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103011132222 = 2321719142312451
BaseRepresentation
bin101111111101111110…
…0010010001100111110
3100211220000121201010100
41133323330102030332
53141431322212342
6115153410021530
710304466114435
oct1377374221476
9324800551110
10103011132222
113a76110a329
1217b6a2778a6
1399385c0c9b
144db2d2411c
152a2d77be4c
hex17fbf1233e

103011132222 has 96 divisors (see below), whose sum is σ = 248952337920. Its totient is φ = 30592339200.

The previous prime is 103011132221. The next prime is 103011132229. The reversal of 103011132222 is 222231110301.

103011132222 is a `hidden beast` number, since 10 + 301 + 1 + 132 + 222 = 666.

It is a super-2 number, since 2×1030111322222 (a number of 23 digits) contains 22 as substring.

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 = 103011132195 and 103011132204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103011132221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8267097 + ... + 8279547.

It is an arithmetic number, because the mean of its divisors is an integer number (2593253520).

Almost surely, 2103011132222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103011132222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124476168960).

103011132222 is an abundant number, since it is smaller than the sum of its proper divisors (145941205698).

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

103011132222 is a wasteful number, since it uses less digits than its factorization.

103011132222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13918 (or 13915 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103011132222 its reverse (222231110301), we get a palindrome (325242242523).

The spelling of 103011132222 in words is "one hundred three billion, eleven million, one hundred thirty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 102 114 153 171 306 323 342 646 969 1423 1938 2846 2907 4269 5814 8538 12451 12807 24191 24902 25614 27037 37353 48382 54074 72573 74706 81111 112059 145146 162222 211667 217719 224118 236569 243333 423334 435438 459629 473138 486666 635001 709707 919258 1270002 1378887 1419414 1905003 2129121 2757774 3810006 4021673 4136661 4258242 8043346 8273322 12065019 17717773 24130038 35435546 36195057 53153319 72390114 106306638 159459957 301202141 318919914 336637687 602404282 673275374 903606423 1009913061 1807212846 2019826122 2710819269 3029739183 5421638538 5722840679 6059478366 11445681358 17168522037 34337044074 51505566111 103011132222