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201010220100 = 223252297701541
BaseRepresentation
bin1011101100110100100…
…1001000110001000100
3201012211202012011221200
42323031021020301010
511243132104020400
6232202014342500
720344135452054
oct2731511106104
9635752164850
10201010220100
1178280035548
1232b59abaa30
1315c556c7151
149a2c32d564
155366ec3b00
hex2ecd248c44

201010220100 has 108 divisors (see below), whose sum is σ = 651781499460. Its totient is φ = 51754348800.

The previous prime is 201010220093. The next prime is 201010220137. The reversal of 201010220100 is 1022010102.

It can be written as a sum of positive squares in 6 ways, for example, as 41003820036 + 160006400064 = 202494^2 + 400008^2 .

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

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, 3824671 + ... + 3876870.

Almost surely, 2201010220100 is an apocalyptic number.

201010220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201010220100 is an abundant number, since it is smaller than the sum of its proper divisors (450771279360).

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

201010220100 is a wasteful number, since it uses less digits than its factorization.

201010220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7701590 (or 7701580 counting only the distinct ones).

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

Adding to 201010220100 its reverse (1022010102), we get a palindrome (202032230202).

The spelling of 201010220100 in words is "two hundred one billion, ten million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 29 30 36 45 50 58 60 75 87 90 100 116 145 150 174 180 225 261 290 300 348 435 450 522 580 725 870 900 1044 1305 1450 1740 2175 2610 2900 4350 5220 6525 8700 13050 26100 7701541 15403082 23104623 30806164 38507705 46209246 69313869 77015410 92418492 115523115 138627738 154030820 192538525 223344689 231046230 277255476 346569345 385077050 446689378 462092460 577615575 670034067 693138690 770154100 893378756 1116723445 1155231150 1340068134 1386277380 1732846725 2010102201 2233446890 2310462300 2680136268 3350170335 3465693450 4020204402 4466893780 5583617225 6700340670 6931386900 8040408804 10050511005 11167234450 13400681340 16750851675 20101022010 22334468900 33501703350 40202044020 50252555025 67003406700 100505110050 201010220100