Search a number
-
+
2010033100 = 2252732511097
BaseRepresentation
bin111011111001110…
…1010101111001100
312012002020021001101
41313303222233030
513104032024400
6531241552444
7100544666545
oct16763525714
95162207041
102010033100
1194167a689
124811a5724
1326057acca
14150d4b4cc
15bb6e556a
hex77ceabcc

2010033100 has 72 divisors (see below), whose sum is σ = 4443184368. Its totient is φ = 789120000.

The previous prime is 2010033079. The next prime is 2010033107. The reversal of 2010033100 is 13300102.

It is a super-2 number, since 2×20100331002 = 8080466126191220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2010033107) 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, 1831752 + ... + 1832848.

It is an arithmetic number, because the mean of its divisors is an integer number (61710894).

Almost surely, 22010033100 is an apocalyptic number.

2010033100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221592184).

2010033100 is an abundant number, since it is smaller than the sum of its proper divisors (2433151268).

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

2010033100 is a wasteful number, since it uses less digits than its factorization.

2010033100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 2010033100 is about 44833.3926889322. The cubic root of 2010033100 is about 1262.0243556740.

Adding to 2010033100 its reverse (13300102), we get a palindrome (2023333202).

The spelling of 2010033100 in words is "two billion, ten million, thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 251 292 365 502 730 1004 1097 1255 1460 1825 2194 2510 3650 4388 5020 5485 6275 7300 10970 12550 18323 21940 25100 27425 36646 54850 73292 80081 91615 109700 160162 183230 275347 320324 366460 400405 458075 550694 800810 916150 1101388 1376735 1601620 1832300 2002025 2753470 4004050 5506940 6883675 8008100 13767350 20100331 27534700 40200662 80401324 100501655 201003310 402006620 502508275 1005016550 2010033100