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2101330196 = 227374161811
BaseRepresentation
bin111110100111111…
…1100000100010100
312102110000122010022
41331033330010110
513300420031241
6544302444312
7103034004050
oct17517740424
95373018108
102101330196
11989167529
124a7893698
13276465464
1415d114c60
15c472b54b
hex7d3fc114

2101330196 has 96 divisors (see below), whose sum is σ = 4499545344. Its totient is φ = 839808000.

The previous prime is 2101330151. The next prime is 2101330199. The reversal of 2101330196 is 6910331012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101330199) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2590631 + ... + 2591441.

It is an arithmetic number, because the mean of its divisors is an integer number (46870264).

Almost surely, 22101330196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101330196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249772672).

2101330196 is an abundant number, since it is smaller than the sum of its proper divisors (2398215148).

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

2101330196 is a wasteful number, since it uses less digits than its factorization.

2101330196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 2101330196 is about 45840.2682801923. The cubic root of 2101330196 is about 1280.8494922487.

The spelling of 2101330196 in words is "two billion, one hundred one million, three hundred thirty thousand, one hundred ninety-six".

Divisors: 1 2 4 7 14 28 37 41 61 74 82 122 148 164 244 259 287 427 518 574 811 854 1036 1148 1517 1622 1708 2257 2501 3034 3244 4514 5002 5677 6068 9028 10004 10619 11354 15799 17507 21238 22708 30007 31598 33251 35014 42476 49471 60014 63196 66502 70028 92537 98942 120028 133004 185074 197884 210049 232757 346297 370148 420098 465514 647759 692594 840196 931028 1230287 1295518 1385188 1830427 2028311 2460574 2591036 3660854 4056622 4921148 7321708 8113244 8612009 12812989 14198177 17224018 25625978 28396354 34448036 51251956 56792708 75047507 150095014 300190028 525332549 1050665098 2101330196