Search a number
-
+
101003301302232 = 2337977615363487
BaseRepresentation
bin10110111101110010101001…
…111001010010111111011000
3111020121211011201201111001210
4112331302221321102333120
5101214314230113132412
6554452135343343120
730163150651406160
oct2675625171227730
9436554151644053
10101003301302232
112a20129448631a
12b3b31492b1aa0
13444875535b754
141ad282b8935a0
15ba24dac9483c
hex5bdca9e52fd8

101003301302232 has 64 divisors (see below), whose sum is σ = 288876235806720. Its totient is φ = 28828548592128.

The previous prime is 101003301302231. The next prime is 101003301302243. The reversal of 101003301302232 is 232203103300101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101003301302199 and 101003301302208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101003301302231) 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, 307517608 + ... + 307845879.

It is an arithmetic number, because the mean of its divisors is an integer number (4513691184480).

Almost surely, 2101003301302232 is an apocalyptic number.

101003301302232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101003301302232 is an abundant number, since it is smaller than the sum of its proper divisors (187872934504488).

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

101003301302232 is a wasteful number, since it uses less digits than its factorization.

101003301302232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615364480 (or 615364476 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 101003301302232 its reverse (232203103300101), we get a palindrome (333206404602333).

The spelling of 101003301302232 in words is "one hundred one trillion, three billion, three hundred one million, three hundred two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 977 1954 2931 3908 5862 6839 7816 11724 13678 20517 23448 27356 41034 54712 82068 164136 615363487 1230726974 1846090461 2461453948 3692180922 4307544409 4922907896 7384361844 8615088818 12922633227 14768723688 17230177636 25845266454 34460355272 51690532908 103381065816 601210126799 1202420253598 1803630380397 2404840507196 3607260760794 4208470887593 4809681014392 7214521521588 8416941775186 12625412662779 14429043043176 16833883550372 25250825325558 33667767100744 50501650651116 101003301302232