Search a number
-
+
103233313102112 = 25171013451154443
BaseRepresentation
bin10111011110001111100000…
…111101001101100100100000
3111112112000020002100102021222
4113132033200331031210200
5102012333311123231422
61003320421311434212
730513234510064124
oct2736174075154440
9445460202312258
10103233313102112
112a991002a607a6
12b6b3383825968
13457ab23878c4b
141b6c73a261584
15be0506da1842
hex5de3e0f4d920

103233313102112 has 96 divisors (see below), whose sum is σ = 217336855567104. Its totient is φ = 48097111552000.

The previous prime is 103233313102111. The next prime is 103233313102123. The reversal of 103233313102112 is 211201313332301.

It is not an unprimeable number, because it can be changed into a prime (103233313102111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1896145163 + ... + 1896199605.

It is an arithmetic number, because the mean of its divisors is an integer number (2263925578824).

Almost surely, 2103233313102112 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 103233313102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108668427783552).

103233313102112 is an abundant number, since it is smaller than the sum of its proper divisors (114103542464992).

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

103233313102112 is a wasteful number, since it uses less digits than its factorization.

103233313102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89082 (or 89074 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 103233313102112 its reverse (211201313332301), we get a palindrome (314434626434413).

The spelling of 103233313102112 in words is "one hundred three trillion, two hundred thirty-three billion, three hundred thirteen million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 101 136 202 272 404 544 808 1616 1717 3232 3434 6868 13736 27472 34511 54443 54944 69022 108886 138044 217772 276088 435544 552176 586687 871088 925531 1104352 1173374 1742176 1851062 2346748 3485611 3702124 4693496 5498743 6971222 7404248 9386992 10997486 13942444 14808496 18773984 21994972 27884888 29616992 43989944 55769776 59255387 87979888 93478631 111539552 118510774 175959776 186957262 237021548 373914524 474043096 747829048 948086192 1495658096 1878882373 1896172384 2991316192 3757764746 7515529492 15031058984 30062117968 31941000341 60124235936 63882000682 127764001364 189767119673 255528002728 379534239346 511056005456 759068478692 1022112010912 1518136957384 3036273914768 3226041034441 6072547829536 6452082068882 12904164137764 25808328275528 51616656551056 103233313102112