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112230001002 = 23719617331583
BaseRepresentation
bin110100010000101101…
…1011110100101101010
3101201200111112202122210
41220201123132211222
53314321340013002
6123320250225550
711052110161050
oct1504133364552
9351614482583
10112230001002
1143661a00949
12199017252b6
13a777503b22
1456094301d0
152dbcc8d96c
hex1a216de96a

112230001002 has 128 divisors (see below), whose sum is σ = 278222192640. Its totient is φ = 29469795840.

The previous prime is 112230000979. The next prime is 112230001007. The reversal of 112230001002 is 200100032211.

It is not an unprimeable number, because it can be changed into a prime (112230001007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3537703 + ... + 3569285.

It is an arithmetic number, because the mean of its divisors is an integer number (2173610880).

Almost surely, 2112230001002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112230001002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139111096320).

112230001002 is an abundant number, since it is smaller than the sum of its proper divisors (165992191638).

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

112230001002 is a wasteful number, since it uses less digits than its factorization.

112230001002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31748.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 112230001002 its reverse (200100032211), we get a palindrome (312330033213).

The spelling of 112230001002 in words is "one hundred twelve billion, two hundred thirty million, one thousand, two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 61 73 114 122 133 146 183 219 266 366 399 427 438 511 798 854 1022 1159 1281 1387 1533 2318 2562 2774 3066 3477 4161 4453 6954 8113 8322 8906 9709 13359 16226 19418 24339 26718 29127 31171 31583 48678 58254 62342 63166 84607 93513 94749 169214 187026 189498 221081 253821 442162 507642 592249 600077 663243 1184498 1200154 1326486 1776747 1800231 1926563 2305559 3553494 3600462 3853126 4200539 4611118 5779689 6916677 8401078 11559378 12601617 13485941 13833354 16138913 25203234 26971882 32277826 36604697 40457823 43805621 48416739 73209394 80915646 87611242 96833478 109814091 131416863 140639099 219628182 256232879 262833726 281278198 306639347 421917297 512465758 613278694 768698637 843834594 919918041 984473693 1537397274 1839836082 1968947386 2672142881 2953421079 5344285762 5906842158 8016428643 16032857286 18705000167 37410000334 56115000501 112230001002