Search a number
-
+
1000091909100 = 2235229114953093
BaseRepresentation
bin11101000110110100001…
…11110111101111101100
310112121102010100220001210
432203122013313233230
5112341142012042400
62043234052234420
7132153131652414
oct16433207675754
93477363326053
101000091909100
113561558a0629
121419a890ba10
137340133871b
143659472d644
151b03486d950
hexe8da1f7bec

1000091909100 has 72 divisors (see below), whose sum is σ = 2993378567760. Its totient is φ = 257494926080.

The previous prime is 1000091909087. The next prime is 1000091909153. The reversal of 1000091909100 is 19091900001.

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

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, 57467847 + ... + 57485246.

It is an arithmetic number, because the mean of its divisors is an integer number (41574702330).

Almost surely, 21000091909100 is an apocalyptic number.

1000091909100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000091909100 is an abundant number, since it is smaller than the sum of its proper divisors (1993286658660).

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

1000091909100 is a wasteful number, since it uses less digits than its factorization.

1000091909100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114953139 (or 114953132 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 30.

The spelling of 1000091909100 in words is "one trillion, ninety-one million, nine hundred nine thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2900 4350 8700 114953093 229906186 344859279 459812372 574765465 689718558 1149530930 1379437116 1724296395 2299061860 2873827325 3333639697 3448592790 5747654650 6667279394 6897185580 8621481975 10000919091 11495309300 13334558788 16668198485 17242963950 20001838182 33336396970 34485927900 40003676364 50004595455 66672793940 83340992425 100009190910 166681984850 200018381820 250022977275 333363969700 500045954550 1000091909100