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101030103096 = 233134113757649
BaseRepresentation
bin101111000010111011…
…1010000100000111000
3100122202221222000001020
41132011313100200320
53123402201244341
6114225041422440
710204422464346
oct1360567204070
9318687860036
10101030103096
113993494a87a
12176b693aa20
1396b10597c0
144c65ba6996
1529648b5566
hex1785dd0838

101030103096 has 128 divisors (see below), whose sum is σ = 280677096000. Its totient is φ = 30106091520.

The previous prime is 101030103089. The next prime is 101030103149. The reversal of 101030103096 is 690301030101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1723680 + ... + 1781328.

Almost surely, 2101030103096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101030103096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140338548000).

101030103096 is an abundant number, since it is smaller than the sum of its proper divisors (179646992904).

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

101030103096 is a wasteful number, since it uses less digits than its factorization.

101030103096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57849 (or 57845 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

Adding to 101030103096 its reverse (690301030101), we get a palindrome (791331133197).

The spelling of 101030103096 in words is "one hundred one billion, thirty million, one hundred three thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 137 156 164 246 274 312 328 411 492 533 548 822 984 1066 1096 1599 1644 1781 2132 3198 3288 3562 4264 5343 5617 6396 7124 10686 11234 12792 14248 16851 21372 22468 33702 42744 44936 57649 67404 73021 115298 134808 146042 172947 219063 230596 292084 345894 438126 461192 584168 691788 749437 876252 1383576 1498874 1752504 2248311 2363609 2997748 4496622 4727218 5995496 7090827 7897913 8993244 9454436 14181654 15795826 17986488 18908872 23693739 28363308 30726917 31591652 47387478 56726616 61453834 63183304 92180751 94774956 102672869 122907668 184361502 189549912 205345738 245815336 308018607 323814433 368723004 410691476 616037214 647628866 737446008 821382952 971443299 1232074428 1295257732 1942886598 2464148856 2590515464 3885773196 4209587629 7771546392 8419175258 12628762887 16838350516 25257525774 33676701032 50515051548 101030103096