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103226345442 = 232118922132647
BaseRepresentation
bin110000000100011000…
…1010000011111100010
3100212110000120200011100
41200020301100133202
53142401421023232
6115231014455230
710313021313303
oct1401061203742
9325400520140
10103226345442
113a8616431a0
121800a364516
13997107399c
144dd37467aa
152a425ddc7c
hex1808c507e2

103226345442 has 96 divisors (see below), whose sum is σ = 246935744640. Its totient is φ = 30903586560.

The previous prime is 103226345429. The next prime is 103226345449. The reversal of 103226345442 is 244543622301.

103226345442 is a `hidden beast` number, since 10 + 3 + 2 + 2 + 634 + 5 + 4 + 4 + 2 = 666.

It is a super-2 number, since 2×1032263454422 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103226345397 and 103226345406.

It is not an unprimeable number, because it can be changed into a prime (103226345449) 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, 38996163 + ... + 38998809.

It is an arithmetic number, because the mean of its divisors is an integer number (2572247340).

Almost surely, 2103226345442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103226345442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123467872320).

103226345442 is an abundant number, since it is smaller than the sum of its proper divisors (143709399198).

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

103226345442 is a wasteful number, since it uses less digits than its factorization.

103226345442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4968 (or 4965 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 103226345442 its reverse (244543622301), we get a palindrome (347769967743).

The spelling of 103226345442 in words is "one hundred three billion, two hundred twenty-six million, three hundred forty-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 89 99 178 198 267 534 801 979 1602 1958 2213 2647 2937 4426 5294 5874 6639 7941 8811 13278 15882 17622 19917 23823 24343 29117 39834 47646 48686 58234 73029 87351 146058 174702 196957 219087 235583 262053 393914 438174 471166 524106 590871 706749 1181742 1413498 1772613 2120247 2166527 2591413 3545226 4240494 4333054 5182826 5857811 6499581 7774239 11715622 12999162 15548478 17573433 19498743 23322717 35146866 38997486 46645434 52720299 64435921 105440598 128871842 193307763 386615526 521345179 579923289 1042690358 1159846578 1564035537 3128071074 4692106611 5734796969 9384213222 11469593938 17204390907 34408781814 51613172721 103226345442