Search a number
-
+
1010500105980 = 223553591314263
BaseRepresentation
bin11101011010001100111…
…11111111011011111100
310120121021111020002001010
432231012133333123330
5113024001011342410
62052114540115220
7133002064115631
oct16550637773374
93517244202033
101010500105980
1135a606a69a32
12143a12535b10
137439c7773c1
1436ca0b8c188
151b4434adc20
hexeb467ff6fc

1010500105980 has 48 divisors (see below), whose sum is σ = 2829462096384. Its totient is φ = 269460809280.

The previous prime is 1010500105963. The next prime is 1010500106027. The reversal of 1010500105980 is 895010050101.

It is a super-2 number, since 2×10105001059802 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3058329 + ... + 3372591.

It is an arithmetic number, because the mean of its divisors is an integer number (58947127008).

Almost surely, 21010500105980 is an apocalyptic number.

1010500105980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010500105980 is an abundant number, since it is smaller than the sum of its proper divisors (1818961990404).

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

1010500105980 is a wasteful number, since it uses less digits than its factorization.

1010500105980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367866 (or 367864 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 30.

The spelling of 1010500105980 in words is "one trillion, ten billion, five hundred million, one hundred five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 53591 107182 160773 214364 267955 314263 321546 535910 628526 643092 803865 942789 1071820 1257052 1571315 1607730 1885578 3142630 3215460 3771156 4713945 6285260 9427890 18855780 16841668433 33683336866 50525005299 67366673732 84208342165 101050010598 168416684330 202100021196 252625026495 336833368660 505250052990 1010500105980