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2002110000102 = 2332341173227267
BaseRepresentation
bin11101001000100111000…
…011100010101111100110
321002101210111011221222000
4131020213003202233212
5230300310130000402
64131431233350130
7264435103131612
oct35104703425746
97071714157860
102002110000102
117020a999a123
12284032708346
13116a4b743b44
146cc8cbc0342
153712d36cc1c
hex1d2270e2be6

2002110000102 has 128 divisors (see below), whose sum is σ = 4783318686720. Its totient is φ = 619181671680.

The previous prime is 2002110000091. The next prime is 2002110000103. The reversal of 2002110000102 is 2010000112002.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002110000103) 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, 8695873 + ... + 8923139.

It is an arithmetic number, because the mean of its divisors is an integer number (37369677240).

Almost surely, 22002110000102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002110000102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391659343360).

2002110000102 is an abundant number, since it is smaller than the sum of its proper divisors (2781208686618).

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

2002110000102 is a wasteful number, since it uses less digits than its factorization.

2002110000102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227515 (or 227509 counting only the distinct ones).

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

Adding to 2002110000102 its reverse (2010000112002), we get a palindrome (4012110112104).

The spelling of 2002110000102 in words is "two trillion, two billion, one hundred ten million, one hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 23 27 41 46 54 69 82 123 138 173 207 246 346 369 414 519 621 738 943 1038 1107 1242 1557 1886 2214 2829 3114 3979 4671 5658 7093 7958 8487 9342 11937 14186 16974 21279 23874 25461 35811 42558 50922 63837 71622 107433 127674 163139 191511 214866 227267 326278 383022 454534 489417 681801 978834 1363602 1468251 2045403 2936502 4090806 4404753 5227141 6136209 8809506 9317947 10454282 12272418 15681423 18635894 27953841 31362846 39317191 47044269 55907682 78634382 83861523 94088538 117951573 141132807 167723046 214312781 235903146 251584569 282265614 353854719 428625562 503169138 642938343 707709438 904295393 1061564157 1285876686 1612004831 1808590786 1928815029 2123128314 2712886179 3224009662 3857630058 4836014493 5425772358 5786445087 8138658537 9672028986 11572890174 14508043479 16277317074 24415975611 29016086958 37076111113 43524130437 48831951222 74152222226 87048260874 111228333339 222456666678 333685000017 667370000034 1001055000051 2002110000102