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103305242532 = 2231923193102071
BaseRepresentation
bin110000000110101111…
…0001110011110100100
3100212122112001001121210
41200031132032132210
53143032120230112
6115242513511420
710315000034052
oct1401536163644
9325575031553
10103305242532
113a8a21307a8
1218030872570
13998450905b
1450000031d2
152a494c5b3c
hex180d78e7a4

103305242532 has 96 divisors (see below), whose sum is σ = 266138449920. Its totient is φ = 31042344960.

The previous prime is 103305242531. The next prime is 103305242533. The reversal of 103305242532 is 235242503301.

It is an interprime number because it is at equal distance from previous prime (103305242531) and next prime (103305242533).

It is a self number, because there is not a number n which added to its sum of digits gives 103305242532.

It is not an unprimeable number, because it can be changed into a prime (103305242531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 961057 + ... + 1063127.

It is an arithmetic number, because the mean of its divisors is an integer number (2772275520).

Almost surely, 2103305242532 is an apocalyptic number.

103305242532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103305242532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133069224960).

103305242532 is an abundant number, since it is smaller than the sum of its proper divisors (162833207388).

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

103305242532 is a wasteful number, since it uses less digits than its factorization.

103305242532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102313 (or 102311 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 103305242532 its reverse (235242503301), we get a palindrome (338547745833).

The spelling of 103305242532 in words is "one hundred three billion, three hundred five million, two hundred forty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 193 228 276 386 437 579 772 874 1158 1311 1748 2316 2622 3667 4439 5244 7334 8878 11001 13317 14668 17756 22002 26634 44004 53268 84341 102071 168682 204142 253023 306213 337364 408284 506046 612426 1012092 1224852 1939349 2347633 3878698 4695266 5818047 7042899 7757396 9390532 11636094 14085798 19699703 23272188 28171596 39399406 44605027 59099109 78798812 89210054 118198218 133815081 178420108 236396436 267630162 374294357 453093169 535260324 748588714 906186338 1122883071 1359279507 1497177428 1812372676 2245766142 2718559014 4491532284 5437118028 8608770211 17217540422 25826310633 34435080844 51652621266 103305242532