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11102930100 = 22325215778577
BaseRepresentation
bin10100101011100100…
…10100010010110100
31001122210010021210100
422111302110102310
5140214322230400
65033422154100
7542066230413
oct122562242264
931583107710
1011102930100
114788350799
12219a422930
13107c355a32
1477482547a
1544eb22100
hex295c944b4

11102930100 has 108 divisors (see below), whose sum is σ = 35023629004. Its totient is φ = 2941885440.

The previous prime is 11102930071. The next prime is 11102930107. The reversal of 11102930100 is 103920111.

It can be written as a sum of positive squares in 6 ways, for example, as 11048976 + 11091881124 = 3324^2 + 105318^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102930107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 102012 + ... + 180588.

Almost surely, 211102930100 is an apocalyptic number.

11102930100 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 11102930100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17511814502).

11102930100 is an abundant number, since it is smaller than the sum of its proper divisors (23920698904).

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

11102930100 is a wasteful number, since it uses less digits than its factorization.

11102930100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78754 (or 78744 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The spelling of 11102930100 in words is "eleven billion, one hundred two million, nine hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 157 180 225 300 314 450 471 628 785 900 942 1413 1570 1884 2355 2826 3140 3925 4710 5652 7065 7850 9420 11775 14130 15700 23550 28260 35325 47100 70650 78577 141300 157154 235731 314308 392885 471462 707193 785770 942924 1178655 1414386 1571540 1964425 2357310 2828772 3535965 3928850 4714620 5893275 7071930 7857700 11786550 12336589 14143860 17679825 23573100 24673178 35359650 37009767 49346356 61682945 70719300 74019534 111029301 123365890 148039068 185048835 222058602 246731780 308414725 370097670 444117204 555146505 616829450 740195340 925244175 1110293010 1233658900 1850488350 2220586020 2775732525 3700976700 5551465050 11102930100