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200022102221100 = 223523153405806659
BaseRepresentation
bin101101011110101101000110…
…010110011010000100101100
3222020012221000012212020000220
4231132231012112122010230
5202204130231132033400
61545224515112451340
760063056105146065
oct5536550626320454
9866187005766026
10200022102221100
1158807996158185
121a5257593a9b50
13877c007351613
14375719b1b356c
15181d0796607a0
hexb5eb4659a12c

200022102221100 has 144 divisors (see below), whose sum is σ = 608671032560640. Its totient is φ = 50644670918400.

The previous prime is 200022102221099. The next prime is 200022102221147. The reversal of 200022102221100 is 1122201220002.

200022102221100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 200022102221100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202410430 + ... + 203396229.

It is an arithmetic number, because the mean of its divisors is an integer number (4226882170560).

Almost surely, 2200022102221100 is an apocalyptic number.

200022102221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200022102221100 is an abundant number, since it is smaller than the sum of its proper divisors (408648930339540).

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

200022102221100 is a wasteful number, since it uses less digits than its factorization.

200022102221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405806760 (or 405806753 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 200022102221100 its reverse (1122201220002), we get a palindrome (201144303441102).

The spelling of 200022102221100 in words is "two hundred trillion, twenty-two billion, one hundred two million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 53 60 62 75 93 100 106 124 150 155 159 186 212 265 300 310 318 372 465 530 620 636 775 795 930 1060 1325 1550 1590 1643 1860 2325 2650 3100 3180 3286 3975 4650 4929 5300 6572 7950 8215 9300 9858 15900 16430 19716 24645 32860 41075 49290 82150 98580 123225 164300 246450 492900 405806659 811613318 1217419977 1623226636 2029033295 2434839954 4058066590 4869679908 6087099885 8116133180 10145166475 12174199770 12580006429 20290332950 21507752927 24348399540 25160012858 30435499425 37740019287 40580665900 43015505854 50320025716 60870998850 62900032145 64523258781 75480038574 86031011708 107538764635 121741997700 125800064290 129046517562 150960077148 188700096435 215077529270 251600128580 258093035124 314500160725 322616293905 377400192870 430155058540 537693823175 629000321450 645232587810 666740340737 754800385740 943500482175 1075387646350 1258000642900 1290465175620 1333480681474 1613081469525 1887000964350 2000221022211 2150775292700 2666961362948 3226162939050 3333701703685 3774001928700 4000442044422 6452325878100 6667403407370 8000884088844 10001105111055 13334806814740 16668508518425 20002210222110 33337017036850 40004420444220 50005525555275 66674034073700 100011051110550 200022102221100