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103414104102 = 233141611311697
BaseRepresentation
bin110000001001111110…
…1100000000000100110
3100212221002212210121210
41200103331200000212
53143243002312402
6115301403052250
710320461244531
oct1402375400046
9325832783553
10103414104102
113a948625041
1218061211086
1399a0c3319a
14501065da18
152a53d2b06c
hex1813f60026

103414104102 has 128 divisors (see below), whose sum is σ = 224121655296. Its totient is φ = 31749120000.

The previous prime is 103414104011. The next prime is 103414104103. The reversal of 103414104102 is 201401414301.

It is a super-3 number, since 3×1034141041023 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103414104103) 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, 60938518 + ... + 60940214.

It is an arithmetic number, because the mean of its divisors is an integer number (1750950432).

Almost surely, 2103414104102 is an apocalyptic number.

103414104102 is an abundant number, since it is smaller than the sum of its proper divisors (120707551194).

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

103414104102 is a wasteful number, since it uses less digits than its factorization.

103414104102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 103414104102 its reverse (201401414301), we get a palindrome (304815518403).

The spelling of 103414104102 in words is "one hundred three billion, four hundred fourteen million, one hundred four thousand, one hundred two".

Divisors: 1 2 3 6 31 41 61 62 82 93 122 123 131 183 186 246 262 366 393 786 1271 1697 1891 2501 2542 3394 3782 3813 4061 5002 5091 5371 5673 7503 7626 7991 8122 10182 10742 11346 12183 15006 15982 16113 23973 24366 32226 47946 52607 69577 77531 103517 105214 139154 155062 157821 166501 207034 208731 222307 232593 247721 310551 315642 327631 333002 417462 444614 465186 495442 499503 621102 655262 666921 743163 982893 999006 1333842 1486326 1965786 2156887 3209027 4244197 4313774 6418054 6470661 6891517 8488394 9114587 9627081 10156561 12732591 12941322 13560727 13783034 18229174 19254162 20313122 20674551 25465182 27121454 27343761 30469683 40682181 41349102 54687522 60939366 81364362 131570107 263140214 282552197 394710321 420382537 555989807 565104394 789420642 840765074 847656591 1111979614 1261147611 1667969421 1695313182 2522295222 3335938842 17235684017 34471368034 51707052051 103414104102