Search a number
-
+
100010120000 = 26547357179
BaseRepresentation
bin101110100100100010…
…0010101001101000000
3100120010212200111021112
41131021010111031000
53114310042320000
6113535523542452
710140225664610
oct1351104251500
9316125614245
10100010120000
113946111843a
121747122aa28
13957a943acb
144baa536a40
152905088235
hex1749115340

100010120000 has 140 divisors (see below), whose sum is σ = 283420901280. Its totient is φ = 34289088000.

The previous prime is 100010119999. The next prime is 100010120003. The reversal of 100010120000 is 21010001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (140).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010120003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 101411 + ... + 458589.

Almost surely, 2100010120000 is an apocalyptic number.

100010120000 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 100010120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141710450640).

100010120000 is an abundant number, since it is smaller than the sum of its proper divisors (183410781280).

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

100010120000 is an frugal number, since it uses more digits than its factorization.

100010120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357218 (or 357193 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 100010120000 its reverse (21010001), we get a palindrome (100031130001).

The spelling of 100010120000 in words is "one hundred billion, ten million, one hundred twenty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 625 700 800 875 1000 1120 1250 1400 1600 1750 2000 2240 2500 2800 3500 4000 4375 5000 5600 7000 8000 8750 10000 11200 14000 17500 20000 28000 35000 40000 56000 70000 140000 280000 357179 714358 1428716 1785895 2500253 2857432 3571790 5000506 5714864 7143580 8929475 10001012 11429728 12501265 14287160 17858950 20002024 22859456 25002530 28574320 35717900 40004048 44647375 50005060 57148640 62506325 71435800 80008096 89294750 100010120 114297280 125012650 142871600 160016192 178589500 200020240 223236875 250025300 285743200 312531625 357179000 400040480 446473750 500050600 571486400 625063250 714358000 800080960 892947500 1000101200 1250126500 1428716000 1562658125 1785895000 2000202400 2500253000 2857432000 3125316250 3571790000 4000404800 5000506000 6250632500 7143580000 10001012000 12501265000 14287160000 20002024000 25002530000 50005060000 100010120000