Search a number
-
+
2200201101012 = 2231921313877061
BaseRepresentation
bin100000000001000110001…
…101000111111011010100
321210100002210112112012010
4200001012031013323110
5242022002440213022
64402431453224220
7314650014533265
oct40010615077324
97710083475163
102200201101012
11779111187172
122b64b6a92070
1312c62a434a15
14786c155c96c
153c373e2750c
hex20046347ed4

2200201101012 has 72 divisors (see below), whose sum is σ = 5459585658912. Its totient is φ = 689496350400.

The previous prime is 2200201100989. The next prime is 2200201101023. The reversal of 2200201101012 is 2101011020022.

It is a super-4 number, since 4×22002011010124 (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1371039 + ... + 2506022.

It is an arithmetic number, because the mean of its divisors is an integer number (75827578596).

Almost surely, 22200201101012 is an apocalyptic number.

It is an amenable number.

2200201101012 is an abundant number, since it is smaller than the sum of its proper divisors (3259384557900).

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

2200201101012 is a wasteful number, since it uses less digits than its factorization.

2200201101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3877237 (or 3877216 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2200201101012 its reverse (2101011020022), we get a palindrome (4301212121034).

The spelling of 2200201101012 in words is "two trillion, two hundred billion, two hundred one million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 131 228 262 361 393 524 722 786 1083 1444 1572 2166 2489 4332 4978 7467 9956 14934 29868 47291 94582 141873 189164 283746 567492 3877061 7754122 11631183 15508244 23262366 46524732 73664159 147328318 220992477 294656636 441984954 507894991 883969908 1015789982 1399619021 1523684973 2031579964 2799238042 3047369946 4198857063 5598476084 6094739892 8397714126 9650004829 16795428252 19300009658 28950014487 38600019316 57900028974 115800057948 183350091751 366700183502 550050275253 733400367004 1100100550506 2200201101012