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10220121300 = 2235223264399
BaseRepresentation
bin10011000010010101…
…01010110011010100
3222101020221221210010
421201022222303110
5131412322340200
64410044400220
7511156412004
oct114112526324
928336857703
1010220121300
114374aa0444
121b92846070
13c6b49b16c
146cd4a2004
153ec38e150
hex2612aacd4

10220121300 has 108 divisors (see below), whose sum is σ = 30912257600. Its totient is φ = 2606831040.

The previous prime is 10220121293. The next prime is 10220121311. The reversal of 10220121300 is 312102201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 126501 + ... + 190899.

Almost surely, 210220121300 is an apocalyptic number.

10220121300 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 10220121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15456128800).

10220121300 is an abundant number, since it is smaller than the sum of its proper divisors (20692136300).

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

10220121300 is a wasteful number, since it uses less digits than its factorization.

10220121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64462 (or 64432 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10220121300 its reverse (312102201), we get a palindrome (10532223501).

The spelling of 10220121300 in words is "ten billion, two hundred twenty million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 529 575 690 1058 1150 1380 1587 1725 2116 2300 2645 3174 3450 5290 6348 6900 7935 10580 13225 15870 26450 31740 39675 52900 64399 79350 128798 158700 193197 257596 321995 386394 643990 772788 965985 1287980 1481177 1609975 1931970 2962354 3219950 3863940 4443531 4829925 5924708 6439900 7405885 8887062 9659850 14811770 17774124 19319700 22217655 29623540 34067071 37029425 44435310 68134142 74058850 88870620 102201213 111088275 136268284 148117700 170335355 204402426 222176550 340670710 408804852 444353100 511006065 681341420 851676775 1022012130 1703353550 2044024260 2555030325 3406707100 5110060650 10220121300