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103132021120 = 2751011595483
BaseRepresentation
bin110000000001100100…
…1011100000110000000
3100212012110002111111221
41200003021130012000
53142203244133440
6115213405044424
710310464500262
oct1400311340600
9325173074457
10103132021120
113a813378a07
1217ba2856714
13995766968b
144dc4dd1b32
152a391aad4a
hex180325c180

103132021120 has 64 divisors (see below), whose sum is σ = 248991233040. Its totient is φ = 40844339200.

The previous prime is 103132021051. The next prime is 103132021129. The reversal of 103132021120 is 21120231301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1031320211202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 103132021094 and 103132021103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103132021129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 733102 + ... + 862381.

Almost surely, 2103132021120 is an apocalyptic number.

103132021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103132021120 is an abundant number, since it is smaller than the sum of its proper divisors (145859211920).

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

103132021120 is a wasteful number, since it uses less digits than its factorization.

103132021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595603 (or 1595591 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 103132021120 its reverse (21120231301), we get a palindrome (124252252421).

The spelling of 103132021120 in words is "one hundred three billion, one hundred thirty-two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 320 404 505 640 808 1010 1616 2020 3232 4040 6464 8080 12928 16160 32320 64640 1595483 3190966 6381932 7977415 12763864 15954830 25527728 31909660 51055456 63819320 102110912 127638640 161143783 204221824 255277280 322287566 510554560 644575132 805718915 1021109120 1289150264 1611437830 2578300528 3222875660 5156601056 6445751320 10313202112 12891502640 20626404224 25783005280 51566010560 103132021120