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102022221223120 = 24511127912868837
BaseRepresentation
bin10111001100100111100110…
…010000010101010011010000
3111101020020012000022110210111
4113030213212100111103100
5101333013002113114440
61000552210021411104
730326601515005342
oct2714474620252320
9441206160273714
10102022221223120
112a564421191870
12b53870b569a94
1344c0867307643
141b29c8a98b292
15bbdc735284ea
hex5cc9e64154d0

102022221223120 has 80 divisors (see below), whose sum is σ = 260802975541248. Its totient is φ = 36806871467520.

The previous prime is 102022221223099. The next prime is 102022221223121. The reversal of 102022221223120 is 21322122220201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 102022221223091 and 102022221223100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022221223121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 456322659 + ... + 456546178.

Almost surely, 2102022221223120 is an apocalyptic number.

102022221223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022221223120 is an abundant number, since it is smaller than the sum of its proper divisors (158780754318128).

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

102022221223120 is a wasteful number, since it uses less digits than its factorization.

102022221223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912868988 (or 912868982 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 102022221223120 its reverse (21322122220201), we get a palindrome (123344343443321).

The spelling of 102022221223120 in words is "one hundred two trillion, twenty-two billion, two hundred twenty-one million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 127 176 220 254 440 508 635 880 1016 1270 1397 2032 2540 2794 5080 5588 6985 10160 11176 13970 22352 27940 55880 111760 912868837 1825737674 3651475348 4564344185 7302950696 9128688370 10041557207 14605901392 18257376740 20083114414 36514753480 40166228828 50207786035 73029506960 80332457656 100415572070 115934342299 160664915312 200831144140 231868684598 401662288280 463737369196 579671711495 803324576560 927474738392 1159343422990 1275277765289 1854949476784 2318686845980 2550555530578 4637373691960 5101111061156 6376388826445 9274747383920 10202222122312 12752777652890 20404444244624 25505555305780 51011110611560 102022221223120