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121102020 = 223351321327
BaseRepresentation
bin1110011011111…
…01111011000100
322102212121202000
413031331323010
5222000231040
620003345300
73000231054
oct715757304
9272777660
10121102020
11623a4816
1234682230
131c121700
1412125564
15a972130
hex737dec4

121102020 has 144 divisors (see below), whose sum is σ = 408280320. Its totient is φ = 29787264.

The previous prime is 121102013. The next prime is 121102021. The reversal of 121102020 is 20201121.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 121101993 and 121102011.

It is not an unprimeable number, because it can be changed into a prime (121102021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90597 + ... + 91923.

It is an arithmetic number, because the mean of its divisors is an integer number (2835280).

Almost surely, 2121102020 is an apocalyptic number.

121102020 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 121102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204140160).

121102020 is an abundant number, since it is smaller than the sum of its proper divisors (287178300).

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

121102020 is a wasteful number, since it uses less digits than its factorization.

121102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 121102020 is about 11004.6362956710. The cubic root of 121102020 is about 494.7477134960.

Adding to 121102020 its reverse (20201121), we get a palindrome (141303141).

The spelling of 121102020 in words is "one hundred twenty-one million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 169 180 195 234 260 270 338 351 390 468 507 540 585 676 702 780 845 1014 1170 1327 1404 1521 1690 1755 2028 2340 2535 2654 3042 3380 3510 3981 4563 5070 5308 6084 6635 7020 7605 7962 9126 10140 11943 13270 15210 15924 17251 18252 19905 22815 23886 26540 30420 34502 35829 39810 45630 47772 51753 59715 69004 71658 79620 86255 91260 103506 119430 143316 155259 172510 179145 207012 224263 238860 258765 310518 345020 358290 448526 465777 517530 621036 672789 716580 776295 897052 931554 1035060 1121315 1345578 1552590 1863108 2018367 2242630 2328885 2691156 3105180 3363945 4036734 4485260 4657770 6055101 6727890 8073468 9315540 10091835 12110202 13455780 20183670 24220404 30275505 40367340 60551010 121102020