Search a number
-
+
122230033000 = 2353478331333
BaseRepresentation
bin111000111010101111…
…0100100101001101000
3102200111102101000200021
41301311132210221220
54000311342024000
6132052433450224
711554655065225
oct1616536445150
9380442330607
10122230033000
11479237379a9
121b832710974
13b6ac202a1a
145cb75a094c
1532a5b5611a
hex1c757a4a68

122230033000 has 128 divisors (see below), whose sum is σ = 295632529920. Its totient is φ = 47273721600.

The previous prime is 122230032983. The next prime is 122230033033. The reversal of 122230033000 is 330032221.

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, 3885334 + ... + 3916666.

It is an arithmetic number, because the mean of its divisors is an integer number (2309629140).

Almost surely, 2122230033000 is an apocalyptic number.

122230033000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122230033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147816264960).

122230033000 is an abundant number, since it is smaller than the sum of its proper divisors (173402496920).

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

122230033000 is a wasteful number, since it uses less digits than its factorization.

122230033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31484 (or 31470 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 122230033000 its reverse (330032221), we get a palindrome (122560065221).

The spelling of 122230033000 in words is "one hundred twenty-two billion, two hundred thirty million, thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 83 94 100 125 166 188 200 235 250 332 376 415 470 500 664 830 940 1000 1175 1660 1880 2075 2350 3320 3901 4150 4700 5875 7802 8300 9400 10375 11750 15604 16600 19505 20750 23500 31208 31333 39010 41500 47000 62666 78020 83000 97525 125332 156040 156665 195050 250664 313330 390100 487625 626660 780200 783325 975250 1253320 1472651 1566650 1950500 2600639 2945302 3133300 3901000 3916625 5201278 5890604 6266600 7363255 7833250 10402556 11781208 13003195 14726510 15666500 20805112 26006390 29453020 31333000 36816275 52012780 58906040 65015975 73632550 104025560 122230033 130031950 147265100 184081375 244460066 260063900 294530200 325079875 368162750 488920132 520127800 611150165 650159750 736325500 977840264 1222300330 1300319500 1472651000 2444600660 2600639000 3055750825 4889201320 6111501650 12223003300 15278754125 24446006600 30557508250 61115016500 122230033000