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1244120100 = 2235213131657
BaseRepresentation
bin100101000100111…
…1100010000100100
310012201000211221020
41022021330100210
510021443320400
6323241451140
742554563206
oct11211742044
93181024836
101244120100
11589300933
122a87a0ab0
1316a9a1452
14bb336776
15743532a0
hex4a27c424

1244120100 has 72 divisors (see below), whose sum is σ = 3627247008. Its totient is φ = 329222400.

The previous prime is 1244120081. The next prime is 1244120123. The reversal of 1244120100 is 10214421.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1244120100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23472 + ... + 55128.

Almost surely, 21244120100 is an apocalyptic number.

1244120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1244120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813623504).

1244120100 is an abundant number, since it is smaller than the sum of its proper divisors (2383126908).

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

1244120100 is a wasteful number, since it uses less digits than its factorization.

1244120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31805 (or 31798 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1244120100 is about 35272.0866975573. The cubic root of 1244120100 is about 1075.5256416197.

Adding to 1244120100 its reverse (10214421), we get a palindrome (1254334521).

The spelling of 1244120100 in words is "one billion, two hundred forty-four million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 131 150 262 300 393 524 655 786 1310 1572 1965 2620 3275 3930 6550 7860 9825 13100 19650 31657 39300 63314 94971 126628 158285 189942 316570 379884 474855 633140 791425 949710 1582850 1899420 2374275 3165700 4147067 4748550 8294134 9497100 12441201 16588268 20735335 24882402 41470670 49764804 62206005 82941340 103676675 124412010 207353350 248824020 311030025 414706700 622060050 1244120100