Search a number
-
+
2200200201012 = 22311171549632977
BaseRepresentation
bin100000000001000110001…
…001101100001100110100
321210100002201211210121210
4200001012021230030310
5242022002222413022
64402431422041420
7314650004064342
oct40010611541464
97710081753553
102200200201012
11779110721a70
122b64b6719270
1312c62a1ab188
14786c13a6992
153c373ceaa0c
hex2004626c334

2200200201012 has 96 divisors (see below), whose sum is σ = 5933788963200. Its totient is φ = 627101982720.

The previous prime is 2200200200999. The next prime is 2200200201019. The reversal of 2200200201012 is 2101020020022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200200201019) 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, 3159468 + ... + 3792444.

It is an arithmetic number, because the mean of its divisors is an integer number (61810301700).

Almost surely, 22200200201012 is an apocalyptic number.

2200200201012 is a gapful number since it is divisible by the number (22) 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 2200200201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966894481600).

2200200201012 is an abundant number, since it is smaller than the sum of its proper divisors (3733588762188).

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

2200200201012 is a wasteful number, since it uses less digits than its factorization.

2200200201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634561 (or 634559 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2200200201012 its reverse (2101020020022), we get a palindrome (4301220221034).

The spelling of 2200200201012 in words is "two trillion, two hundred billion, two hundred million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 1549 2244 3098 4647 6196 9294 17039 18588 26333 34078 51117 52666 68156 78999 102234 105332 157998 204468 289663 315996 579326 632977 868989 1158652 1265954 1737978 1898931 2531908 3475956 3797862 6962747 7595724 10760609 13925494 20888241 21521218 27850988 32281827 41776482 43042436 64563654 83552964 118366699 129127308 236733398 355100097 473466796 710200194 980481373 1420400388 1960962746 2941444119 3921925492 5882888238 10785295103 11765776476 16668183341 21570590206 32355885309 33336366682 43141180412 50004550023 64711770618 66672733364 100009100046 129423541236 183350016751 200018200092 366700033502 550050050253 733400067004 1100100100506 2200200201012