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103100233012300 = 225229614671248001
BaseRepresentation
bin10111011100010011100100…
…110000111101010001001100
3111112001021201111200101202201
4113130103210300331101030
5102003143234122343200
61003135332043331244
730500513613015106
oct2734234460752114
9445037644611681
10103100233012300
112a93a6217995a7
12b691623520b24
13456b40582a984
141b66113aa2576
15bdbd18928c6a
hex5dc4e4c3d44c

103100233012300 has 144 divisors (see below), whose sum is σ = 235740289468320. Its totient is φ = 39081369600000.

The previous prime is 103100233012291. The next prime is 103100233012321. The reversal of 103100233012300 is 3210332001301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81988300 + ... + 83236300.

It is an arithmetic number, because the mean of its divisors is an integer number (1637085343530).

Almost surely, 2103100233012300 is an apocalyptic number.

103100233012300 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 103100233012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117870144734160).

103100233012300 is an abundant number, since it is smaller than the sum of its proper divisors (132640056456020).

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

103100233012300 is a wasteful number, since it uses less digits than its factorization.

103100233012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248572 (or 1248565 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 103100233012300 its reverse (3210332001301), we get a palindrome (106310565013601).

The spelling of 103100233012300 in words is "one hundred three trillion, one hundred billion, two hundred thirty-three million, twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 61 100 116 122 145 244 290 305 467 580 610 725 934 1220 1450 1525 1769 1868 2335 2900 3050 3538 4670 6100 7076 8845 9340 11675 13543 17690 23350 27086 28487 35380 44225 46700 54172 56974 67715 88450 113948 135430 142435 176900 270860 284870 338575 569740 677150 712175 826123 1248001 1354300 1424350 1652246 2496002 2848700 3304492 4130615 4992004 6240005 8261230 12480010 16522460 20653075 24960020 31200025 36192029 41306150 62400050 72384058 76128061 82612300 124800100 144768116 152256122 180960145 304512244 361920290 380640305 582816467 723840580 761280610 904800725 1165632934 1522561220 1809601450 1903201525 2207713769 2331265868 2914082335 3619202900 3806403050 4415427538 5828164670 7612806100 8830855076 11038568845 11656329340 14570411675 16901677543 22077137690 29140823350 33803355086 35551804487 44154275380 55192844225 58281646700 67606710172 71103608974 84508387715 110385688450 142207217948 169016775430 177759022435 220771376900 338033550860 355518044870 422541938575 711036089740 845083877150 888795112175 1031002330123 1690167754300 1777590224350 2062004660246 3555180448700 4124009320492 5155011650615 10310023301230 20620046602460 25775058253075 51550116506150 103100233012300