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201010110100 = 2252311396832
BaseRepresentation
bin1011101100110100100…
…0101101111010010100
3201012211201222121001121
42323031020231322110
511243132042010400
6232202012133324
720344134513262
oct2731510557224
9635751877047
10201010110100
117827aa6a938
1232b59a67244
1315c55689067
149a2c301432
155366ea121a
hex2ecd22de94

201010110100 has 108 divisors (see below), whose sum is σ = 454166903680. Its totient is φ = 77137473600.

The previous prime is 201010110083. The next prime is 201010110109. The reversal of 201010110100 is 1011010102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201010110109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 294304359 + ... + 294305041.

Almost surely, 2201010110100 is an apocalyptic number.

201010110100 is a gapful number since it is divisible by the number (20) 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 201010110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227083451840).

201010110100 is an abundant number, since it is smaller than the sum of its proper divisors (253156793580).

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

201010110100 is a wasteful number, since it uses less digits than its factorization.

201010110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 201010110100 its reverse (1011010102), we get a palindrome (202021120202).

The spelling of 201010110100 in words is "two hundred one billion, ten million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 139 155 278 310 556 620 683 695 775 1366 1390 1550 2732 2780 3100 3415 3475 4309 6830 6950 8618 13660 13900 17075 17236 21173 21545 34150 42346 43090 68300 84692 86180 94937 105865 107725 189874 211730 215450 379748 423460 430900 466489 474685 529325 932978 949370 1058650 1865956 1898740 2117300 2332445 2373425 2943047 4664890 4746850 5886094 9329780 9493700 11662225 11772188 14461159 14715235 23324450 28922318 29430470 46648900 57844636 58860940 64841971 72305795 73576175 129683942 144611590 147152350 259367884 289223180 294304700 324209855 361528975 648419710 723057950 1296839420 1446115900 1621049275 2010101101 3242098550 4020202202 6484197100 8040404404 10050505505 20101011010 40202022020 50252527525 100505055050 201010110100