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1002200000200 = 23527612192383
BaseRepresentation
bin11101001010101111100…
…01100110011011001000
310112210212001010000101221
432211113301212123020
5112410001200001300
62044223200051424
7132256310305540
oct16452761463310
93483761100357
101002200000200
11357037855683
12142296903b74
1373678cca2c9
14367146c4320
151b10998331a
hexe957c666c8

1002200000200 has 144 divisors (see below), whose sum is σ = 2707373859840. Its totient is φ = 337976697600.

The previous prime is 1002200000177. The next prime is 1002200000203. The reversal of 1002200000200 is 20000022001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (1002200000203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5113209 + ... + 5305591.

It is an arithmetic number, because the mean of its divisors is an integer number (18801207360).

Almost surely, 21002200000200 is an apocalyptic number.

1002200000200 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 1002200000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353686929920).

1002200000200 is an abundant number, since it is smaller than the sum of its proper divisors (1705173859640).

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

1002200000200 is a wasteful number, since it uses less digits than its factorization.

1002200000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192528 (or 192458 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 1002200000200 its reverse (20000022001), we get a palindrome (1022200022201).

The spelling of 1002200000200 in words is "one trillion, two billion, two hundred million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 61 70 100 122 140 175 200 244 280 305 350 427 488 610 700 854 1220 1400 1525 1708 2135 2440 3050 3416 3721 4270 6100 7442 8540 10675 12200 14884 17080 18605 21350 26047 29768 37210 42700 52094 74420 85400 93025 104188 130235 148840 186050 192383 208376 260470 372100 384766 520940 651175 744200 769532 961915 1041880 1302350 1346681 1539064 1923830 2604700 2693362 3847660 4809575 5209400 5386724 6733405 7695320 9619150 10773448 11735363 13466810 19238300 23470726 26933620 33667025 38476600 46941452 53867240 58676815 67334050 82147541 93882904 117353630 134668100 164295082 234707260 269336200 293384075 328590164 410737705 469414520 586768150 657180328 715857143 821475410 1173536300 1431714286 1642950820 2053688525 2347072600 2863428572 3285901640 3579285715 4107377050 5011000001 5726857144 7158571430 8214754100 10022000002 14317142860 16429508200 17896428575 20044000004 25055000005 28634285720 35792857150 40088000008 50110000010 71585714300 100220000020 125275000025 143171428600 200440000040 250550000050 501100000100 1002200000200