Search a number
-
+
2100948402 = 23731636263
BaseRepresentation
bin111110100111001…
…1110110110110010
312102102022020101210
41331032132312302
513300320322102
6544250340550
7103030524000
oct17516366662
95372266353
102100948402
11988a266a3
124a772a756
13276360747
1415d055a70
15c46a336c
hex7d39edb2

2100948402 has 64 divisors (see below), whose sum is σ = 4931020800. Its totient is φ = 596493072.

The previous prime is 2100948401. The next prime is 2100948403. The reversal of 2100948402 is 2048490012.

It is an interprime number because it is at equal distance from previous prime (2100948401) and next prime (2100948403).

It is a self number, because there is not a number n which added to its sum of digits gives 2100948402.

It is not an unprimeable number, because it can be changed into a prime (2100948401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332323 + ... + 338585.

It is an arithmetic number, because the mean of its divisors is an integer number (77047200).

Almost surely, 22100948402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100948402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465510400).

2100948402 is an abundant number, since it is smaller than the sum of its proper divisors (2830072398).

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

2100948402 is a wasteful number, since it uses less digits than its factorization.

2100948402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6452 (or 6438 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 2100948402 is about 45836.1036956677. The cubic root of 2100948402 is about 1280.7719143614.

The spelling of 2100948402 in words is "two billion, one hundred million, nine hundred forty-eight thousand, four hundred two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 163 294 326 343 489 686 978 1029 1141 2058 2282 3423 6263 6846 7987 12526 15974 18789 23961 37578 43841 47922 55909 87682 111818 131523 167727 263046 306887 335454 613774 920661 1020869 1841322 2041738 2148209 3062607 4296418 6125214 6444627 7146083 12889254 14292166 21438249 42876498 50022581 100045162 150067743 300135486 350158067 700316134 1050474201 2100948402