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122320011330 = 23351158517039
BaseRepresentation
bin111000111101011010…
…1110100000001000010
3102200201200200101202000
41301322311310001002
54001002410330310
6132105410204430
711560126640556
oct1617265640102
9380650611660
10122320011330
114796a503a60
121b858883716
13b6c4a47b3a
145cc5503866
1532ad9cb4c0
hex1c7ad74042

122320011330 has 128 divisors (see below), whose sum is σ = 355951411200. Its totient is φ = 29644056000.

The previous prime is 122320011313. The next prime is 122320011347. The reversal of 122320011330 is 33110023221.

122320011330 is a `hidden beast` number, since 1 + 2 + 2 + 320 + 0 + 11 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (122320011313) and next prime (122320011347).

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

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, 17373951 + ... + 17380989.

It is an arithmetic number, because the mean of its divisors is an integer number (2780870400).

Almost surely, 2122320011330 is an apocalyptic number.

122320011330 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 122320011330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177975705600).

122320011330 is an abundant number, since it is smaller than the sum of its proper divisors (233631399870).

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

122320011330 is a wasteful number, since it uses less digits than its factorization.

122320011330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12917 (or 12911 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 122320011330 its reverse (33110023221), we get a palindrome (155430034551).

The spelling of 122320011330 in words is "one hundred twenty-two billion, three hundred twenty million, eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 5851 7039 11702 14078 17553 21117 29255 35106 35195 42234 52659 58510 63351 64361 70390 77429 87765 105318 105585 126702 128722 154858 157977 175530 190053 193083 211170 232287 263295 315954 316755 321805 380106 386166 387145 464574 526590 579249 633510 643610 696861 774290 789885 950265 965415 1158498 1161435 1393722 1579770 1737747 1900530 1930830 2090583 2322870 2896245 3475494 3484305 4181166 5792490 6968610 8688735 10452915 17377470 20905830 41185189 82370378 123555567 205925945 247111134 370666701 411851890 453037079 617777835 741333402 906074158 1112000103 1235555670 1359111237 1853333505 2224000206 2265185395 2718222474 3706667010 4077333711 4530370790 5560000515 6795556185 8154667422 11120001030 12232001133 13591112370 20386668555 24464002266 40773337110 61160005665 122320011330