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32300002123230 = 2357379827225749
BaseRepresentation
bin1110101100000011011100…
…01001110001110111011110
311020100211221200110111201110
413112001232021301313132
513213200401020420410
6152410225514522450
76542412110022042
oct726015611616736
9136324850414643
1032300002123230
11a323399159376
123757b59436426
131503b5309676a
147d9485372022
153b02e5734720
hex1d606e271dde

32300002123230 has 128 divisors (see below), whose sum is σ = 79673207040000. Its totient is φ = 8377627474944.

The previous prime is 32300002123229. The next prime is 32300002123241. The reversal of 32300002123230 is 3232120000323.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 32300002123197 and 32300002123206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142966396 + ... + 143192144.

It is an arithmetic number, because the mean of its divisors is an integer number (622446930000).

Almost surely, 232300002123230 is an apocalyptic number.

32300002123230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32300002123230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39836603520000).

32300002123230 is an abundant number, since it is smaller than the sum of its proper divisors (47373204916770).

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

32300002123230 is a wasteful number, since it uses less digits than its factorization.

32300002123230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226738.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 32300002123230 its reverse (3232120000323), we get a palindrome (35532122123553).

The spelling of 32300002123230 in words is "thirty-two trillion, three hundred billion, two million, one hundred twenty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 73 79 146 158 219 237 365 395 438 474 730 790 827 1095 1185 1654 2190 2370 2481 4135 4962 5767 8270 11534 12405 17301 24810 28835 34602 57670 60371 65333 86505 120742 130666 173010 181113 195999 225749 301855 326665 362226 391998 451498 603710 653330 677247 905565 979995 1128745 1354494 1811130 1959990 2257490 3386235 4769309 6772470 9538618 14307927 16479677 17834171 23846545 28615854 32959354 35668342 47693090 49439031 53502513 71539635 82398385 89170855 98878062 107005026 143079270 164796770 178341710 186694423 247195155 267512565 373388846 494390310 535025130 560083269 933472115 1120166538 1301894483 1866944230 2603788966 2800416345 3905683449 5600832690 6509472415 7811366898 13018944830 13628692879 14748859417 19528417245 27257385758 29497718834 39056834490 40886078637 44246578251 68143464395 73744297085 81772157274 88493156502 136286928790 147488594170 204430393185 221232891255 408860786370 442465782510 1076666737441 2153333474882 3230000212323 5383333687205 6460000424646 10766667374410 16150001061615 32300002123230