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103034432000 = 29531609913
BaseRepresentation
bin101111111110101010…
…1001010101000000000
3100211221122110110102002
41133331111022220000
53142003303311000
6115200001243132
710305201136013
oct1377525125000
9324848413362
10103034432000
113a773283845
1217b760334a8
13994038b336
144db606b37a
152a308308d5
hex17fd54aa00

103034432000 has 80 divisors (see below), whose sum is σ = 256922955432. Its totient is φ = 41213747200.

The previous prime is 103034431967. The next prime is 103034432063. The reversal of 103034432000 is 234430301.

It can be written as a sum of positive squares in 4 ways, for example, as 64386017536 + 38648414464 = 253744^2 + 196592^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 740957 + ... + 868956.

Almost surely, 2103034432000 is an apocalyptic number.

103034432000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103034432000 is an abundant number, since it is smaller than the sum of its proper divisors (153888523432).

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

103034432000 is an frugal number, since it uses more digits than its factorization.

103034432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609946 (or 1609920 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 103034432000 its reverse (234430301), we get a palindrome (103268862301).

The spelling of 103034432000 in words is "one hundred three billion, thirty-four million, four hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1280 1600 2000 2560 3200 4000 6400 8000 12800 16000 32000 64000 1609913 3219826 6439652 8049565 12879304 16099130 25758608 32198260 40247825 51517216 64396520 80495650 103034432 128793040 160991300 201239125 206068864 257586080 321982600 402478250 412137728 515172160 643965200 804956500 824275456 1030344320 1287930400 1609913000 2060688640 2575860800 3219826000 4121377280 5151721600 6439652000 10303443200 12879304000 20606886400 25758608000 51517216000 103034432000