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103012131033 = 32719364323623
BaseRepresentation
bin101111111110000000…
…0000110000011011001
3100211220002111110020100
41133330000012003121
53141432101143113
6115153443250013
710304510444430
oct1377400060331
9324802443210
10103012131033
113a761731799
1217b6a679909
1399388807b6
144db3104117
152a2d8c7d73
hex17fc0060d9

103012131033 has 48 divisors (see below), whose sum is σ = 179058580480. Its totient is φ = 55748297952.

The previous prime is 103012131007. The next prime is 103012131083. The reversal of 103012131033 is 330131210301.

It is a happy number.

103012131033 is a `hidden beast` number, since 1 + 0 + 301 + 21 + 310 + 33 = 666.

It is not a de Polignac number, because 103012131033 - 232 = 98717163737 is a prime.

It is a super-2 number, since 2×1030121310332 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103012130997 and 103012131015.

It is not an unprimeable number, because it can be changed into a prime (103012131083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4348860 + ... + 4372482.

Almost surely, 2103012131033 is an apocalyptic number.

It is an amenable number.

103012131033 is a deficient number, since it is larger than the sum of its proper divisors (76046449447).

103012131033 is a wasteful number, since it uses less digits than its factorization.

103012131033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27298 (or 27295 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103012131033 its reverse (330131210301), we get a palindrome (433143341334).

The spelling of 103012131033 in words is "one hundred three billion, twelve million, one hundred thirty-one thousand, thirty-three".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 3643 10929 23623 25501 32787 69217 70869 76503 165361 207651 212607 229509 448837 484519 496083 622953 1346511 1453557 1488249 3141859 4039533 4360671 9425577 28276731 86058589 258175767 602410123 774527301 1635113191 1807230369 4905339573 5421691107 11445792337 14716018719 34337377011 103012131033