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40101012 = 223272127179
BaseRepresentation
bin1001100011111…
…0010010010100
32210110100020200
42120332102110
540231213022
63551300500
7664565400
oct230762224
983410220
1040101012
11206aa536
121151a730
138400813
14547c100
1537c1bac
hex263e494

40101012 has 108 divisors (see below), whose sum is σ = 119508480. Its totient is φ = 11303712.

The previous prime is 40100999. The next prime is 40101031. The reversal of 40101012 is 21010104.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 40100985 and 40101003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 223939 + ... + 224117.

It is an arithmetic number, because the mean of its divisors is an integer number (1106560).

Almost surely, 240101012 is an apocalyptic number.

40101012 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 40101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59754240).

40101012 is an abundant number, since it is smaller than the sum of its proper divisors (79407468).

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

40101012 is a wasteful number, since it uses less digits than its factorization.

40101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 40101012 is about 6332.5359848958. The cubic root of 40101012 is about 342.2828274974.

Adding to 40101012 its reverse (21010104), we get a palindrome (61111116).

The spelling of 40101012 in words is "forty million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 127 147 179 196 252 254 294 358 381 441 508 537 588 716 762 882 889 1074 1143 1253 1524 1611 1764 1778 2148 2286 2506 2667 3222 3556 3759 4572 5012 5334 6223 6444 7518 8001 8771 10668 11277 12446 15036 16002 17542 18669 22554 22733 24892 26313 32004 35084 37338 45108 45466 52626 56007 68199 74676 78939 90932 105252 112014 136398 157878 159131 204597 224028 272796 315756 318262 409194 477393 636524 818388 954786 1113917 1432179 1909572 2227834 2864358 3341751 4455668 5728716 6683502 10025253 13367004 20050506 40101012