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21320103101120 = 265599479119131
BaseRepresentation
bin1001101100011111110010…
…01011000000001011000000
32210111011220122100022021122
410312033321023000023000
510243302032343213440
6113202153053011412
74330220013156455
oct466177113001300
983434818308248
1021320103101120
11687a89442868a
122483b8b483b68
13bb8628243c85
14539c8168982c
1526e8b8ae07b5
hex1363f92c02c0

21320103101120 has 112 divisors (see below), whose sum is σ = 51634858579200. Its totient is φ = 8382543375360.

The previous prime is 21320103101111. The next prime is 21320103101153. The reversal of 21320103101120 is 2110130102312.

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 15 ways as a sum of consecutive naturals, for example, 178903955 + ... + 179023085.

Almost surely, 221320103101120 is an apocalyptic number.

21320103101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21320103101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25817429289600).

21320103101120 is an abundant number, since it is smaller than the sum of its proper divisors (30314755478080).

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

21320103101120 is a wasteful number, since it uses less digits than its factorization.

21320103101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128686 (or 128676 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 21320103101120 its reverse (2110130102312), we get a palindrome (23430233203432).

The spelling of 21320103101120 in words is "twenty-one trillion, three hundred twenty billion, one hundred three million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 160 236 295 320 472 590 944 1180 1888 2360 3776 4720 9440 9479 18880 18958 37916 47395 75832 94790 119131 151664 189580 238262 303328 379160 476524 559261 595655 606656 758320 953048 1118522 1191310 1516640 1906096 2237044 2382620 2796305 3033280 3812192 4474088 4765240 5592610 7028729 7624384 8948176 9530480 11185220 14057458 17896352 19060960 22370440 28114916 35143645 35792704 38121920 44740880 56229832 70287290 89481760 112459664 140574580 178963520 224919328 281149160 449838656 562298320 1124596640 1129242749 2249193280 2258485498 4516970996 5646213745 9033941992 11292427490 18067883984 22584854980 36135767968 45169709960 66625322191 72271535936 90339419920 133250644382 180678839840 266501288764 333126610955 361357679680 533002577528 666253221910 1066005155056 1332506443820 2132010310112 2665012887640 4264020620224 5330025775280 10660051550560 21320103101120