Search a number
-
+
21121000000012 = 221119292287380929
BaseRepresentation
bin1001100110101100111011…
…01100111100101000001100
32202210010222210201210202201
410303112131230330220030
510232021302000000022
6112530504202331244
74306641032554153
oct463263554745014
982703883653681
1021121000000012
116803402970940
1224514841b9b24
13ba29179a3b03
1453039475859a
15269614284127
hex13359db3ca0c

21121000000012 has 96 divisors (see below), whose sum is σ = 43927019136000. Its totient is φ = 8777678192640.

The previous prime is 21120999999919. The next prime is 21121000000013. The reversal of 21121000000012 is 21000000012112.

It is not an unprimeable number, because it can be changed into a prime (21121000000013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55255564 + ... + 55636492.

It is an arithmetic number, because the mean of its divisors is an integer number (457573116000).

Almost surely, 221121000000012 is an apocalyptic number.

21121000000012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21121000000012 is an abundant number, since it is smaller than the sum of its proper divisors (22806019135988).

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

21121000000012 is a wasteful number, since it uses less digits than its factorization.

21121000000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383279 (or 383277 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21121000000012 its reverse (21000000012112), we get a palindrome (42121000012124).

The spelling of 21121000000012 in words is "twenty-one trillion, one hundred twenty-one billion, twelve", and thus it is an aban number.

Divisors: 1 2 4 11 19 22 29 38 44 58 76 116 209 319 418 551 638 836 1102 1276 2204 2287 4574 6061 9148 12122 24244 25157 43453 50314 66323 86906 100628 132646 173812 265292 380929 477983 729553 761858 955966 1260137 1459106 1523716 1911932 2520274 2918212 4190219 5040548 7237651 8380438 11046941 13861507 14475302 16760876 22093882 27723014 28950604 44187764 55446028 79614161 121516351 159228322 209891879 243032702 318456644 419783758 486065404 839567516 871184623 1742369246 2308810669 3484738492 4617621338 9235242676 9583030853 16552507837 19166061706 25264354067 33105015674 38332123412 50528708134 66210031348 101057416268 182077586207 277907894737 364155172414 480022727273 555815789474 728310344828 960045454546 1111631578948 1920090909092 5280250000003 10560500000006 21121000000012