Search a number
-
+
2101122203130 = 2325101743311099
BaseRepresentation
bin11110100100110100101…
…001000111110111111010
321102212100211010000111200
4132210310221013313322
5233411044241000010
64245124152435030
7304541524022556
oct36446451076772
97385324100450
102101122203130
11740098786795
1229b2656a8a76
1312319a6c9922
14739a298c866
15399c59d6cc0
hex1e934a47dfa

2101122203130 has 96 divisors (see below), whose sum is σ = 5524449091200. Its totient is φ = 554003318400.

The previous prime is 2101122203099. The next prime is 2101122203183. The reversal of 2101122203130 is 313022211012.

2101122203130 is a `hidden beast` number, since 21 + 0 + 112 + 220 + 313 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6598321 + ... + 6909419.

It is an arithmetic number, because the mean of its divisors is an integer number (57546344700).

Almost surely, 22101122203130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101122203130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762224545600).

2101122203130 is an abundant number, since it is smaller than the sum of its proper divisors (3423326888070).

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

2101122203130 is a wasteful number, since it uses less digits than its factorization.

2101122203130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311956 (or 311953 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2101122203130 its reverse (313022211012), we get a palindrome (2414144414142).

The spelling of 2101122203130 in words is "two trillion, one hundred one billion, one hundred twenty-two million, two hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 743 909 1010 1486 1515 1818 2229 3030 3715 4458 4545 6687 7430 9090 11145 13374 22290 33435 66870 75043 150086 225129 311099 375215 450258 622198 675387 750430 933297 1125645 1350774 1555495 1866594 2251290 2799891 3110990 3376935 4666485 5599782 6753870 9332970 13999455 27998910 31420999 62841998 94262997 157104995 188525994 231146557 282788991 314209990 462293114 471314985 565577982 693439671 942629970 1155732785 1386879342 1413944955 2080319013 2311465570 2827889910 3467198355 4160638026 6934396710 10401595065 20803190130 23345802257 46691604514 70037406771 116729011285 140074813542 210112220313 233458022570 350187033855 420224440626 700374067710 1050561101565 2101122203130