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10018182020 = 22571124126993
BaseRepresentation
bin10010101010010000…
…10101001110000100
3221212011222101011112
421111020111032010
5131004123311040
64334032224152
7503155066520
oct112510251604
927764871145
1010018182020
114281003480
121b3709b058
13c386b5272
146b0736d80
153d97a0365
hex255215384

10018182020 has 96 divisors (see below), whose sum is σ = 26339233536. Its totient is φ = 3109478400.

The previous prime is 10018182017. The next prime is 10018182071. The reversal of 10018182020 is 2028181001.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357644 + ... + 384636.

It is an arithmetic number, because the mean of its divisors is an integer number (274367016).

Almost surely, 210018182020 is an apocalyptic number.

10018182020 is a gapful number since it is divisible by the number (10) 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 10018182020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13169616768).

10018182020 is an abundant number, since it is smaller than the sum of its proper divisors (16321051516).

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

10018182020 is a wasteful number, since it uses less digits than its factorization.

10018182020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27261 (or 27259 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 23.

The spelling of 10018182020 in words is "ten billion, eighteen million, one hundred eighty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 241 308 385 482 770 964 1205 1540 1687 2410 2651 3374 4820 5302 6748 8435 10604 13255 16870 18557 26510 26993 33740 37114 53020 53986 74228 92785 107972 134965 185570 188951 269930 296923 371140 377902 539860 593846 755804 944755 1187692 1484615 1889510 2078461 2969230 3779020 4156922 5938460 6505313 8313844 10392305 13010626 20784610 26021252 32526565 41569220 45537191 65053130 71558443 91074382 130106260 143116886 182148764 227685955 286233772 357792215 455371910 500909101 715584430 910743820 1001818202 1431168860 2003636404 2504545505 5009091010 10018182020