Search a number
-
+
1011040032100 = 225272981948437
BaseRepresentation
bin11101011011001101010…
…11101001010101100100
310120122200010012011102211
432231212223221111210
5113031102222011400
62052244304413204
7133021341322360
oct16554653512544
93518603164384
101011040032100
1135a86381646a
12143b43317204
137445759b507
1436d127782a0
151b475ab1dba
hexeb66ae9564

1011040032100 has 72 divisors (see below), whose sum is σ = 2507515133760. Its totient is φ = 346623515520.

The previous prime is 1011040032097. The next prime is 1011040032103. The reversal of 1011040032100 is 12300401101.

It is an interprime number because it is at equal distance from previous prime (1011040032097) and next prime (1011040032103).

It is not an unprimeable number, because it can be changed into a prime (1011040032103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20849082 + ... + 20897518.

It is an arithmetic number, because the mean of its divisors is an integer number (34826599080).

Almost surely, 21011040032100 is an apocalyptic number.

1011040032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011040032100 is an abundant number, since it is smaller than the sum of its proper divisors (1496475101660).

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

1011040032100 is a wasteful number, since it uses less digits than its factorization.

1011040032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78277 (or 78270 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1011040032100 its reverse (12300401101), we get a palindrome (1023340433201).

The spelling of 1011040032100 in words is "one trillion, eleven billion, forty million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 29819 48437 59638 96874 119276 149095 193748 208733 242185 298190 339059 417466 484370 596380 678118 745475 834932 968740 1043665 1210925 1356236 1490950 1695295 2087330 2421850 2981900 3390590 4174660 4843700 5218325 6781180 8476475 10436650 16952950 20873300 33905900 1444342903 2888685806 5777371612 7221714515 10110400321 14443429030 20220800642 28886858060 36108572575 40441601284 50552001605 72217145150 101104003210 144434290300 202208006420 252760008025 505520016050 1011040032100