Search a number
-
+
101300123002 = 213234347791061
BaseRepresentation
bin101111001010111110…
…1010011010101111010
3100200110210001102201111
41132111331103111322
53124430312414002
6114311525110534
710214211560401
oct1362575232572
9320423042644
10101300123002
1139a63307821
121777125844a
139724c8b6b0
144c8d9b4638
15297d4513d7
hex1795f5357a

101300123002 has 128 divisors (see below), whose sum is σ = 180871004160. Its totient is φ = 42170768640.

The previous prime is 101300122997. The next prime is 101300123003. The reversal of 101300123002 is 200321003101.

It is a super-3 number, since 3×1013001230023 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (101300123003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95475552 + ... + 95476612.

It is an arithmetic number, because the mean of its divisors is an integer number (1413054720).

Almost surely, 2101300123002 is an apocalyptic number.

101300123002 is a deficient number, since it is larger than the sum of its proper divisors (79570881158).

101300123002 is a wasteful number, since it uses less digits than its factorization.

101300123002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 101300123002 its reverse (200321003101), we get a palindrome (301621126103).

The spelling of 101300123002 in words is "one hundred one billion, three hundred million, one hundred twenty-three thousand, two".

Divisors: 1 2 13 23 26 43 46 47 79 86 94 158 299 559 598 611 989 1027 1061 1081 1118 1222 1817 1978 2021 2054 2122 2162 3397 3634 3713 4042 6794 7426 12857 13793 14053 23621 24403 25714 26273 27586 28106 44161 45623 46483 47242 48269 48806 49867 52546 78131 83819 85399 88322 91246 92966 96538 99734 156262 159659 167638 170798 317239 319318 593099 604279 634478 648271 1015703 1049329 1089647 1110187 1146941 1186198 1208558 1296542 1927837 2031406 2075567 2098658 2144281 2179294 2220374 2293882 3604217 3672157 3855674 3939493 4151134 4288562 7208434 7344314 7878986 13641277 14910233 25061881 27282554 27875653 29820466 46854821 47738041 49318463 50123762 51213409 55751306 82896991 90608339 93709642 95476082 98636926 102426818 165793982 169398199 181216678 338796398 641140019 1077660883 1177908407 1282280038 2155321766 2202176587 2355816814 3896158577 4404353174 7792317154 50650061501 101300123002