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2102202200010 = 23511157118734183
BaseRepresentation
bin11110100101110101000…
…000111110111111001010
321102222011002022112201010
4132211311000332333022
5233420302230400020
64245423252504350
7304610346604533
oct36456500767712
97388132275633
102102202200010
117405a23793a0
1229b50731b0b6
13123310395933
1473a661a168a
1539a3a71ade0
hex1e97503efca

2102202200010 has 128 divisors (see below), whose sum is σ = 5543833135104. Its totient is φ = 505937352960.

The previous prime is 2102202199873. The next prime is 2102202200011. The reversal of 2102202200010 is 100022022012.

It is not an unprimeable number, because it can be changed into a prime (2102202200011) 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, 61481379 + ... + 61515561.

It is an arithmetic number, because the mean of its divisors is an integer number (43311196368).

Almost surely, 22102202200010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102202200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771916567552).

2102202200010 is an abundant number, since it is smaller than the sum of its proper divisors (3441630935094).

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

2102202200010 is a wasteful number, since it uses less digits than its factorization.

2102202200010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35548.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2102202200010 its reverse (100022022012), we get a palindrome (2202224222022).

The spelling of 2102202200010 in words is "two trillion, one hundred two billion, two hundred two million, two hundred thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 157 165 314 330 471 785 942 1187 1570 1727 2355 2374 3454 3561 4710 5181 5935 7122 8635 10362 11870 13057 17270 17805 25905 26114 34183 35610 39171 51810 65285 68366 78342 102549 130570 170915 186359 195855 205098 341830 372718 376013 391710 512745 559077 752026 931795 1025490 1118154 1128039 1863590 1880065 2049949 2256078 2795385 3760130 4099898 5366731 5590770 5640195 6149847 10249745 10733462 11280390 12299694 16100193 20499490 26833655 30749235 32200386 40575221 53667310 59034041 61498470 80500965 81150442 118068082 121725663 161001930 177102123 202876105 243451326 295170205 354204246 405752210 446327431 590340410 608628315 885510615 892654862 1217256630 1338982293 1771021230 2231637155 2677964586 4463274310 6370309697 6694911465 12740619394 13389822930 19110929091 31851548485 38221858182 63703096970 70073406667 95554645455 140146813334 191109290910 210220220001 350367033335 420440440002 700734066670 1051101100005 2102202200010