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100232323000 = 23531729203311
BaseRepresentation
bin101110101011001001…
…1111101111110111000
3100120201100210120111021
41131112103331332320
53120233433314000
6114013542312224
710145564455015
oct1352623757670
9316640716437
10100232323000
1139565595887
1217513728674
1395b49a3184
144bcbc5870c
15291982b11a
hex17564fdfb8

100232323000 has 128 divisors (see below), whose sum is σ = 256905043200. Its totient is φ = 36433152000.

The previous prime is 100232322991. The next prime is 100232323019. The reversal of 100232323000 is 323232001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391345 + ... + 594655.

It is an arithmetic number, because the mean of its divisors is an integer number (2007070650).

Almost surely, 2100232323000 is an apocalyptic number.

100232323000 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 100232323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128452521600).

100232323000 is an abundant number, since it is smaller than the sum of its proper divisors (156672720200).

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

100232323000 is a wasteful number, since it uses less digits than its factorization.

100232323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203378 (or 203364 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 100232323000 its reverse (323232001), we get a palindrome (100555555001).

Subtracting from 100232323000 its reverse (323232001), we obtain a palindrome (99909090999).

The spelling of 100232323000 in words is "one hundred billion, two hundred thirty-two million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 17 20 25 29 34 40 50 58 68 85 100 116 125 136 145 170 200 232 250 290 340 425 493 500 580 680 725 850 986 1000 1160 1450 1700 1972 2125 2465 2900 3400 3625 3944 4250 4930 5800 7250 8500 9860 12325 14500 17000 19720 24650 29000 49300 61625 98600 123250 203311 246500 406622 493000 813244 1016555 1626488 2033110 3456287 4066220 5082775 5896019 6912574 8132440 10165550 11792038 13825148 17281435 20331100 23584076 25413875 27650296 29480095 34562870 40662200 47168152 50827750 58960190 69125740 86407175 100232323 101655500 117920380 138251480 147400475 172814350 200464646 203311000 235840760 294800950 345628700 400929292 432035875 501161615 589601900 691257400 737002375 801858584 864071750 1002323230 1179203800 1474004750 1728143500 2004646460 2505808075 2948009500 3456287000 4009292920 5011616150 5896019000 10023232300 12529040375 20046464600 25058080750 50116161500 100232323000