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21123003201312 = 2534113938608753
BaseRepresentation
bin1001100110110000101010…
…00110100011011100100000
32202210100011102002222100110
410303120111012203130200
510232034402304420222
6112531435042051320
74310041465521165
oct463302506433440
982710142088313
1021123003201312
1168042406a4701
122451943049b40
13ba2b769cc31c
1453050480806c
152696d007a30c
hex1336151a3720

21123003201312 has 96 divisors (see below), whose sum is σ = 57208907327040. Its totient is φ = 6819849953280.

The previous prime is 21123003201277. The next prime is 21123003201319. The reversal of 21123003201312 is 21310230032112.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (21123003201319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18757273 + ... + 19851480.

It is an arithmetic number, because the mean of its divisors is an integer number (595926117990).

Almost surely, 221123003201312 is an apocalyptic number.

It is an amenable number.

21123003201312 is an abundant number, since it is smaller than the sum of its proper divisors (36085904125728).

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

21123003201312 is a wasteful number, since it uses less digits than its factorization.

21123003201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38608946 (or 38608938 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 21123003201312 its reverse (21310230032112), we get a palindrome (42433233233424).

The spelling of 21123003201312 in words is "twenty-one trillion, one hundred twenty-three billion, three million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 139 164 246 278 328 417 492 556 656 834 984 1112 1312 1668 1968 2224 3336 3936 4448 5699 6672 11398 13344 17097 22796 34194 45592 68388 91184 136776 182368 273552 547104 38608753 77217506 115826259 154435012 231652518 308870024 463305036 617740048 926610072 1235480096 1582958873 1853220144 3165917746 3706440288 4748876619 5366616667 6331835492 9497753238 10733233334 12663670984 16099850001 18995506476 21466466668 25327341968 32199700002 37991012952 42932933336 50654683936 64399400004 75982025904 85865866672 128798800008 151964051808 171731733344 220031283347 257597600016 440062566694 515195200032 660093850041 880125133388 1320187700082 1760250266776 2640375400164 3520500533552 5280750800328 7041001067104 10561501600656 21123003201312