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4015122132 = 2237267101917
BaseRepresentation
bin1110111101010001…
…1110011011010100
3101100211011100010010
43233110132123110
531210332402012
61502230000220
7201332655300
oct35724363324
911324140103
104015122132
11178048275a
129407a6070
134bcab7818
142a136cd00
15187760c3c
hexef51e6d4

4015122132 has 72 divisors (see below), whose sum is σ = 11060956704. Its totient is φ = 1130044608.

The previous prime is 4015122131. The next prime is 4015122151. The reversal of 4015122132 is 2312215104.

It is a super-2 number, since 2×40151221322 = 32242411469752450848, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4015122099 and 4015122108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4015122131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11563 + ... + 90354.

Almost surely, 24015122132 is an apocalyptic number.

4015122132 is a gapful number since it is divisible by the number (42) 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 4015122132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5530478352).

4015122132 is an abundant number, since it is smaller than the sum of its proper divisors (7045834572).

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

4015122132 is a wasteful number, since it uses less digits than its factorization.

4015122132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102005 (or 101996 counting only the distinct ones).

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

The square root of 4015122132 is about 63364.9913753644. The cubic root of 4015122132 is about 1589.3989437345.

Adding to 4015122132 its reverse (2312215104), we get a palindrome (6327337236).

The spelling of 4015122132 in words is "four billion, fifteen million, one hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 67 84 98 134 147 196 201 268 294 402 469 588 804 938 1407 1876 2814 3283 5628 6566 9849 13132 19698 39396 101917 203834 305751 407668 611502 713419 1223004 1426838 2140257 2853676 4280514 4993933 6828439 8561028 9987866 13656878 14981799 19975732 20485317 27313756 29963598 40970634 47799073 59927196 81941268 95598146 143397219 191196292 286794438 334593511 573588876 669187022 1003780533 1338374044 2007561066 4015122132