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103031012322 = 232743115316493
BaseRepresentation
bin101111111110100100…
…0000111101111100010
3100211221102000201111100
41133331020013233202
53142001414343242
6115155400055230
710305130104060
oct1377510075742
9324842021440
10103031012322
113a771358567
1217b74a64516
13993c761964
144db581b030
152a303a754c
hex17fd207be2

103031012322 has 96 divisors (see below), whose sum is σ = 261299795328. Its totient is φ = 28726161408.

The previous prime is 103031012317. The next prime is 103031012323. The reversal of 103031012322 is 223210130301.

103031012322 is a `hidden beast` number, since 1 + 0 + 30 + 310 + 1 + 2 + 322 = 666.

It is a super-2 number, since 2×1030310123222 (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 = 103031012295 and 103031012304.

It is not an unprimeable number, because it can be changed into a prime (103031012323) 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, 6238708 + ... + 6255200.

It is an arithmetic number, because the mean of its divisors is an integer number (2721872868).

Almost surely, 2103031012322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103031012322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130649897664).

103031012322 is an abundant number, since it is smaller than the sum of its proper divisors (158268783006).

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

103031012322 is a wasteful number, since it uses less digits than its factorization.

103031012322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17704 (or 17701 counting only the distinct ones).

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

Adding to 103031012322 its reverse (223210130301), we get a palindrome (326241142623).

The spelling of 103031012322 in words is "one hundred three billion, thirty-one million, twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 258 301 387 602 774 903 1153 1806 2306 2709 3459 5418 6918 8071 10377 16142 16493 20754 24213 32986 48426 49479 49579 72639 98958 99158 115451 145278 148437 148737 230902 296874 297474 346353 347053 446211 692706 694106 709199 892422 1039059 1041159 1418398 2078118 2082318 2127597 3123477 4255194 4964393 6246954 6382791 9928786 12765582 14893179 19016429 29786358 38032858 44679537 57049287 89359074 114098574 133115003 171147861 266230006 342295722 399345009 798690018 817706447 1198035027 1635412894 2396070054 2453119341 4906238682 5723945129 7359358023 11447890258 14718716046 17171835387 34343670774 51515506161 103031012322