Search a number
-
+
100000010100100 = 225211175347594123
BaseRepresentation
bin10110101111001100010001…
…000101000101110110000100
3111010001220111122022200000111
4112233030101011011312010
5101101400010041200400
6552403212003122404
730030522321036505
oct2657142105056604
9433056448280014
10100000010100100
1129954847785570
12b270809073404
1343a4c64271236
141a9a0522c0bac
15b8636a6173ba
hex5af311145d84

100000010100100 has 72 divisors (see below), whose sum is σ = 250652431780128. Its totient is φ = 34224602380800.

The previous prime is 100000010100071. The next prime is 100000010100143. The reversal of 100000010100100 is 1001010000001.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 100000010100100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2673778362 + ... + 2673815761.

It is an arithmetic number, because the mean of its divisors is an integer number (3481283774724).

Almost surely, 2100000010100100 is an apocalyptic number.

100000010100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100000010100100 is an abundant number, since it is smaller than the sum of its proper divisors (150652421680028).

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

100000010100100 is a wasteful number, since it uses less digits than its factorization.

100000010100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5347594165 (or 5347594158 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 100000010100100 its reverse (1001010000001), we get a palindrome (101001020100101).

The spelling of 100000010100100 in words is "one hundred trillion, ten million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 850 935 1100 1700 1870 3740 4675 9350 18700 5347594123 10695188246 21390376492 26737970615 53475941230 58823535353 90909100091 106951882460 117647070706 133689853075 181818200182 235294141412 267379706150 294117676765 363636400364 454545500455 534759412300 588235353530 909091000910 1000000101001 1176470707060 1470588383825 1818182001820 2000000202002 2272727502275 2941176767650 4000000404004 4545455004550 5000000505005 5882353535300 9090910009100 10000001010010 20000002020020 25000002525025 50000005050050 100000010100100