Search a number
-
+
103102033122 = 232111933269383
BaseRepresentation
bin110000000000101011…
…1000010110011100010
3100212010100122221201100
41200001113002303202
53142123110024442
6115210414215230
710306651551564
oct1400127026342
9325110587640
10103102033122
113a7a8456540
1217b947b4516
139951399cba
144dc1027334
152a3673584c
hex18015c2ce2

103102033122 has 48 divisors (see below), whose sum is σ = 243822691008. Its totient is φ = 31226761440.

The previous prime is 103102033117. The next prime is 103102033183. The reversal of 103102033122 is 221330201301.

103102033122 is a `hidden beast` number, since 1 + 0 + 310 + 2 + 0 + 331 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103102033095 and 103102033104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248043 + ... + 517425.

It is an arithmetic number, because the mean of its divisors is an integer number (5079639396).

Almost surely, 2103102033122 is an apocalyptic number.

103102033122 is an abundant number, since it is smaller than the sum of its proper divisors (140720657886).

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

103102033122 is a wasteful number, since it uses less digits than its factorization.

103102033122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271335 (or 271332 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103102033122 its reverse (221330201301), we get a palindrome (324432234423).

The spelling of 103102033122 in words is "one hundred three billion, one hundred two million, thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1933 3866 5799 11598 17397 21263 34794 42526 63789 127578 191367 269383 382734 538766 808149 1616298 2424447 2963213 4848894 5926426 8889639 17779278 26668917 53337834 520717339 1041434678 1562152017 3124304034 4686456051 5727890729 9372912102 11455781458 17183672187 34367344374 51551016561 103102033122