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120220021010100 = 223521198833686159
BaseRepresentation
bin11011010101011011100111…
…101001011010111010110100
3120202122220212222010102010110
4123111123213221122322310
5111224141100334310400
61103404152030423020
734215416123002044
oct3325334751327264
9522586788112113
10120220021010100
113534002a804650
1211597541961a70
13521091259b88b
142198974145724
15dd72ea5e5e50
hex6d56e7a5aeb4

120220021010100 has 144 divisors (see below), whose sum is σ = 379496600663040. Its totient is φ = 29141290684800.

The previous prime is 120220021010081. The next prime is 120220021010149. The reversal of 120220021010100 is 1010120022021.

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 47 ways as a sum of consecutive naturals, for example, 30770821 + ... + 34456979.

It is an arithmetic number, because the mean of its divisors is an integer number (2635393060160).

Almost surely, 2120220021010100 is an apocalyptic number.

120220021010100 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 120220021010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189748300331520).

120220021010100 is an abundant number, since it is smaller than the sum of its proper divisors (259276579652940).

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

120220021010100 is a wasteful number, since it uses less digits than its factorization.

120220021010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3696070 (or 3696063 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120220021010100 its reverse (1010120022021), we get a palindrome (121230141032121).

The spelling of 120220021010100 in words is "one hundred twenty trillion, two hundred twenty billion, twenty-one million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 9883 19766 29649 39532 49415 59298 98830 108713 118596 148245 197660 217426 247075 296490 326139 434852 494150 543565 592980 652278 741225 988300 1087130 1304556 1482450 1630695 2174260 2717825 2964900 3261390 3686159 5435650 6522780 7372318 8153475 10871300 11058477 14744636 16306950 18430795 22116954 32613900 36861590 40547749 44233908 55292385 73723180 81095498 92153975 110584770 121643247 162190996 184307950 202738745 221169540 243286494 276461925 368615900 405477490 486572988 552923850 608216235 810954980 1013693725 1105847700 1216432470 2027387450 2432864940 3041081175 4054774900 6082162350 12164324700 36430309397 72860618794 109290928191 145721237588 182151546985 218581856382 364303093970 400733403367 437163712764 546454640955 728606187940 801466806734 910757734925 1092909281910 1202200210101 1602933613468 1821515469850 2003667016835 2185818563820 2404400420202 2732273204775 3643030939700 4007334033670 4808800840404 5464546409550 6011001050505 8014668067340 10018335084175 10929092819100 12022002101010 20036670168350 24044004202020 30055005252525 40073340336700 60110010505050 120220021010100