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141122352 = 24372292069
BaseRepresentation
bin10000110100101…
…01101100110000
3100211112202110210
420122111230300
5242111403402
622000424120
73332343300
oct1032255460
9324482423
10141122352
1172729348
123b318040
1323311167
1414a57600
15c5c906c
hex8695b30

141122352 has 120 divisors (see below), whose sum is σ = 438922800. Its totient is φ = 38911488.

The previous prime is 141122339. The next prime is 141122357. The reversal of 141122352 is 253221141.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (141122357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67174 + ... + 69242.

It is an arithmetic number, because the mean of its divisors is an integer number (3657690).

Almost surely, 2141122352 is an apocalyptic number.

141122352 is a gapful number since it is divisible by the number (12) 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 141122352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219461400).

141122352 is an abundant number, since it is smaller than the sum of its proper divisors (297800448).

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

141122352 is a wasteful number, since it uses less digits than its factorization.

141122352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123 (or 2110 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 141122352 is about 11879.4929184709. The cubic root of 141122352 is about 520.6332915376.

Adding to 141122352 its reverse (253221141), we get a palindrome (394343493).

The spelling of 141122352 in words is "one hundred forty-one million, one hundred twenty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 49 56 58 84 87 98 112 116 147 168 174 196 203 232 294 336 348 392 406 464 588 609 696 784 812 1176 1218 1392 1421 1624 2069 2352 2436 2842 3248 4138 4263 4872 5684 6207 8276 8526 9744 11368 12414 14483 16552 17052 22736 24828 28966 33104 34104 43449 49656 57932 60001 68208 86898 99312 101381 115864 120002 173796 180003 202762 231728 240004 304143 347592 360006 405524 420007 480008 608286 695184 720012 811048 840014 960016 1216572 1260021 1440024 1622096 1680028 2433144 2520042 2880048 2940049 3360056 4866288 5040084 5880098 6720112 8820147 10080168 11760196 17640294 20160336 23520392 35280588 47040784 70561176 141122352