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103021102232301 = 311793731009104999
BaseRepresentation
bin10111011011001001111000…
…001100111111001011101101
3111111202201110202011021110010
4113123021320030333023231
5102000344204132413201
61003035124020203433
730462012644334441
oct2733117014771355
9444681422137403
10103021102232301
112a90a005501360
12b67a21a839579
134563b04803526
141b62368550821
15bd9c36906bd6
hex5db27833f2ed

103021102232301 has 64 divisors (see below), whose sum is σ = 152304768000000. Its totient is φ = 61419898874880.

The previous prime is 103021102232299. The next prime is 103021102232327. The reversal of 103021102232301 is 103232201120301.

It is not a de Polignac number, because 103021102232301 - 21 = 103021102232299 is a prime.

It is a super-3 number, since 3×1030211022323013 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103021102232101) 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, 981110200 + ... + 981215198.

It is an arithmetic number, because the mean of its divisors is an integer number (2379762000000).

Almost surely, 2103021102232301 is an apocalyptic number.

103021102232301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103021102232301 is a deficient number, since it is larger than the sum of its proper divisors (49283665767699).

103021102232301 is a wasteful number, since it uses less digits than its factorization.

103021102232301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106474.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 103021102232301 its reverse (103232201120301), we get a palindrome (206253303352602).

The spelling of 103021102232301 in words is "one hundred three trillion, twenty-one billion, one hundred two million, two hundred thirty-two thousand, three hundred one".

Divisors: 1 3 11 33 79 237 373 869 1009 1119 2607 3027 4103 11099 12309 29467 33297 79711 88401 104999 239133 314997 324137 376357 876821 972411 1129071 1154989 2630463 3464967 4139927 8294921 12419781 24884763 29732203 39164627 89196609 91244131 105943991 117493881 273732393 317831973 327054233 430810897 981162699 1165383901 1292432691 3094005533 3496151703 8369575289 9282016599 25108725867 34034060863 39517108643 92065328179 102102182589 118551325929 276195984537 434688195073 1304064585219 3121851582797 9365554748391 34340367410767 103021102232301