Search a number
-
+
101301201352 = 23136179202127
BaseRepresentation
bin101111001011000000…
…1011010100111001000
3100200110212002012221101
41132112001122213020
53124431101420402
6114312004151144
710214224001311
oct1362601324710
9320425065841
10101301201352
1139a63983a1a
12177716984b4
139725278480
144c8dbb5608
15297d5b5b87
hex179605a9c8

101301201352 has 64 divisors (see below), whose sum is σ = 210536524800. Its totient is φ = 45405584640.

The previous prime is 101301201347. The next prime is 101301201367. The reversal of 101301201352 is 253102103101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400113 + ... + 602239.

It is an arithmetic number, because the mean of its divisors is an integer number (3289633200).

Almost surely, 2101301201352 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 101301201352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105268262400).

101301201352 is an abundant number, since it is smaller than the sum of its proper divisors (109235323448).

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

101301201352 is a wasteful number, since it uses less digits than its factorization.

101301201352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202286 (or 202282 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 101301201352 its reverse (253102103101), we get a palindrome (354403304453).

The spelling of 101301201352 in words is "one hundred one billion, three hundred one million, two hundred one thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 61 79 104 122 158 244 316 488 632 793 1027 1586 2054 3172 4108 4819 6344 8216 9638 19276 38552 62647 125294 202127 250588 404254 501176 808508 1617016 2627651 5255302 10510604 12329747 15968033 21021208 24659494 31936066 49318988 63872132 98637976 127744264 160286711 207584429 320573422 415168858 641146844 830337716 974050013 1282293688 1660675432 1948100026 3896200052 7792400104 12662650169 25325300338 50650600676 101301201352