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123100020 = 22335311733
BaseRepresentation
bin1110101011001…
…01101101110100
322120122010111000
413111211231310
5223003200040
620114243300
73023222121
oct725455564
9276563430
10123100020
116353995a
1235286530
131c670c64
14124c5748
15ac19130
hex7565b74

123100020 has 96 divisors (see below), whose sum is σ = 384733440. Its totient is φ = 32676480.

The previous prime is 123099997. The next prime is 123100051. The reversal of 123100020 is 20001321.

It is a happy number.

It is a super-2 number, since 2×1231000202 = 30307229848000800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 123099975 and 123100011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167574 + ... + 168306.

It is an arithmetic number, because the mean of its divisors is an integer number (4007640).

Almost surely, 2123100020 is an apocalyptic number.

123100020 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 123100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192366720).

123100020 is an abundant number, since it is smaller than the sum of its proper divisors (261633420).

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

123100020 is a wasteful number, since it uses less digits than its factorization.

123100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 123100020 is about 11095.0448399274. The cubic root of 123100020 is about 497.4537485516.

Adding to 123100020 its reverse (20001321), we get a palindrome (143101341).

The spelling of 123100020 in words is "one hundred twenty-three million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 311 540 622 733 933 1244 1466 1555 1866 2199 2799 2932 3110 3665 3732 4398 4665 5598 6220 6597 7330 8397 8796 9330 10995 11196 13194 13995 14660 16794 18660 19791 21990 26388 27990 32985 33588 39582 41985 43980 55980 65970 79164 83970 98955 131940 167940 197910 227963 395820 455926 683889 911852 1139815 1367778 2051667 2279630 2735556 3419445 4103334 4559260 6155001 6838890 8206668 10258335 12310002 13677780 20516670 24620004 30775005 41033340 61550010 123100020