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100234242300 = 223521761322193
BaseRepresentation
bin101110101011001101…
…1010010100011111100
3100120201111102002021110
41131112123102203330
53120234431223200
6114014051402020
710145620000443
oct1352633224374
9316644362243
10100234242300
1139566686885
12175142b3310
1395b51c595a
144bcc1d7d5a
152919aa9b50
hex17566d28fc

100234242300 has 144 divisors (see below), whose sum is σ = 312105461472. Its totient is φ = 24744345600.

The previous prime is 100234242287. The next prime is 100234242331. The reversal of 100234242300 is 3242432001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150004 + ... + 472196.

It is an arithmetic number, because the mean of its divisors is an integer number (2167399038).

Almost surely, 2100234242300 is an apocalyptic number.

100234242300 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 100234242300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156052730736).

100234242300 is an abundant number, since it is smaller than the sum of its proper divisors (211871219172).

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

100234242300 is a wasteful number, since it uses less digits than its factorization.

100234242300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322288 (or 322281 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 100234242300 its reverse (3242432001), we get a palindrome (103476674301).

The spelling of 100234242300 in words is "one hundred billion, two hundred thirty-four million, two hundred forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 61 68 75 85 100 102 122 150 170 183 204 244 255 300 305 340 366 425 510 610 732 850 915 1020 1037 1220 1275 1525 1700 1830 2074 2550 3050 3111 3660 4148 4575 5100 5185 6100 6222 9150 10370 12444 15555 18300 20740 25925 31110 51850 62220 77775 103700 155550 311100 322193 644386 966579 1288772 1610965 1933158 3221930 3866316 4832895 5477281 6443860 8054825 9665790 10954562 16109650 16431843 19331580 19653773 21909124 24164475 27386405 32219300 32863686 39307546 48328950 54772810 58961319 65727372 78615092 82159215 96657900 98268865 109545620 117922638 136932025 164318430 196537730 235845276 273864050 294806595 328636860 334114141 393075460 410796075 491344325 547728100 589613190 668228282 821592150 982688650 1002342423 1179226380 1336456564 1474032975 1643184300 1670570705 1965377300 2004684846 2948065950 3341141410 4009369692 5011712115 5896131900 6682282820 8352853525 10023424230 16705707050 20046848460 25058560575 33411414100 50117121150 100234242300