Search a number
-
+
230103333012 = 22372478993553
BaseRepresentation
bin1101011001001100111…
…0100011100010010100
3210222221022000110010010
43112103032203202110
512232222423124022
6253412533000220
722424114026200
oct3262316434224
9728838013103
10230103333012
118964a372913
1238719183070
1318910c23b67
14b1cc147b00
155ebb1b050c
hex35933a3894

230103333012 has 144 divisors (see below), whose sum is σ = 645028634880. Its totient is φ = 63621347328.

The previous prime is 230103332983. The next prime is 230103333017. The reversal of 230103333012 is 210333301032.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 230103333012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230103333017) 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, 2412828 + ... + 2506380.

It is an arithmetic number, because the mean of its divisors is an integer number (4479365520).

Almost surely, 2230103333012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230103333012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322514317440).

230103333012 is an abundant number, since it is smaller than the sum of its proper divisors (414925301868).

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

230103333012 is a wasteful number, since it uses less digits than its factorization.

230103333012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93710 (or 93701 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 230103333012 its reverse (210333301032), we get a palindrome (440436634044).

The spelling of 230103333012 in words is "two hundred thirty billion, one hundred three million, three hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 49 84 89 94 98 141 147 178 188 196 267 282 294 329 356 534 564 588 623 658 987 1068 1246 1316 1869 1974 2303 2492 3738 3948 4183 4361 4606 6909 7476 8366 8722 9212 12549 13083 13818 16732 17444 25098 26166 27636 29281 50196 52332 58562 87843 93553 117124 175686 187106 204967 280659 351372 374212 409934 561318 614901 654871 819868 1122636 1229802 1309742 1964613 2459604 2619484 3929226 4396991 4584097 7858452 8326217 8793982 9168194 13190973 13752291 16652434 17587964 18336388 24978651 26381946 27504582 30778937 33304868 49957302 52763892 55009164 58283519 61557874 92336811 99914604 116567038 123115748 174850557 184673622 215452559 233134076 349701114 369347244 391332199 407984633 430905118 646357677 699402228 782664398 815969266 861810236 1173996597 1223953899 1292715354 1565328796 1631938532 2347993194 2447907798 2585430708 2739325393 4695986388 4895815596 5478650786 8217976179 10957301572 16435952358 19175277751 32871904716 38350555502 57525833253 76701111004 115051666506 230103333012