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21320323102122 = 2311173371777057
BaseRepresentation
bin1001101100100000001100…
…10010001111010110101010
32210111012110222022111220220
410312100012102033112222
510243303010203231442
6113202230552230510
74330225324146012
oct466200622172652
983435428274826
1021320323102122
11687a9976316a0
12248403109b436
13bb86619b1c95
14539ca2996c42
1526e8cd09aeec
hex13640648f5aa

21320323102122 has 128 divisors (see below), whose sum is σ = 50759600382720. Its totient is φ = 5916316999680.

The previous prime is 21320323102109. The next prime is 21320323102129. The reversal of 21320323102122 is 22120132302312.

It is a super-2 number, since 2×213203231021222 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21320323102092 and 21320323102101.

It is not an unprimeable number, because it can be changed into a prime (21320323102129) 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, 11109018 + ... + 12886074.

It is an arithmetic number, because the mean of its divisors is an integer number (396559377990).

Almost surely, 221320323102122 is an apocalyptic number.

21320323102122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21320323102122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25379800191360).

21320323102122 is an abundant number, since it is smaller than the sum of its proper divisors (29439277280598).

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

21320323102122 is a wasteful number, since it uses less digits than its factorization.

21320323102122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777161 (or 1777127 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 21320323102122 its reverse (22120132302312), we get a palindrome (43440455404434).

The spelling of 21320323102122 in words is "twenty-one trillion, three hundred twenty billion, three hundred twenty-three million, one hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 17 22 33 34 37 51 66 74 102 111 187 222 289 374 407 561 578 629 814 867 1122 1221 1258 1734 1887 2442 3179 3774 4913 6358 6919 9537 9826 10693 13838 14739 19074 20757 21386 29478 32079 41514 54043 64158 108086 117623 162129 181781 235246 324258 352869 363562 545343 705738 1090686 1777057 1999591 3554114 3999182 5331171 5998773 10662342 11997546 19547627 30209969 39095254 58642881 60419938 65751109 90629907 117285762 131502218 181259814 197253327 332309659 394506654 513569473 664619318 723262199 996928977 1027138946 1117768853 1446524398 1540708419 1993857954 2169786597 2235537706 3081416838 3353306559 4339573194 5649264203 6706613118 8730681041 11298528406 12295457383 16947792609 17461362082 19002070501 24590914766 26192043123 33895585218 36886372149 38004141002 52384086246 57006211503 73772744298 96037491451 114012423006 192074982902 209022775511 288112474353 323035198517 418045551022 576224948706 627068326533 646070397034 969105595551 1254136653066 1938211191102 3553387183687 7106774367374 10660161551061 21320323102122