Search a number
-
+
2138202012 = 2231961153739
BaseRepresentation
bin111111101110010…
…0101111110011100
312112000101220202010
41333130211332130
513334334431022
6552101031220
7103662263052
oct17734457634
95460356663
102138202012
119a7a60901
124b80b5510
13280ca51bb
14163d921d2
15c7ab150c
hex7f725f9c

2138202012 has 48 divisors (see below), whose sum is σ = 5337852800. Its totient is φ = 664148160.

The previous prime is 2138201971. The next prime is 2138202023. The reversal of 2138202012 is 2102028312.

It is a happy number.

It is a super-3 number, since 3×21382020123 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2138202012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62962 + ... + 90777.

Almost surely, 22138202012 is an apocalyptic number.

It is an amenable number.

2138202012 is an abundant number, since it is smaller than the sum of its proper divisors (3199650788).

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

2138202012 is a wasteful number, since it uses less digits than its factorization.

2138202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153826 (or 153824 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2138202012 is about 46240.6964912943. The cubic root of 2138202012 is about 1288.2977390910.

The spelling of 2138202012 in words is "two billion, one hundred thirty-eight million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 61 76 114 122 183 228 244 366 732 1159 2318 3477 4636 6954 13908 153739 307478 461217 614956 922434 1844868 2921041 5842082 8763123 9378079 11684164 17526246 18756158 28134237 35052492 37512316 56268474 112536948 178183501 356367002 534550503 712734004 1069101006 2138202012