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136122030 = 232511359383
BaseRepresentation
bin10000001110100…
…00111010101110
3100111010201022200
420013100322232
5234321401110
621301322330
73242006142
oct1007207256
9314121280
10136122030
116a923550
12397063a6
13222801a5
1414115222
15be3c6c0
hex81d0eae

136122030 has 96 divisors (see below), whose sum is σ = 388177920. Its totient is φ = 32821440.

The previous prime is 136122017. The next prime is 136122031. The reversal of 136122030 is 30221631.

136122030 is a `hidden beast` number, since 1 + 3 + 612 + 20 + 30 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 136121994 and 136122012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136122031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355219 + ... + 355601.

It is an arithmetic number, because the mean of its divisors is an integer number (4043520).

Almost surely, 2136122030 is an apocalyptic number.

136122030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 136122030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194088960).

136122030 is an abundant number, since it is smaller than the sum of its proper divisors (252055890).

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

136122030 is a wasteful number, since it uses less digits than its factorization.

136122030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 136122030 is about 11667.1346096632. The cubic root of 136122030 is about 514.4100826864.

Adding to 136122030 its reverse (30221631), we get a palindrome (166343661).

The spelling of 136122030 in words is "one hundred thirty-six million, one hundred twenty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 359 383 495 718 766 990 1077 1149 1795 1915 2154 2298 3231 3447 3590 3830 3949 4213 5385 5745 6462 6894 7898 8426 10770 11490 11847 12639 16155 17235 19745 21065 23694 25278 32310 34470 35541 37917 39490 42130 59235 63195 71082 75834 118470 126390 137497 177705 189585 274994 355410 379170 412491 687485 824982 1237473 1374970 1512467 2062455 2474946 3024934 4124910 4537401 6187365 7562335 9074802 12374730 13612203 15124670 22687005 27224406 45374010 68061015 136122030