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2110000102002 = 2331341431704877
BaseRepresentation
bin11110101101000101110…
…011100111101001110010
321110201021112110000021000
4132231011303213221302
5234032240011231002
64253153132542430
7305304524641632
oct36550563475162
97421245400230
102110000102002
117439340605a1
122a0b22921a16
13123c83a98820
14741a5a9c6c2
1539d450e561c
hex1eb45ce7a72

2110000102002 has 128 divisors (see below), whose sum is σ = 5293032433920. Its totient is φ = 618665402880.

The previous prime is 2110000101953. The next prime is 2110000102057. The reversal of 2110000102002 is 2002010000112.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 385188 + ... + 2090064.

It is an arithmetic number, because the mean of its divisors is an integer number (41351815890).

Almost surely, 22110000102002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110000102002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646516216960).

2110000102002 is an abundant number, since it is smaller than the sum of its proper divisors (3183032331918).

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

2110000102002 is a wasteful number, since it uses less digits than its factorization.

2110000102002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704985 (or 1704979 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2110000102002 its reverse (2002010000112), we get a palindrome (4112010102114).

The spelling of 2110000102002 in words is "two trillion, one hundred ten billion, one hundred two thousand, two".

Divisors: 1 2 3 6 9 13 18 26 27 39 41 43 54 78 82 86 117 123 129 234 246 258 351 369 387 533 559 702 738 774 1066 1107 1118 1161 1599 1677 1763 2214 2322 3198 3354 3526 4797 5031 5289 9594 10062 10578 14391 15093 15867 22919 28782 30186 31734 45838 47601 68757 95202 137514 206271 412542 618813 1237626 1704877 3409754 5114631 10229262 15343893 22163401 30687786 44326802 46031679 66490203 69899957 73309711 92063358 132980406 139799914 146619422 199470609 209699871 219929133 398941218 419399742 439858266 598411827 629099613 659787399 908699441 953026243 1196823654 1258199226 1319574798 1817398882 1887298839 1906052486 1979362197 2726098323 2859078729 3005698151 3774597678 3958724394 5452196646 5718157458 6011396302 8178294969 8577236187 9017094453 16356589938 17154472374 18034188906 24534884907 25731708561 27051283359 39074075963 49069769814 51463417122 54102566718 78148151926 81153850077 117222227889 162307700154 234444455778 351666683667 703333367334 1055000051001 2110000102002