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20102506020 = 2233543865741
BaseRepresentation
bin10010101110001100…
…111110011000100100
31220212222102010002000
4102232030332120210
5312132220143040
613122430245300
71311105324162
oct225614763044
956788363060
1020102506020
118586382343
123a90356830
131b849b7c9c
14d89b6a232
157c9c68130
hex4ae33e624

20102506020 has 96 divisors (see below), whose sum is σ = 63995648640. Its totient is φ = 5235995520.

The previous prime is 20102505991. The next prime is 20102506033. The reversal of 20102506020 is 2060520102.

20102506020 is a `hidden beast` number, since 2 + 0 + 10 + 2 + 50 + 602 + 0 = 666.

It is a super-2 number, since 2×201025060202 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20102505984 and 20102506002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409651 + ... + 456090.

It is an arithmetic number, because the mean of its divisors is an integer number (666621340).

Almost surely, 220102506020 is an apocalyptic number.

20102506020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102506020 is an abundant number, since it is smaller than the sum of its proper divisors (43893142620).

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

20102506020 is a wasteful number, since it uses less digits than its factorization.

20102506020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865802 (or 865794 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The spelling of 20102506020 in words is "twenty billion, one hundred two million, five hundred six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 86 90 108 129 135 172 180 215 258 270 387 430 516 540 645 774 860 1161 1290 1548 1935 2322 2580 3870 4644 5805 7740 11610 23220 865741 1731482 2597223 3462964 4328705 5194446 7791669 8657410 10388892 12986115 15583338 17314820 23375007 25972230 31166676 37226863 38958345 46750014 51944460 74453726 77916690 93500028 111680589 116875035 148907452 155833380 186134315 223361178 233750070 335041767 372268630 446722356 467500140 558402945 670083534 744537260 1005125301 1116805890 1340167068 1675208835 2010250602 2233611780 3350417670 4020501204 5025626505 6700835340 10051253010 20102506020