Search a number
-
+
100010111000 = 2353412719001
BaseRepresentation
bin101110100100100010…
…0010011000000011000
3100120010212200000221012
41131021010103000120
53114310042023000
6113535523433052
710140225626432
oct1351104230030
9316125600835
10100010111000
11394611116a8
1217471225788
13957a93c997
144baa533652
152905085735
hex1749113018

100010111000 has 128 divisors (see below), whose sum is σ = 240642904320. Its totient is φ = 38880000000.

The previous prime is 100010110961. The next prime is 100010111029. The reversal of 100010111000 is 111010001.

Adding to 100010111000 its reverse (111010001), we get a palindrome (100121121001).

It can be divided in two parts, 1000101 and 11000, that added together give a palindrome (1011101).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent 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, 11106500 + ... + 11115500.

It is an arithmetic number, because the mean of its divisors is an integer number (1880022690).

Almost surely, 2100010111000 is an apocalyptic number.

100010111000 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 100010111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120321452160).

100010111000 is an abundant number, since it is smaller than the sum of its proper divisors (140632793320).

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

100010111000 is a wasteful number, since it uses less digits than its factorization.

100010111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9334 (or 9320 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

The spelling of 100010111000 in words is "one hundred billion, ten million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 271 328 410 500 542 820 1000 1025 1084 1355 1640 2050 2168 2710 4100 5125 5420 6775 8200 9001 10250 10840 11111 13550 18002 20500 22222 27100 33875 36004 41000 44444 45005 54200 55555 67750 72008 88888 90010 111110 135500 180020 222220 225025 271000 277775 360040 369041 444440 450050 555550 738082 900100 1111100 1125125 1388875 1476164 1800200 1845205 2222200 2250250 2439271 2777750 2952328 3690410 4500500 4878542 5555500 7380820 9001000 9226025 9757084 11111000 12196355 14761640 18452050 19514168 24392710 36904100 46130125 48785420 60981775 73808200 92260250 97570840 100010111 121963550 184520500 200020222 243927100 304908875 369041000 400040444 487854200 500050555 609817750 800080888 1000101110 1219635500 2000202220 2439271000 2500252775 4000404440 5000505550 10001011100 12501263875 20002022200 25002527750 50005055500 100010111000