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132141122124 = 223115965925747
BaseRepresentation
bin111101100010000111…
…0011000001001001100
3110122002010211112000020
41323010032120021030
54131111111401444
6140412122502140
712355403001624
oct1730416301114
9418063745006
10132141122124
115104a244950
1221739964950
13c5cb65cbbb
1465779bb884
153685d00119
hex1ec439824c

132141122124 has 96 divisors (see below), whose sum is σ = 342592588800. Its totient is φ = 39302813760.

The previous prime is 132141122089. The next prime is 132141122137. The reversal of 132141122124 is 421221141231.

It is a super-2 number, since 2×1321411221242 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 132141122094 and 132141122103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5119419 + ... + 5145165.

It is an arithmetic number, because the mean of its divisors is an integer number (3568672800).

Almost surely, 2132141122124 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 132141122124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171296294400).

132141122124 is an abundant number, since it is smaller than the sum of its proper divisors (210451466676).

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

132141122124 is a wasteful number, since it uses less digits than its factorization.

132141122124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26483 (or 26481 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 132141122124 its reverse (421221141231), we get a palindrome (553362263355).

The spelling of 132141122124 in words is "one hundred thirty-two billion, one hundred forty-one million, one hundred twenty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 132 177 236 354 649 659 708 1298 1318 1947 1977 2596 2636 3894 3954 7249 7788 7908 14498 21747 25747 28996 38881 43494 51494 77241 77762 86988 102988 116643 154482 155524 233286 283217 308964 427691 466572 566434 849651 855382 1132868 1283073 1519073 1699302 1710764 2566146 3038146 3398604 4557219 5132292 6076292 9114438 16709803 16967273 18228876 33419606 33934546 50129409 50901819 66839212 67869092 100258818 101803638 186640003 200517636 203607276 373280006 559920009 746560012 1001069107 1119840018 2002138214 2239680036 3003207321 4004276428 6006414642 11011760177 12012829284 22023520354 33035280531 44047040708 66070561062 132141122124