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4121013402 = 2331124115383
BaseRepresentation
bin1111010110100001…
…1010110010011010
3101122012102011122000
43311220122302122
531414434412102
61520531341430
7204060015222
oct36550326232
911565364560
104121013402
111825228400
12970151876
13508a1198c
142b1455082
15191bcb01c
hexf5a1ac9a

4121013402 has 96 divisors (see below), whose sum is σ = 10312202880. Its totient is φ = 1218254400.

The previous prime is 4121013373. The next prime is 4121013473. The reversal of 4121013402 is 2043101214.

4121013402 is a `hidden beast` number, since 41 + 210 + 13 + 402 = 666.

It is a super-2 number, since 2×41210134022 = 33965502918927227208, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260203 + ... + 275585.

It is an arithmetic number, because the mean of its divisors is an integer number (107418780).

Almost surely, 24121013402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4121013402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5156101440).

4121013402 is an abundant number, since it is smaller than the sum of its proper divisors (6191189478).

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

4121013402 is a wasteful number, since it uses less digits than its factorization.

4121013402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15457 (or 15440 counting only the distinct ones).

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

The square root of 4121013402 is about 64195.1197677830. The cubic root of 4121013402 is about 1603.2503459462.

Adding to 4121013402 its reverse (2043101214), we get a palindrome (6164114616).

The spelling of 4121013402 in words is "four billion, one hundred twenty-one million, thirteen thousand, four hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 54 66 82 99 121 123 198 242 246 297 363 369 451 594 726 738 902 1089 1107 1353 2178 2214 2706 3267 4059 4961 6534 8118 9922 12177 14883 15383 24354 29766 30766 44649 46149 89298 92298 133947 138447 169213 267894 276894 338426 415341 507639 630703 830682 1015278 1261406 1522917 1861343 1892109 3045834 3722686 3784218 4568751 5584029 5676327 6937733 9137502 11168058 11352654 13875466 16752087 17028981 20813199 33504174 34057962 41626398 50256261 62439597 76315063 100512522 124879194 152630126 187318791 228945189 374637582 457890378 686835567 1373671134 2060506701 4121013402