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20213121004200 = 23325226342697763
BaseRepresentation
bin1001001100010001110111…
…11001011011001010101000
32122120100121011020021011200
410212020323321123022220
510122132432434113300
6110553440220524200
74154230660456305
oct446107371331250
978510534207150
1020213121004200
116493377940963
1223255313b0660
13b38120a90907
144dc46aba60ac
15250bca1b0200
hex12623be5b2a8

20213121004200 has 144 divisors (see below), whose sum is σ = 68140507612320. Its totient is φ = 5369670549120.

The previous prime is 20213121004177. The next prime is 20213121004213. The reversal of 20213121004200 is 240012131202.

It is a happy number.

20213121004200 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 31 + 210 + 0 + 420 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20875482 + ... + 21822281.

It is an arithmetic number, because the mean of its divisors is an integer number (473197969530).

Almost surely, 220213121004200 is an apocalyptic number.

20213121004200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20213121004200 is an abundant number, since it is smaller than the sum of its proper divisors (47927386608120).

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

20213121004200 is a wasteful number, since it uses less digits than its factorization.

20213121004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42698048 (or 42698036 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20213121004200 its reverse (240012131202), we get a palindrome (20453133135402).

The spelling of 20213121004200 in words is "twenty trillion, two hundred thirteen billion, one hundred twenty-one million, four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 263 300 360 450 526 600 789 900 1052 1315 1578 1800 2104 2367 2630 3156 3945 4734 5260 6312 6575 7890 9468 10520 11835 13150 15780 18936 19725 23670 26300 31560 39450 47340 52600 59175 78900 94680 118350 157800 236700 473400 42697763 85395526 128093289 170791052 213488815 256186578 341582104 384279867 426977630 512373156 640466445 768559734 853955260 1024746312 1067444075 1280932890 1537119468 1707910520 1921399335 2134888150 2561865780 3074238936 3202332225 3842798670 4269776300 5123731560 6404664450 7685597340 8539552600 9606996675 11229511669 12809328900 15371194680 19213993350 22459023338 25618657800 33688535007 38427986700 44918046676 56147558345 67377070014 76855973400 89836093352 101065605021 112295116690 134754140028 168442675035 202131210042 224590233380 269508280056 280737791725 336885350070 404262420084 449180466760 505328025105 561475583450 673770700140 808524840168 842213375175 1010656050210 1122951166900 1347541400280 1684426750350 2021312100420 2245902333800 2526640125525 3368853500700 4042624200840 5053280251050 6737707001400 10106560502100 20213121004200