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1102122100 = 2252101109121
BaseRepresentation
bin100000110110001…
…0000110001110100
32211210211121022001
41001230100301310
54224120401400
6301210145044
736211611652
oct10154206164
92753747261
101102122100
11516134712
12269122184
13147444871
14a6531dd2
1566b54a6a
hex41b10c74

1102122100 has 36 divisors (see below), whose sum is σ = 2415306348. Its totient is φ = 436480000.

The previous prime is 1102122089. The next prime is 1102122103. The reversal of 1102122100 is 12212011.

It can be written as a sum of positive squares in 6 ways, for example, as 1607824 + 1100514276 = 1268^2 + 33174^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102122103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44461 + ... + 64660.

It is an arithmetic number, because the mean of its divisors is an integer number (67091843).

Almost surely, 21102122100 is an apocalyptic number.

1102122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1102122100 is an abundant number, since it is smaller than the sum of its proper divisors (1313184248).

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

1102122100 is a wasteful number, since it uses less digits than its factorization.

1102122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109236 (or 109229 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1102122100 is about 33198.2243501064. The cubic root of 1102122100 is about 1032.9435077143.

Adding to 1102122100 its reverse (12212011), we get a palindrome (1114334111).

The spelling of 1102122100 in words is "one billion, one hundred two million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 109121 218242 436484 545605 1091210 2182420 2728025 5456050 10912100 11021221 22042442 44084884 55106105 110212210 220424420 275530525 551061050 1102122100