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11032010000 = 245411100291
BaseRepresentation
bin10100100011000111…
…10001110100010000
31001110211200011200222
422101203301310100
5140043143310000
65022410132212
7540245352314
oct122143616420
931424604628
1011032010000
114751311440
12217a721068
13106a75448b
14769243b44
154487b3a85
hex2918f1d10

11032010000 has 100 divisors (see below), whose sum is σ = 29138035344. Its totient is φ = 4011600000.

The previous prime is 11032009949. The next prime is 11032010029. The reversal of 11032010000 is 1023011.

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 (8).

It is a self number, because there is not a number n which added to its sum of digits gives 11032010000.

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, 59855 + ... + 160145.

Almost surely, 211032010000 is an apocalyptic number.

11032010000 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 11032010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14569017672).

11032010000 is an abundant number, since it is smaller than the sum of its proper divisors (18106025344).

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

11032010000 is a wasteful number, since it uses less digits than its factorization.

11032010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100330 (or 100309 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 11032010000 its reverse (1023011), we get a palindrome (11033033011).

The spelling of 11032010000 in words is "eleven billion, thirty-two million, ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 100291 110000 200582 401164 501455 802328 1002910 1103201 1604656 2005820 2206402 2507275 4011640 4412804 5014550 5516005 8023280 8825608 10029100 11032010 12536375 17651216 20058200 22064020 25072750 27580025 40116400 44128040 50145500 55160050 62681875 88256080 100291000 110320100 125363750 137900125 200582000 220640200 250727500 275800250 441280400 501455000 551600500 689500625 1002910000 1103201000 1379001250 2206402000 2758002500 5516005000 11032010000