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138783100 = 22528531627
BaseRepresentation
bin10000100010110…
…10100101111100
3100200010220121211
420101122211330
5241012024400
621434334204
73303431311
oct1021324574
9320126554
10138783100
1171380885
123a58a364
13229a24a1
1414608d08
15c2b5dba
hex845a97c

138783100 has 36 divisors (see below), whose sum is σ = 301697704. Its totient is φ = 55414080.

The previous prime is 138783091. The next prime is 138783109. The reversal of 138783100 is 1387831.

It is an interprime number because it is at equal distance from previous prime (138783091) and next prime (138783109).

It is a super-2 number, since 2×1387831002 = 38521497691220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138783109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84487 + ... + 86113.

Almost surely, 2138783100 is an apocalyptic number.

138783100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138783100 is an abundant number, since it is smaller than the sum of its proper divisors (162914604).

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

138783100 is a wasteful number, since it uses less digits than its factorization.

138783100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 138783100 is about 11780.6239223566. The cubic root of 138783100 is about 517.7405666588.

Multiplying 138783100 by its reverse (1387831), we get a square (192607488456100 = 138783102).

138783100 divided by its reverse (1387831) gives a square (100 = 102).

The spelling of 138783100 in words is "one hundred thirty-eight million, seven hundred eighty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 853 1627 1706 3254 3412 4265 6508 8135 8530 16270 17060 21325 32540 40675 42650 81350 85300 162700 1387831 2775662 5551324 6939155 13878310 27756620 34695775 69391550 138783100