hundred twenty-two billion, one hundred eleven million, thirty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 353 706 1059 1765 2118 3061 3530 3767 5295 6122 7534 9183 10590 11301 15305 18366 18835 22602 30610 37670 45915 56505 91830 113010 1080533 1329751 2161066 2659502 3241599 3989253 5402665 6483198 6648755 7978506 10805330 11530787 13297510 16207995 19946265 23061574 32415990 34592361 39892530 57653935 69184722 115307870 172961805 345923610 4070367811 8140735622 12211103433 20351839055 24422206866 40703678110 61055517165 122111034330