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12302330100 = 22352432334093
BaseRepresentation
bin10110111010100011…
…01010100011110100
31011202101000010021120
423131101222203310
5200143344030400
65352425343540
7613602036414
oct133521524364
934671003246
1012302330100
115243387765
122474037bb0
13121099a088
14849c3a644
154c008eca0
hex2dd46a8f4

12302330100 has 144 divisors (see below), whose sum is σ = 36587783232. Its totient is φ = 3189795840.

The previous prime is 12302330087. The next prime is 12302330101. The reversal of 12302330100 is 103320321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12302330100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12302330101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3003654 + ... + 3007746.

It is an arithmetic number, because the mean of its divisors is an integer number (254081828).

Almost surely, 212302330100 is an apocalyptic number.

12302330100 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 12302330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18293891616).

12302330100 is an abundant number, since it is smaller than the sum of its proper divisors (24285453132).

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

12302330100 is a wasteful number, since it uses less digits than its factorization.

12302330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4386 (or 4379 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 12302330100 its reverse (103320321), we get a palindrome (12405650421).

The spelling of 12302330100 in words is "twelve billion, three hundred two million, three hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 233 258 300 430 466 516 645 699 860 932 1075 1165 1290 1398 2150 2330 2580 2796 3225 3495 4093 4300 4660 5825 6450 6990 8186 10019 11650 12279 12900 13980 16372 17475 20038 20465 23300 24558 30057 34950 40076 40930 49116 50095 60114 61395 69900 81860 100190 102325 120228 122790 150285 175999 200380 204650 245580 250475 300570 306975 351998 409300 500950 527997 601140 613950 703996 751425 879995 953669 1001900 1055994 1227900 1502850 1759990 1907338 2111988 2639985 2861007 3005700 3519980 3814676 4399975 4768345 5279970 5722014 8799950 9536690 10559940 11444028 13199925 14305035 17599900 19073380 23841725 26399850 28610070 41007767 47683450 52799700 57220140 71525175 82015534 95366900 123023301 143050350 164031068 205038835 246046602 286100700 410077670 492093204 615116505 820155340 1025194175 1230233010 2050388350 2460466020 3075582525 4100776700 6151165050 12302330100