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123201342 = 232113767251
BaseRepresentation
bin1110101011111…
…10011100111110
322120211021110200
413111332130332
5223014420332
620120344330
73024123405
oct725763476
9276737420
10123201342
11635a8aa0
12353150a6
131c6a8104
141251063c
15ac3917c
hex757e73e

123201342 has 96 divisors (see below), whose sum is σ = 304746624. Its totient is φ = 35640000.

The previous prime is 123201341. The next prime is 123201343. The reversal of 123201342 is 243102321.

123201342 is a `hidden beast` number, since 1 + 2 + 320 + 1 + 342 = 666.

It is an interprime number because it is at equal distance from previous prime (123201341) and next prime (123201343).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123201341) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 490717 + ... + 490967.

It is an arithmetic number, because the mean of its divisors is an integer number (3174444).

Almost surely, 2123201342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123201342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152373312).

123201342 is an abundant number, since it is smaller than the sum of its proper divisors (181545282).

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

123201342 is a wasteful number, since it uses less digits than its factorization.

123201342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 123201342 is about 11099.6099931484. The cubic root of 123201342 is about 497.5901936590.

Adding to 123201342 its reverse (243102321), we get a palindrome (366303663).

The spelling of 123201342 in words is "one hundred twenty-three million, two hundred one thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 67 74 99 111 134 198 201 222 251 333 402 407 502 603 666 737 753 814 1206 1221 1474 1506 2211 2259 2442 2479 2761 3663 4422 4518 4958 5522 6633 7326 7437 8283 9287 13266 14874 16566 16817 18574 22311 24849 27269 27861 33634 44622 49698 50451 54538 55722 81807 83583 100902 102157 151353 163614 167166 184987 204314 245421 302706 306471 369974 490842 554961 612942 622229 919413 1109922 1244458 1664883 1838826 1866687 3329766 3733374 5600061 6844519 11200122 13689038 20533557 41067114 61600671 123201342