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21142103402301 = 3747211237742709
BaseRepresentation
bin1001100111010100001111…
…00100000010011100111101
32202212011110112111201101220
410303222013210002130331
510232343011432333201
6112544314225423553
74311316013534310
oct463520744023475
982764415451356
1021142103402301
116811352219382
12245559379abb9
13ba48cbb50bbb
145313d73c6977
15269e4bd09036
hex133a8790273d

21142103402301 has 64 divisors (see below), whose sum is σ = 33072612188160. Its totient is φ = 11762890191360.

The previous prime is 21142103402293. The next prime is 21142103402309. The reversal of 21142103402301 is 10320430124112.

It is an interprime number because it is at equal distance from previous prime (21142103402293) and next prime (21142103402309).

It is not a de Polignac number, because 21142103402301 - 23 = 21142103402293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21142103402309) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 495005535 + ... + 495048243.

It is an arithmetic number, because the mean of its divisors is an integer number (516759565440).

Almost surely, 221142103402301 is an apocalyptic number.

21142103402301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21142103402301 is a deficient number, since it is larger than the sum of its proper divisors (11930508785859).

21142103402301 is a wasteful number, since it uses less digits than its factorization.

21142103402301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45354.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 21142103402301 its reverse (10320430124112), we get a palindrome (31462533526413).

The spelling of 21142103402301 in words is "twenty-one trillion, one hundred forty-two billion, one hundred three million, four hundred two thousand, three hundred one".

Divisors: 1 3 7 21 47 141 211 329 633 987 1477 2377 4431 7131 9917 16639 29751 42709 49917 69419 111719 128127 208257 298963 335157 501547 782033 896889 1504641 2007323 2346099 3510829 6021969 9011599 10532487 14051261 23572709 27034797 42153783 63081193 70718127 101519293 165008963 189243579 304557879 423545153 495026889 710635051 1270635459 2131905153 2964816071 4771406771 8894448213 14314220313 21420570823 33399847397 64261712469 100199542191 149943995761 449831987283 1006766828681 3020300486043 7047367800767 21142103402301