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100001231240 = 2357337939029
BaseRepresentation
bin101110100100010001…
…0011011000110001000
3100120010020221220012012
41131020202123012020
53114300303344430
6113535005235052
710140060304061
oct1351042330610
9316106856165
10100001231240
11394570a7159
121746a262a88
139578b50ca1
144ba92a1568
1529043ce695
hex174889b188

100001231240 has 64 divisors (see below), whose sum is σ = 228170401200. Its totient is φ = 39437770752.

The previous prime is 100001231233. The next prime is 100001231249. The reversal of 100001231240 is 42132100001.

It can be written as a sum of positive squares in 8 ways, for example, as 65904131524 + 34097099716 = 256718^2 + 184654^2 .

It is not an unprimeable number, because it can be changed into a prime (100001231249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11071046 + ... + 11080074.

Almost surely, 2100001231240 is an apocalyptic number.

100001231240 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 100001231240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114085200600).

100001231240 is an abundant number, since it is smaller than the sum of its proper divisors (128169169960).

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

100001231240 is a wasteful number, since it uses less digits than its factorization.

100001231240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12906 (or 12902 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100001231240 its reverse (42132100001), we get a palindrome (142133331241).

The spelling of 100001231240 in words is "one hundred billion, one million, two hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 3793 7586 9029 15172 18058 18965 30344 36116 37930 45145 72232 75860 90290 151720 180580 276889 361160 553778 659117 1107556 1318234 1384445 2215112 2636468 2768890 3295585 5272936 5537780 6591170 11075560 13182340 26364680 34246997 68493994 136987988 171234985 273975976 342469970 684939940 1369879880 2500030781 5000061562 10000123124 12500153905 20000246248 25000307810 50000615620 100001231240