Search a number
-
+
10100010000 = 24354336667
BaseRepresentation
bin10010110100000000…
…11110110000010000
3222001212221200001110
421122000132300100
5131141100310000
64350114133320
7505200445203
oct113200366020
928055850043
1010100010000
114313213003
121b5a581240
13c4c6356a2
146bb55793a
153e1a65850
hex25a01ec10

10100010000 has 100 divisors (see below), whose sum is σ = 32604275792. Its totient is φ = 2693328000.

The previous prime is 10100009993. The next prime is 10100010013. The reversal of 10100010000 is 1000101.

Adding to 10100010000 its reverse (1000101), we get a palindrome (10101010101).

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 138334 + ... + 198333.

Almost surely, 210100010000 is an apocalyptic number.

10100010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100010000 is an abundant number, since it is smaller than the sum of its proper divisors (22504265792).

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

10100010000 is an equidigital number, since it uses as much as digits as its factorization.

10100010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336698 (or 336677 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

The spelling of 10100010000 in words is "ten billion, one hundred million, ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 336667 673334 1010001 1346668 1683335 2020002 2693336 3366670 4040004 5050005 5386672 6733340 8080008 8416675 10100010 13466680 16160016 16833350 20200020 25250025 26933360 33666700 40400040 42083375 50500050 67333400 80800080 84166750 101000100 126250125 134666800 168333500 202000200 210416875 252500250 336667000 404000400 420833750 505000500 631250625 673334000 841667500 1010001000 1262501250 1683335000 2020002000 2525002500 3366670000 5050005000 10100010000