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10221002122220 = 2254726363165521
BaseRepresentation
bin1001010010111100001100…
…1100110110001111101100
31100012010012012201021211022
42110233003030312033230
52314430103020402340
633423244043313312
72103304650365321
oct224570314661754
940163165637738
1010221002122220
11329078026751a
121190a94b1b838
13591ab4653446
142749b0636b48
1512ad120d33b5
hex94bc33363ec

10221002122220 has 96 divisors (see below), whose sum is σ = 22039344746496. Its totient is φ = 3979821081600.

The previous prime is 10221002122183. The next prime is 10221002122307. The reversal of 10221002122220 is 2222120012201.

It is a happy number.

It is a super-3 number, since 3×102210021222203 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155963060 + ... + 156028580.

It is an arithmetic number, because the mean of its divisors is an integer number (229576507776).

Almost surely, 210221002122220 is an apocalyptic number.

10221002122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221002122220 is an abundant number, since it is smaller than the sum of its proper divisors (11818342624276).

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

10221002122220 is a wasteful number, since it uses less digits than its factorization.

10221002122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66471 (or 66469 counting only the distinct ones).

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

Adding to 10221002122220 its reverse (2222120012201), we get a palindrome (12443122134421).

The spelling of 10221002122220 in words is "ten trillion, two hundred twenty-one billion, two million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 47 94 188 235 263 470 526 631 940 1052 1262 1315 2524 2630 3155 5260 6310 12361 12620 24722 29657 49444 59314 61805 65521 118628 123610 131042 148285 165953 247220 262084 296570 327605 331906 593140 655210 663812 829765 1310420 1659530 3079487 3319060 6158974 7799791 12317948 15397435 15599582 17232023 30794870 31199164 34464046 38998955 41343751 61589740 68928092 77997910 82687502 86160115 155995820 165375004 172320230 206718755 344640460 413437510 809905081 826875020 1619810162 1943156297 3239620324 3886312594 4049525405 7772625188 8099050810 9715781485 10873406513 16198101620 19431562970 21746813026 38863125940 43493626052 54367032565 108734065130 217468130260 511050106111 1022100212222 2044200424444 2555250530555 5110501061110 10221002122220