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10096231400 = 2352192139837
BaseRepresentation
bin10010110011100100…
…00100001111101000
3222001121211200210022
421121302010033220
5131134113401100
64345501140012
7505123356653
oct113162041750
928047750708
1010096231400
1143110720a2
121b5925a608
13c4b911828
146bac5289a
153e156ae85
hex259c843e8

10096231400 has 72 divisors (see below), whose sum is σ = 24774399270. Its totient is φ = 3825912960.

The previous prime is 10096231393. The next prime is 10096231423. The reversal of 10096231400 is 413269001.

It can be written as a sum of positive squares in 3 ways, for example, as 6631496356 + 3464735044 = 81434^2 + 58862^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10096231400.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2282 + ... + 142118.

Almost surely, 210096231400 is an apocalyptic number.

10096231400 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 10096231400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12387199635).

10096231400 is an abundant number, since it is smaller than the sum of its proper divisors (14678167870).

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

10096231400 is a wasteful number, since it uses less digits than its factorization.

10096231400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139891 (or 139863 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 10096231400 in words is "ten billion, ninety-six million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 361 380 475 722 760 950 1444 1805 1900 2888 3610 3800 7220 9025 14440 18050 36100 72200 139837 279674 559348 699185 1118696 1398370 2656903 2796740 3495925 5313806 5593480 6991850 10627612 13284515 13983700 21255224 26569030 27967400 50481157 53138060 66422575 100962314 106276120 132845150 201924628 252405785 265690300 403849256 504811570 531380600 1009623140 1262028925 2019246280 2524057850 5048115700 10096231400