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122023023330 = 235133498531051
BaseRepresentation
bin111000110100100100…
…0111001001011100010
3102122221222211211210110
41301221020321023202
53444400343221310
6132020120512150
711546562404415
oct1615110711342
9378858754713
10122023023330
11478278a752a
121b79531b656
13b678362cb0
145c97cb5b7c
1532928b4d20
hex1c692392e2

122023023330 has 128 divisors (see below), whose sum is σ = 316958342400. Its totient is φ = 29886796800.

The previous prime is 122023023319. The next prime is 122023023403. The reversal of 122023023330 is 33320320221.

It is a junction number, because it is equal to n+sod(n) for n = 122023023297 and 122023023306.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 116101305 + ... + 116102355.

It is an arithmetic number, because the mean of its divisors is an integer number (2476237050).

Almost surely, 2122023023330 is an apocalyptic number.

122023023330 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 122023023330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158479171200).

122023023330 is an abundant number, since it is smaller than the sum of its proper divisors (194935319070).

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

122023023330 is a wasteful number, since it uses less digits than its factorization.

122023023330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 122023023330 its reverse (33320320221), we get a palindrome (155343343551).

The spelling of 122023023330 in words is "one hundred twenty-two billion, twenty-three million, twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 349 390 698 853 1047 1051 1706 1745 2094 2102 2559 3153 3490 4265 4537 5118 5235 5255 6306 8530 9074 10470 10510 11089 12795 13611 13663 15765 22178 22685 25590 27222 27326 31530 33267 40989 45370 55445 66534 68055 68315 81978 110890 136110 136630 166335 204945 297697 332670 366799 409890 595394 733598 893091 896503 1100397 1488485 1786182 1793006 1833995 2200794 2689509 2976970 3667990 3870061 4465455 4482515 4768387 5379018 5501985 7740122 8930910 8965030 9536774 11003970 11610183 11654539 13447545 14305161 19350305 23220366 23309078 23841935 26895090 28610322 34963617 38700610 47683870 58050915 58272695 69927234 71525805 116101830 116545390 143051610 174818085 312879547 349636170 625759094 938638641 1564397735 1877277282 3128795470 4067434111 4693193205 8134868222 9386386410 12202302333 20337170555 24404604666 40674341110 61011511665 122023023330