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10022012221220 = 2251722551679699
BaseRepresentation
bin1001000111010110111001…
…1110100111011100100100
31022111002120021002221122222
42101311232132213130210
52303200040112034340
633152014315211512
72053031543213336
oct221655636473444
938432507087588
1010022012221220
11321434769768a
12115a3bb746b98
135790c16990ac
142690d4771456
15125a676878b5
hex91d6e7a7724

10022012221220 has 72 divisors (see below), whose sum is σ = 22365860193600. Its totient is φ = 3771508262400.

The previous prime is 10022012221219. The next prime is 10022012221223. The reversal of 10022012221220 is 2212221022001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (10022012221223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14404931 + ... + 15084629.

Almost surely, 210022012221220 is an apocalyptic number.

10022012221220 is a gapful number since it is divisible by the number (10) 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 10022012221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11182930096800).

10022012221220 is an abundant number, since it is smaller than the sum of its proper divisors (12343847972380).

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

10022012221220 is a wasteful number, since it uses less digits than its factorization.

10022012221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682293 (or 682274 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10022012221220 its reverse (2212221022001), we get a palindrome (12234233243221).

The spelling of 10022012221220 in words is "ten trillion, twenty-two billion, twelve million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2551 2890 5102 5780 10204 12755 25510 43367 51020 86734 173468 216835 433670 679699 737239 867340 1359398 1474478 2718796 2948956 3398495 3686195 6796990 7372390 11554883 13593980 14744780 23109766 46219532 57774415 115548830 196433011 231097660 392866022 785732044 982165055 1733912149 1964330110 3467824298 3928660220 6935648596 8669560745 17339121490 29476506533 34678242980 58953013066 117906026132 147382532665 294765065330 501100611061 589530130660 1002201222122 2004402444244 2505503055305 5011006110610 10022012221220