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20061620100 = 223252171311217
BaseRepresentation
bin10010101011110001…
…000000011110000100
31220210010110220010200
4102223301000132010
5312041233320400
613114410050500
71310100646224
oct225361003604
956703426120
1020061620100
118565297125
123a7a719a30
131b793a1132
14d84566084
157c638db00
hex4abc40784

20061620100 has 108 divisors (see below), whose sum is σ = 66581027604. Its totient is φ = 5035069440.

The previous prime is 20061620099. The next prime is 20061620101. The reversal of 20061620100 is 102616002.

It is a happy number.

20061620100 is a `hidden beast` number, since 20 + 0 + 616 + 20 + 10 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20061620099) and next prime (20061620101).

It can be written as a sum of positive squares in 6 ways, for example, as 99321156 + 19962298944 = 9966^2 + 141288^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20061620101) 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, 640309 + ... + 670908.

Almost surely, 220061620100 is an apocalyptic number.

20061620100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20061620100 is an abundant number, since it is smaller than the sum of its proper divisors (46519407504).

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

20061620100 is a wasteful number, since it uses less digits than its factorization.

20061620100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311254 (or 1311244 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The spelling of 20061620100 in words is "twenty billion, sixty-one million, six hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 30 34 36 45 50 51 60 68 75 85 90 100 102 150 153 170 180 204 225 255 300 306 340 425 450 510 612 765 850 900 1020 1275 1530 1700 2550 3060 3825 5100 7650 15300 1311217 2622434 3933651 5244868 6556085 7867302 11800953 13112170 15734604 19668255 22290689 23601906 26224340 32780425 39336510 44581378 47203812 59004765 65560850 66872067 78673020 89162756 98341275 111453445 118009530 131121700 133744134 196682550 200616201 222906890 236019060 267488268 295023825 334360335 393365100 401232402 445813780 557267225 590047650 668720670 802464804 1003081005 1114534450 1180095300 1337441340 1671801675 2006162010 2229068900 3343603350 4012324020 5015405025 6687206700 10030810050 20061620100