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20100223021120 = 2651110156537531
BaseRepresentation
bin1001001000111111100101…
…01001110011000001000000
32122011120012002202111100221
410210133302221303001000
510113310224043133440
6110425525345152424
74143123156445504
oct444376251630100
978146162674327
1020100223021120
11644a50297a210
12230768402b714
13b2a59b07b028
144d6bdab74304
1524ccbd975d4a
hex1247f2a73040

20100223021120 has 112 divisors (see below), whose sum is σ = 52731877646016. Its totient is φ = 7236803840000.

The previous prime is 20100223021103. The next prime is 20100223021141. The reversal of 20100223021120 is 2112032200102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20100223021094 and 20100223021103.

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, 27913246 + ... + 28624285.

Almost surely, 220100223021120 is an apocalyptic number.

20100223021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100223021120 is an abundant number, since it is smaller than the sum of its proper divisors (32631654624896).

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

20100223021120 is a wasteful number, since it uses less digits than its factorization.

20100223021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56537660 (or 56537650 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20100223021120 its reverse (2112032200102), we get a palindrome (22212255221222).

The spelling of 20100223021120 in words is "twenty trillion, one hundred billion, two hundred twenty-three million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 101 110 160 176 202 220 320 352 404 440 505 704 808 880 1010 1111 1616 1760 2020 2222 3232 3520 4040 4444 5555 6464 8080 8888 11110 16160 17776 22220 32320 35552 44440 71104 88880 177760 355520 56537531 113075062 226150124 282687655 452300248 565375310 621912841 904600496 1130750620 1243825682 1809200992 2261501240 2487651364 3109564205 3618401984 4523002480 4975302728 5710290631 6219128410 9046004960 9950605456 11420581262 12438256820 18092009920 19901210912 22841162524 24876513640 28551453155 39802421824 45682325048 49753027280 57102906310 62813196941 91364650096 99506054560 114205812620 125626393882 182729300192 199012109120 228411625240 251252787764 314065984705 365458600384 456823250480 502505575528 628131969410 913646500960 1005011151056 1256263938820 1827293001920 2010022302112 2512527877640 4020044604224 5025055755280 10050111510560 20100223021120