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1100445020 = 2251729233479
BaseRepresentation
bin100000110010111…
…0111010101011100
32211200200101202222
41001211313111130
54223203220040
6301110204512
736161425343
oct10145672534
92750611688
101100445020
115151996a4
12268653738
13146ca83cc
14a6216b5a
1566922bb5
hex4197755c

1100445020 has 96 divisors (see below), whose sum is σ = 2547417600. Its totient is φ = 397451264.

The previous prime is 1100445007. The next prime is 1100445023. The reversal of 1100445020 is 205440011.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 1100445020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100445023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2297141 + ... + 2297619.

It is an arithmetic number, because the mean of its divisors is an integer number (26535600).

Almost surely, 21100445020 is an apocalyptic number.

1100445020 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 1100445020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273708800).

1100445020 is an abundant number, since it is smaller than the sum of its proper divisors (1446972580).

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

1100445020 is a wasteful number, since it uses less digits than its factorization.

1100445020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 1100445020 is about 33172.9561540723. The cubic root of 1100445020 is about 1032.4193043536.

Adding to 1100445020 its reverse (205440011), we get a palindrome (1305885031).

The spelling of 1100445020 in words is "one billion, one hundred million, four hundred forty-five thousand, twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 233 290 340 466 479 493 580 932 958 986 1165 1916 1972 2330 2395 2465 3961 4660 4790 4930 6757 7922 8143 9580 9860 13514 13891 15844 16286 19805 27028 27782 32572 33785 39610 40715 55564 67570 69455 79220 81430 111607 114869 135140 138910 162860 223214 229738 236147 277820 446428 459476 472294 558035 574345 944588 1116070 1148690 1180735 1897319 2232140 2297380 2361470 3236603 3794638 4722940 6473206 7589276 9486595 12946412 16183015 18973190 32366030 37946380 55022251 64732060 110044502 220089004 275111255 550222510 1100445020