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103012241104014 = 231129311500934549
BaseRepresentation
bin10111011011000001101000…
…000010011101110010001110
3111111201212121012101022121120
4113123001220002131302032
5102000223032210312024
61003031100435341410
730461250236104254
oct2733015002356216
9444655535338546
10103012241104014
112a906278641540
12b678567151866
134563021a56b58
141b61b677685d4
15bd98b8a0c479
hex5db06809dc8e

103012241104014 has 128 divisors (see below), whose sum is σ = 233305038720000. Its totient is φ = 30035644262400.

The previous prime is 103012241104013. The next prime is 103012241104051. The reversal of 103012241104014 is 410401142210301.

It is a happy number.

It is a super-2 number, since 2×1030122411040142 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103012241104013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2981610012 + ... + 2981644560.

It is an arithmetic number, because the mean of its divisors is an integer number (1822695615000).

Almost surely, 2103012241104014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103012241104014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116652519360000).

103012241104014 is an abundant number, since it is smaller than the sum of its proper divisors (130292797615986).

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

103012241104014 is a wasteful number, since it uses less digits than its factorization.

103012241104014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39914.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 103012241104014 its reverse (410401142210301), we get a palindrome (513413383314315).

The spelling of 103012241104014 in words is "one hundred three trillion, twelve billion, two hundred forty-one million, one hundred four thousand, fourteen".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 311 319 622 638 933 957 1866 1914 3421 5009 6842 9019 10018 10263 15027 18038 20526 27057 30054 34549 54114 55099 69098 99209 103647 110198 145261 165297 198418 207294 290522 297627 330594 380039 435783 595254 760078 871566 1001921 1140117 1557799 1597871 2003842 2280234 3005763 3115598 3195742 4673397 4793613 6011526 9346794 9587226 10744739 11021131 17135789 21489478 22042262 32234217 33063393 34271578 45176171 51407367 64468434 66126786 90352342 102814734 118192129 135528513 173055941 236384258 271057026 311597431 346111882 354576387 496937881 519167823 623194862 709152774 934792293 993875762 1038335646 1490813643 1869584586 1903615351 2981627286 3427571741 3807230702 5018622289 5710846053 6855143482 10037244578 10282715223 11421692106 15055866867 20565430446 30111733734 53820397651 55204845179 107640795302 110409690358 161461192953 165614535537 322922385906 331229071074 592024374161 1184048748322 1560791531879 1776073122483 3121583063758 3552146244966 4682374595637 9364749191274 17168706850669 34337413701338 51506120552007 103012241104014