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2113245200 = 2452113115493
BaseRepresentation
bin111110111110101…
…1001000000010000
312110021102222102202
41331331121000100
513311442321300
6545410102332
7103240200503
oct17575310020
95407388382
102113245200
11994965440
124ab87a9a8
13278a77861
1416093713a
15c57d1ad5
hex7df59010

2113245200 has 120 divisors (see below), whose sum is σ = 5717657856. Its totient is φ = 743616000.

The previous prime is 2113245149. The next prime is 2113245209. The reversal of 2113245200 is 25423112.

2113245200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2113245209) 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, 128654 + ... + 144146.

Almost surely, 22113245200 is an apocalyptic number.

2113245200 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 2113245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858828928).

2113245200 is an abundant number, since it is smaller than the sum of its proper divisors (3604412656).

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

2113245200 is a wasteful number, since it uses less digits than its factorization.

2113245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15553 (or 15542 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2113245200 is about 45970.0467696086. The cubic root of 2113245200 is about 1283.2658302981.

Adding to 2113245200 its reverse (25423112), we get a palindrome (2138668312).

The spelling of 2113245200 in words is "two billion, one hundred thirteen million, two hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 31 40 44 50 55 62 80 88 100 110 124 155 176 200 220 248 275 310 341 400 440 496 550 620 682 775 880 1100 1240 1364 1550 1705 2200 2480 2728 3100 3410 4400 5456 6200 6820 8525 12400 13640 15493 17050 27280 30986 34100 61972 68200 77465 123944 136400 154930 170423 247888 309860 340846 387325 480283 619720 681692 774650 852115 960566 1239440 1363384 1549300 1704230 1921132 2401415 2726768 3098600 3408460 3842264 4260575 4802830 5283113 6197200 6816920 7684528 8521150 9605660 10566226 12007075 13633840 17042300 19211320 21132452 24014150 26415565 34084600 38422640 42264904 48028300 52831130 68169200 84529808 96056600 105662260 132077825 192113200 211324520 264155650 422649040 528311300 1056622600 2113245200