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132122124 = 22331931267
BaseRepresentation
bin1111110000000…
…00011000001100
3100012121111111000
413320000120030
5232310401444
621035500300
73163006461
oct770003014
9305544430
10132122124
1168641342
12382b7690
13214ac694
1413793668
15b8ec469
hex7e0060c

132122124 has 144 divisors (see below), whose sum is σ = 378134400. Its totient is φ = 39774240.

The previous prime is 132122119. The next prime is 132122129. The reversal of 132122124 is 421221231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132122119) and next prime (132122129).

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

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 132122097 and 132122106.

It is not an unprimeable number, because it can be changed into a prime (132122129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1971939 + ... + 1972005.

Almost surely, 2132122124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132122124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189067200).

132122124 is an abundant number, since it is smaller than the sum of its proper divisors (246012276).

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

132122124 is a wasteful number, since it uses less digits than its factorization.

132122124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 122 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 132122124 is about 11494.4388292774. The cubic root of 132122124 is about 509.3213117615.

Adding to 132122124 its reverse (421221231), we get a palindrome (553343355).

The spelling of 132122124 in words is "one hundred thirty-two million, one hundred twenty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 31 36 38 54 57 62 67 76 93 108 114 124 134 171 186 201 228 268 279 342 372 402 513 558 589 603 684 804 837 961 1026 1116 1178 1206 1273 1674 1767 1809 1922 2052 2077 2356 2412 2546 2883 3348 3534 3618 3819 3844 4154 5092 5301 5766 6231 7068 7236 7638 8308 8649 10602 11457 11532 12462 15276 15903 17298 18259 18693 21204 22914 24924 25947 31806 34371 34596 36518 37386 39463 45828 51894 54777 56079 63612 64387 68742 73036 74772 78926 103788 109554 112158 118389 128774 137484 157852 164331 193161 219108 224316 236778 257548 328662 355167 386322 473556 492993 579483 657324 710334 772644 985986 1065501 1158966 1223353 1420668 1738449 1971972 2131002 2317932 2446706 3476898 3670059 4262004 4893412 6953796 7340118 11010177 14680236 22020354 33030531 44040708 66061062 132122124