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1022002002200 = 235236742133073
BaseRepresentation
bin11101101111101000001…
…00001111100100011000
310121200222002001221110102
432313310010033210120
5113221030003032300
62101300133434532
7133560106454024
oct16676404174430
93550862057412
101022002002200
11364479539893
121460a249ba48
13754b366bc5a
1437672589384
151b8b813d0d5
hexedf410f918

1022002002200 has 96 divisors (see below), whose sum is σ = 2388360855360. Its totient is φ = 406706227200.

The previous prime is 1022002002191. The next prime is 1022002002239. The reversal of 1022002002200 is 22002002201.

1022002002200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30884864 + ... + 30917936.

It is an arithmetic number, because the mean of its divisors is an integer number (24878758910).

Almost surely, 21022002002200 is an apocalyptic number.

1022002002200 is a gapful number since it is divisible by the number (10) 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 1022002002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194180427680).

1022002002200 is an abundant number, since it is smaller than the sum of its proper divisors (1366358853160).

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

1022002002200 is a wasteful number, since it uses less digits than its factorization.

1022002002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33877 (or 33868 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 1022002002200 its reverse (22002002201), we get a palindrome (1044004004401).

Subtracting from 1022002002200 its reverse (22002002201), we obtain a palindrome (999999999999).

The spelling of 1022002002200 in words is "one trillion, twenty-two billion, two million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 367 421 734 842 1468 1684 1835 2105 2936 3368 3670 4210 7340 8420 9175 10525 14680 16840 18350 21050 33073 36700 42100 66146 73400 84200 132292 154507 165365 264584 309014 330730 618028 661460 772535 826825 1236056 1322920 1545070 1653650 3090140 3307300 3862675 6180280 6614600 7725350 12137791 13923733 15450700 24275582 27847466 30901400 48551164 55694932 60688955 69618665 97102328 111389864 121377910 139237330 242755820 278474660 303444775 348093325 485511640 556949320 606889550 696186650 1213779100 1392373300 2427558200 2784746600 5110010011 10220020022 20440040044 25550050055 40880080088 51100100110 102200200220 127750250275 204400400440 255500500550 511001001100 1022002002200