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11031002100 = 22325261200929
BaseRepresentation
bin10100100010111111…
…11011101111110100
31001110202202222010100
422101133323233310
5140042414031400
65022332354100
7540233653656
oct122137735764
931422688110
1011031002100
114750793168
12217a315930
13106a4907a1
147690606d6
15448665100
hex2917fbbf4

11031002100 has 108 divisors (see below), whose sum is σ = 35143058860. Its totient is φ = 2893363200.

The previous prime is 11031002093. The next prime is 11031002111. The reversal of 11031002100 is 120013011.

It can be written as a sum of positive squares in 6 ways, for example, as 78960996 + 10952041104 = 8886^2 + 104652^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45565 + ... + 155364.

Almost surely, 211031002100 is an apocalyptic number.

11031002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11031002100 is an abundant number, since it is smaller than the sum of its proper divisors (24112056760).

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

11031002100 is a wasteful number, since it uses less digits than its factorization.

11031002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201010 (or 201000 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11031002100 its reverse (120013011), we get a palindrome (11151015111).

The spelling of 11031002100 in words is "eleven billion, thirty-one million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 61 75 90 100 122 150 180 183 225 244 300 305 366 450 549 610 732 900 915 1098 1220 1525 1830 2196 2745 3050 3660 4575 5490 6100 9150 10980 13725 18300 27450 54900 200929 401858 602787 803716 1004645 1205574 1808361 2009290 2411148 3013935 3616722 4018580 5023225 6027870 7233444 9041805 10046450 12055740 12256669 15069675 18083610 20092900 24513338 30139350 36167220 36770007 45209025 49026676 60278700 61283345 73540014 90418050 110310021 122566690 147080028 180836100 183850035 220620042 245133380 306416725 367700070 441240084 551550105 612833450 735400140 919250175 1103100210 1225666900 1838500350 2206200420 2757750525 3677000700 5515501050 11031002100