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122324103030 = 23547191454213
BaseRepresentation
bin111000111101100010…
…1011010111101110110
3102200201222101021111110
41301323011122331312
54001004432244110
6132110034015450
711560206501663
oct1617305327566
9380658337443
10122324103030
1147971849128
121b85a117586
13b6c584b36c
145cc5c8aa6a
1532ae038a20
hex1c7b15af76

122324103030 has 64 divisors (see below), whose sum is σ = 301394608128. Its totient is φ = 31758503040.

The previous prime is 122324102933. The next prime is 122324103037. The reversal of 122324103030 is 30301423221.

It is a junction number, because it is equal to n+sod(n) for n = 122324102988 and 122324103006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122324103037) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 42204 + ... + 496416.

It is an arithmetic number, because the mean of its divisors is an integer number (4709290752).

Almost surely, 2122324103030 is an apocalyptic number.

122324103030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122324103030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150697304064).

122324103030 is an abundant number, since it is smaller than the sum of its proper divisors (179070505098).

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

122324103030 is a wasteful number, since it uses less digits than its factorization.

122324103030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454461.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 122324103030 its reverse (30301423221), we get a palindrome (152625526251).

The spelling of 122324103030 in words is "one hundred twenty-two billion, three hundred twenty-four million, one hundred three thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 191 235 282 382 470 573 705 955 1146 1410 1910 2865 5730 8977 17954 26931 44885 53862 89770 134655 269310 454213 908426 1362639 2271065 2725278 4542130 6813195 13626390 21348011 42696022 64044033 86754683 106740055 128088066 173509366 213480110 260264049 320220165 433773415 520528098 640440330 867546830 1301320245 2602640490 4077470101 8154940202 12232410303 20387350505 24464820606 40774701010 61162051515 122324103030