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122013150 = 23527294007
BaseRepresentation
bin1110100010111…
…00010111011110
322111120220120120
413101130113132
5222213410100
620035055410
73011044320
oct721342736
9274526516
10122013150
1162967316
1234a41566
131c38033c
14122c1610
15aaa20a0
hex745c5de

122013150 has 96 divisors (see below), whose sum is σ = 357834240. Its totient is φ = 26920320.

The previous prime is 122013119. The next prime is 122013163. The reversal of 122013150 is 51310221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28447 + ... + 32453.

It is an arithmetic number, because the mean of its divisors is an integer number (3727440).

Almost surely, 2122013150 is an apocalyptic number.

122013150 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 122013150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178917120).

122013150 is an abundant number, since it is smaller than the sum of its proper divisors (235821090).

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

122013150 is a wasteful number, since it uses less digits than its factorization.

122013150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058 (or 4053 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 122013150 is about 11045.9562736777. The cubic root of 122013150 is about 495.9853853437.

Adding to 122013150 its reverse (51310221), we get a palindrome (173323371).

It can be divided in two parts, 12201 and 3150, that added together give a palindrome (15351).

The spelling of 122013150 in words is "one hundred twenty-two million, thirteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 29 30 35 42 50 58 70 75 87 105 145 150 174 175 203 210 290 350 406 435 525 609 725 870 1015 1050 1218 1450 2030 2175 3045 4007 4350 5075 6090 8014 10150 12021 15225 20035 24042 28049 30450 40070 56098 60105 84147 100175 116203 120210 140245 168294 200350 232406 280490 300525 348609 420735 581015 601050 697218 701225 813421 841470 1162030 1402450 1626842 1743045 2103675 2440263 2905075 3486090 4067105 4207350 4880526 5810150 8134210 8715225 12201315 17430450 20335525 24402630 40671050 61006575 122013150