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323104220120 = 235115369120051
BaseRepresentation
bin1001011001110101000…
…00110010001111011000
31010212222200121000110102
410230322200302033120
520243204140020440
6404233152434532
732225552361563
oct4547240621730
91125880530412
10323104220120
111150339aa8a0
1252752b48a48
132461267b386
14118d17dd4da
158610c08b15
hex4b3a8323d8

323104220120 has 128 divisors (see below), whose sum is σ = 809247386880. Its totient is φ = 115103040000.

The previous prime is 323104220119. The next prime is 323104220129. The reversal of 323104220120 is 21022401323.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 323104220092 and 323104220101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323104220129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16104095 + ... + 16124145.

It is an arithmetic number, because the mean of its divisors is an integer number (6322245210).

Almost surely, 2323104220120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323104220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404623693440).

323104220120 is an abundant number, since it is smaller than the sum of its proper divisors (486143166760).

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

323104220120 is a wasteful number, since it uses less digits than its factorization.

323104220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20817 (or 20813 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 323104220120 its reverse (21022401323), we get a palindrome (344126621443).

The spelling of 323104220120 in words is "three hundred twenty-three billion, one hundred four million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 88 106 110 212 220 265 424 440 530 583 691 1060 1166 1382 2120 2332 2764 2915 3455 4664 5528 5830 6910 7601 11660 13820 15202 20051 23320 27640 30404 36623 38005 40102 60808 73246 76010 80204 100255 146492 152020 160408 183115 200510 220561 292984 304040 366230 401020 402853 441122 732460 802040 805706 882244 1062703 1102805 1464920 1611412 1764488 2014265 2125406 2205610 3222824 4028530 4250812 4411220 5313515 8057060 8501624 8822440 10627030 11689733 13855241 16114120 21254060 23379466 27710482 42508120 46758932 55420964 58448665 69276205 93517864 110841928 116897330 138552410 152407651 233794660 277104820 304815302 467589320 554209640 609630604 734327773 762038255 1219261208 1468655546 1524076510 2937311092 3048153020 3671638865 5874622184 6096306040 7343277730 8077605503 14686555460 16155211006 29373110920 32310422012 40388027515 64620844024 80776055030 161552110060 323104220120