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1022002020200 = 235271861392263
BaseRepresentation
bin11101101111101000001…
…00010011111101101000
310121200222002002212011002
432313310010103331220
5113221030004121300
62101300134054132
7133560106560350
oct16676404237550
93550862085132
101022002020200
11364479551367
121460a24aa348
13754b36771c5
1437672591b60
151b8b81435d5
hexedf4113f68

1022002020200 has 96 divisors (see below), whose sum is σ = 2717071512960. Its totient is φ = 350211513600.

The previous prime is 1022002020139. The next prime is 1022002020211. The reversal of 1022002020200 is 20202002201.

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, 2409269 + ... + 2801531.

It is an arithmetic number, because the mean of its divisors is an integer number (28302828260).

Almost surely, 21022002020200 is an apocalyptic number.

1022002020200 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 1022002020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358535756480).

1022002020200 is an abundant number, since it is smaller than the sum of its proper divisors (1695069492760).

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

1022002020200 is a wasteful number, since it uses less digits than its factorization.

1022002020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394147 (or 394138 counting only the distinct ones).

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

Adding to 1022002020200 its reverse (20202002201), we get a palindrome (1042204022401).

The spelling of 1022002020200 in words is "one trillion, twenty-two billion, two million, twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 1861 3722 7444 9305 13027 14888 18610 26054 37220 46525 52108 65135 74440 93050 104216 130270 186100 260540 325675 372200 392263 521080 651350 784526 1302700 1569052 1961315 2605400 2745841 3138104 3922630 5491682 7845260 9806575 10983364 13729205 15690520 19613150 21966728 27458410 39226300 54916820 68646025 78452600 109833640 137292050 274584100 549168200 730001443 1460002886 2920005772 3650007215 5110010101 5840011544 7300014430 10220020202 14600028860 18250036075 20440040404 25550050505 29200057720 36500072150 40880080808 51100101010 73000144300 102200202020 127750252525 146000288600 204400404040 255500505050 511001010100 1022002020200