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103202312031 = 33713471914679
BaseRepresentation
bin110000000011101010…
…1100100111101011111
3100212101100100122112000
41200013111210331133
53142324242441111
6115224355413343
710312310115120
oct1400725447537
9325340318460
10103202312031
113a84a018575
12180022b4253
1399690aa730
144dd048c047
152a40442c56
hex1807564f5f

103202312031 has 128 divisors (see below), whose sum is σ = 193226342400. Its totient is φ = 52987893120.

The previous prime is 103202312021. The next prime is 103202312039. The reversal of 103202312031 is 130213202301.

103202312031 is a `hidden beast` number, since 1 + 0 + 320 + 2 + 312 + 0 + 31 = 666.

It is not a de Polignac number, because 103202312031 - 210 = 103202311007 is a prime.

It is a super-2 number, since 2×1032023120312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103202311995 and 103202312013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103202312039) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22054150 + ... + 22058828.

It is an arithmetic number, because the mean of its divisors is an integer number (1509580800).

Almost surely, 2103202312031 is an apocalyptic number.

103202312031 is a deficient number, since it is larger than the sum of its proper divisors (90024030369).

103202312031 is a wasteful number, since it uses less digits than its factorization.

103202312031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4946 (or 4940 counting only the distinct ones).

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

Adding to 103202312031 its reverse (130213202301), we get a palindrome (233415514332).

The spelling of 103202312031 in words is "one hundred three billion, two hundred two million, three hundred twelve thousand, thirty-one".

Divisors: 1 3 7 9 13 21 27 39 47 63 91 117 141 189 191 273 329 351 423 573 611 819 987 1269 1337 1719 1833 2457 2483 2961 4011 4277 4679 5157 5499 7449 8883 8977 12033 12831 14037 16497 17381 22347 26931 32753 36099 38493 42111 52143 60827 62839 67041 80793 98259 115479 116701 126333 156429 182481 188517 219913 242379 294777 350103 425789 469287 547443 565551 659739 816907 884331 893689 1050309 1277367 1539391 1642329 1696653 1979217 2450721 2681067 2858869 3150927 3832101 4618173 5937651 6255823 7352163 8043201 8576607 11496303 11617957 13854519 18767469 20012083 22056489 24129603 25729821 34853871 41563557 42003383 56302407 60036249 77189463 81325699 104561613 126010149 168907221 180108747 243977097 294023681 313684839 378030447 540326241 546043979 731931291 882071043 1134091341 1638131937 2195793873 2646213129 3822307853 4914395811 7938639387 11466923559 14743187433 34400770677 103202312031