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10100786020 = 2251342979041
BaseRepresentation
bin10010110100000110…
…11100001101100100
3222001221102002112221
421122003130031210
5131141300123040
64350142522124
7505210156513
oct113203341544
928057362487
1010100786020
1143136a3046
121b5a896344
13c4c847980
146bb6ba67a
153e1b6a74a
hex25a0dc364

10100786020 has 48 divisors (see below), whose sum is σ = 22851159408. Its totient is φ = 3728240640.

The previous prime is 10100786009. The next prime is 10100786021. The reversal of 10100786020 is 2068700101.

It can be written as a sum of positive squares in 8 ways, for example, as 105185536 + 9995600484 = 10256^2 + 99978^2 .

It is not an unprimeable number, because it can be changed into a prime (10100786021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1112700 + ... + 1121740.

It is an arithmetic number, because the mean of its divisors is an integer number (476065821).

Almost surely, 210100786020 is an apocalyptic number.

10100786020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100786020 is an abundant number, since it is smaller than the sum of its proper divisors (12750373388).

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

10100786020 is a wasteful number, since it uses less digits than its factorization.

10100786020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13360 (or 13358 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The spelling of 10100786020 in words is "ten billion, one hundred million, seven hundred eighty-six thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 4297 8594 9041 17188 18082 21485 36164 42970 45205 55861 85940 90410 111722 117533 180820 223444 235066 279305 470132 558610 587665 1117220 1175330 2350660 38849177 77698354 155396708 194245885 388491770 505039301 776983540 1010078602 2020157204 2525196505 5050393010 10100786020