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117125101400 = 23522983243301
BaseRepresentation
bin110110100010100110…
…0110011011101011000
3102012022122112122000112
41231011030303131120
53404333011221100
6125450113223452
711314316635556
oct1550514633530
9365278478015
10117125101400
114574408026a
121a848b61b88
13b0776c4a38
1459515c6bd6
1530a78c3b35
hex1b45333758

117125101400 has 96 divisors (see below), whose sum is σ = 285101283600. Its totient is φ = 44689344000.

The previous prime is 117125101393. The next prime is 117125101403. The reversal of 117125101400 is 4101521711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117125101403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359750 + ... + 603050.

Almost surely, 2117125101400 is an apocalyptic number.

117125101400 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 117125101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142550641800).

117125101400 is an abundant number, since it is smaller than the sum of its proper divisors (167976182200).

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

117125101400 is a wasteful number, since it uses less digits than its factorization.

117125101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243429 (or 243420 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 23.

The spelling of 117125101400 in words is "one hundred seventeen billion, one hundred twenty-five million, one hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 83 100 116 145 166 200 232 290 332 415 580 664 725 830 1160 1450 1660 2075 2407 2900 3320 4150 4814 5800 8300 9628 12035 16600 19256 24070 48140 60175 96280 120350 240700 243301 481400 486602 973204 1216505 1946408 2433010 4866020 6082525 7055729 9732040 12165050 14111458 20193983 24330100 28222916 35278645 40387966 48660200 56445832 70557290 80775932 100969915 141114580 161551864 176393225 201939830 282229160 352786450 403879660 504849575 585625507 705572900 807759320 1009699150 1171251014 1411145800 2019398300 2342502028 2928127535 4038796600 4685004056 5856255070 11712510140 14640637675 23425020280 29281275350 58562550700 117125101400