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2122013300 = 2252113107149
BaseRepresentation
bin111111001111011…
…0101101001110100
312110212221110000012
41332132311221310
513321213411200
6550322035352
7103404546461
oct17636655164
95425843005
102122013300
11999904000
124b27a8b58
1327a827794
14161b7a668
15c6464a35
hex7e7b5a74

2122013300 has 144 divisors (see below), whose sum is σ = 5146545600. Its totient is φ = 759299200.

The previous prime is 2122013291. The next prime is 2122013303. The reversal of 2122013300 is 33102212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122013303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14241626 + ... + 14241774.

It is an arithmetic number, because the mean of its divisors is an integer number (35739900).

Almost surely, 22122013300 is an apocalyptic number.

2122013300 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 2122013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573272800).

2122013300 is an abundant number, since it is smaller than the sum of its proper divisors (3024532300).

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

2122013300 is a wasteful number, since it uses less digits than its factorization.

2122013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2122013300 is about 46065.3155855900. The cubic root of 2122013300 is about 1285.0381876845.

Adding to 2122013300 its reverse (33102212), we get a palindrome (2155115512).

The spelling of 2122013300 in words is "two billion, one hundred twenty-two million, thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 107 110 121 149 214 220 242 275 298 428 484 535 550 596 605 745 1070 1100 1177 1210 1331 1490 1639 2140 2354 2420 2662 2675 2980 3025 3278 3725 4708 5324 5350 5885 6050 6556 6655 7450 8195 10700 11770 12100 12947 13310 14900 15943 16390 18029 23540 25894 26620 29425 31886 32780 33275 36058 40975 51788 58850 63772 64735 66550 72116 79715 81950 90145 117700 129470 133100 142417 159430 163900 175373 180290 198319 258940 284834 318860 323675 350746 360580 396638 398575 450725 569668 647350 701492 712085 793276 797150 876865 901450 991595 1294700 1424170 1594300 1753730 1802900 1929103 1983190 2848340 3507460 3560425 3858206 3966380 4384325 4957975 7120850 7716412 8768650 9645515 9915950 14241700 17537300 19291030 19831900 21220133 38582060 42440266 48227575 84880532 96455150 106100665 192910300 212201330 424402660 530503325 1061006650 2122013300