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232000102300 = 225219431491577
BaseRepresentation
bin1101100000010001001…
…0001001111110011100
3211011211111010022102111
43120010102021332130
512300114011233200
6254325051203404
722522115221621
oct3300422117634
9734744108374
10232000102300
118a43301173a
1238b68446564
1318b53b96055
14b32c010348
15607c9810ba
hex3604489f9c

232000102300 has 144 divisors (see below), whose sum is σ = 533170874880. Its totient is φ = 87381504000.

The previous prime is 232000102249. The next prime is 232000102307. The reversal of 232000102300 is 3201000232.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232000102307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 402079612 + ... + 402080188.

It is an arithmetic number, because the mean of its divisors is an integer number (3702575520).

Almost surely, 2232000102300 is an apocalyptic number.

232000102300 is a gapful number since it is divisible by the number (20) 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 232000102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266585437440).

232000102300 is an abundant number, since it is smaller than the sum of its proper divisors (301170772580).

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

232000102300 is a wasteful number, since it uses less digits than its factorization.

232000102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 232000102300 its reverse (3201000232), we get a palindrome (235201102532).

The spelling of 232000102300 in words is "two hundred thirty-two billion, one hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 431 475 491 577 862 950 982 1154 1724 1900 1964 2155 2308 2455 2885 4310 4910 5770 8189 8620 9329 9820 10775 10963 11540 12275 14425 16378 18658 21550 21926 24550 28850 32756 37316 40945 43100 43852 46645 49100 54815 57700 81890 93290 109630 163780 186580 204725 211621 219260 233225 248687 274075 283307 409450 423242 466450 497374 548150 566614 818900 846484 932900 994748 1058105 1096300 1133228 1243435 1416535 2116210 2486870 2833070 4020799 4232420 4725053 4973740 5290525 5382833 5666140 6217175 7082675 8041598 9450106 10581050 10765666 12434350 14165350 16083196 18900212 20103995 21162100 21531332 23625265 24868700 26914165 28330700 40207990 47250530 53828330 80415980 94501060 100519975 107656660 118126325 122105317 134570825 201039950 236252650 244210634 269141650 402079900 472505300 488421268 538283300 610526585 1221053170 2320001023 2442106340 3052632925 4640002046 6105265850 9280004092 11600005115 12210531700 23200010230 46400020460 58000025575 116000051150 232000102300