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100320012 = 22331371453
BaseRepresentation
bin1011111101011…
…00001100001100
320222202210012000
411332230030030
5201140220022
613542112300
72325464112
oct576541414
9228683160
10100320012
115169aa01
122971b690
1317a26370
14d475ab2
158c196ac
hex5fac30c

100320012 has 48 divisors (see below), whose sum is σ = 280099680. Its totient is φ = 30867264.

The previous prime is 100320007. The next prime is 100320023. The reversal of 100320012 is 210023001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100319976 and 100320003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34323 + ... + 37130.

It is an arithmetic number, because the mean of its divisors is an integer number (5835410).

Almost surely, 2100320012 is an apocalyptic number.

100320012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100320012 is an abundant number, since it is smaller than the sum of its proper divisors (179779668).

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

100320012 is a wasteful number, since it uses less digits than its factorization.

100320012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71479 (or 71471 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100320012 is about 10015.9878194814. The cubic root of 100320012 is about 464.6534775242.

Adding to 100320012 its reverse (210023001), we get a palindrome (310343013).

The spelling of 100320012 in words is "one hundred million, three hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 71453 142906 214359 285812 428718 643077 857436 928889 1286154 1857778 1929231 2572308 2786667 3715556 3858462 5573334 7716924 8360001 11146668 16720002 25080003 33440004 50160006 100320012