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2102020002 = 232237017243
BaseRepresentation
bin111110101001010…
…0100011110100010
312102111022200100200
41331102210132202
513301104120002
6544325330030
7103042606125
oct17522443642
95374280320
102102020002
11989598815
124a7b66916
13276647424
1415d2543bc
15c4815b1c
hex7d4a47a2

2102020002 has 48 divisors (see below), whose sum is σ = 4759829568. Its totient is φ = 669160800.

The previous prime is 2102019977. The next prime is 2102020003. The reversal of 2102020002 is 2000202012.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2102020003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286593 + ... + 293835.

It is an arithmetic number, because the mean of its divisors is an integer number (99163116).

Almost surely, 22102020002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102020002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379914784).

2102020002 is an abundant number, since it is smaller than the sum of its proper divisors (2657809566).

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

2102020002 is a wasteful number, since it uses less digits than its factorization.

2102020002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7975 (or 7972 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2102020002 is about 45847.7916807342. The cubic root of 2102020002 is about 1280.9896322108.

Adding to 2102020002 its reverse (2000202012), we get a palindrome (4102222014).

The spelling of 2102020002 in words is "two billion, one hundred two million, twenty thousand, two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 701 1402 2103 4206 6309 7243 12618 14486 16123 21729 32246 43458 48369 65187 96738 130374 145107 166589 290214 333178 499767 999534 1499301 2998602 5077343 10154686 15232029 30464058 45696087 91392174 116778889 233557778 350336667 700673334 1051010001 2102020002