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122023202130 = 23254878213391
BaseRepresentation
bin111000110100100100…
…1100100110101010010
3102122222000011221001200
41301221021210311102
53444400414432010
6132020124412030
711546564050614
oct1615111446522
9378860157050
10122023202130
1147827a098a5
121b7953a7016
13b6783c64ab
145c97d20db4
1532928eccc0
hex1c69264d52

122023202130 has 96 divisors (see below), whose sum is σ = 318392875008. Its totient is φ = 32423587200.

The previous prime is 122023202117. The next prime is 122023202131. The reversal of 122023202130 is 31202320221.

122023202130 is a `hidden beast` number, since 1 + 220 + 232 + 0 + 213 + 0 = 666.

It is a super-3 number, since 3×1220232021303 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (122023202131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35982735 + ... + 35986125.

It is an arithmetic number, because the mean of its divisors is an integer number (3316592448).

Almost surely, 2122023202130 is an apocalyptic number.

122023202130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122023202130 is an abundant number, since it is smaller than the sum of its proper divisors (196369672878).

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

122023202130 is a wasteful number, since it uses less digits than its factorization.

122023202130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4712 (or 4709 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 122023202130 its reverse (31202320221), we get a palindrome (153225522351).

The spelling of 122023202130 in words is "one hundred twenty-two billion, twenty-three million, two hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 487 821 974 1461 1642 2435 2463 2922 3391 4105 4383 4870 4926 6782 7305 7389 8210 8766 10173 12315 14610 14778 16955 20346 21915 24630 30519 33910 36945 43830 50865 61038 73890 101730 152595 305190 399827 799654 1199481 1651417 1999135 2398962 2784011 3302834 3598443 3998270 4954251 5568022 5997405 7196886 8257085 8352033 9908502 11994810 13920055 14862753 16514170 16704066 17992215 24771255 25056099 27840110 29725506 35984430 41760165 49542510 50112198 74313765 83520330 125280495 148627530 250560990 1355813357 2711626714 4067440071 6779066785 8134880142 12202320213 13558133570 20337200355 24404640426 40674400710 61011601065 122023202130