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10221100120 = 2357211474077
BaseRepresentation
bin10011000010011100…
…11001110001011000
3222101022210200110201
421201032121301120
5131413100200440
64410121351544
7511200626500
oct114116316130
928338720421
1010221100120
1143755a9890
121b930385b4
13c6b75184a
146cd678a00
153ec4d419a
hex261399c58

10221100120 has 96 divisors (see below), whose sum is σ = 29184241680. Its totient is φ = 3185790720.

The previous prime is 10221100093. The next prime is 10221100121. The reversal of 10221100120 is 2100112201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10221100097 and 10221100106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221100121) 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, 215479 + ... + 258598.

Almost surely, 210221100120 is an apocalyptic number.

10221100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221100120 is an abundant number, since it is smaller than the sum of its proper divisors (18963141560).

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

10221100120 is a wasteful number, since it uses less digits than its factorization.

10221100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474113 (or 474102 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10221100120 its reverse (2100112201), we get a palindrome (12321212321).

The spelling of 10221100120 in words is "ten billion, two hundred twenty-one million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 140 154 196 220 245 280 308 385 392 440 490 539 616 770 980 1078 1540 1960 2156 2695 3080 4312 5390 10780 21560 474077 948154 1896308 2370385 3318539 3792616 4740770 5214847 6637078 9481540 10429694 13274156 16592695 18963080 20859388 23229773 26074235 26548312 33185390 36503929 41718776 46459546 52148470 66370780 73007858 92919092 104296940 116148865 132741560 146015716 182519645 185838184 208593880 232297730 255527503 292031432 365039290 464595460 511055006 730078580 929190920 1022110012 1277637515 1460157160 2044220024 2555275030 5110550060 10221100120