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22302131133312 = 273219359488831
BaseRepresentation
bin1010001001000100111101…
…00110101001101110000000
32220222001200212100011200100
411010202132212221232000
510410344231032231222
6115233242501522400
74461163412545062
oct504423646515600
986861625304610
1022302131133312
11711930a678118
122602376713400
13c5a10b045624
14571600cc1732
1528a1e26894ac
hex14489e9a9b80

22302131133312 has 48 divisors (see below), whose sum is σ = 64176705478080. Its totient is φ = 7434043710720.

The previous prime is 22302131133307. The next prime is 22302131133397. The reversal of 22302131133312 is 21333113120322.

22302131133312 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 2 + 1 + 311 + 33 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 9679743264 + ... + 9679745567.

It is an arithmetic number, because the mean of its divisors is an integer number (1337014697460).

Almost surely, 222302131133312 is an apocalyptic number.

It is an amenable number.

22302131133312 is an abundant number, since it is smaller than the sum of its proper divisors (41874574344768).

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

22302131133312 is a wasteful number, since it uses less digits than its factorization.

22302131133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19359488851 (or 19359488836 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 22302131133312 its reverse (21333113120322), we get a palindrome (43635244253634).

The spelling of 22302131133312 in words is "twenty-two trillion, three hundred two billion, one hundred thirty-one million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 19359488831 38718977662 58078466493 77437955324 116156932986 154875910648 174235399479 232313865972 309751821296 348470798958 464627731944 619503642592 696941597916 929255463888 1239007285184 1393883195832 1858510927776 2478014570368 2787766391664 3717021855552 5575532783328 7434043711104 11151065566656 22302131133312