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10112001002202 = 23117322325433701
BaseRepresentation
bin1001001100100110001000…
…1110100100101011011010
31022210200211201212200012010
42103021202032210223122
52311133334224032302
633301220015130350
72062365545222361
oct223114216445332
938720751780163
1010112001002202
113249525a45760
1211739348139b6
135847330909a8
1426d5cdd8c7d8
15128082a4a16c
hex932623a4ada

10112001002202 has 128 divisors (see below), whose sum is σ = 22479971254272. Its totient is φ = 3006718272000.

The previous prime is 10112001002189. The next prime is 10112001002203. The reversal of 10112001002202 is 20220010021101.

It is not an unprimeable number, because it can be changed into a prime (10112001002203) 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, 2732232952 + ... + 2732236652.

It is an arithmetic number, because the mean of its divisors is an integer number (175624775424).

Almost surely, 210112001002202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10112001002202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11239985627136).

10112001002202 is an abundant number, since it is smaller than the sum of its proper divisors (12367970252070).

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

10112001002202 is a wasteful number, since it uses less digits than its factorization.

10112001002202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6556.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10112001002202 its reverse (20220010021101), we get a palindrome (30332011023303).

The spelling of 10112001002202 in words is "ten trillion, one hundred twelve billion, one million, two thousand, two hundred two".

Divisors: 1 2 3 6 11 22 33 66 73 146 219 223 438 446 669 803 1338 1606 2409 2453 2543 3701 4818 4906 5086 7359 7402 7629 11103 14718 15258 16279 22206 27973 32558 40711 48837 55946 81422 83919 97674 122133 167838 179069 185639 244266 270173 358138 371278 537207 540346 556917 567089 810519 825323 1074414 1113834 1134178 1621038 1650646 1701267 2042029 2475969 2971903 3402534 4084058 4951938 5943806 6126087 6237979 8915709 9078553 9411643 12252174 12475958 17831418 18157106 18713937 18823286 27235659 28234929 37427874 41397497 54471318 56469858 60248579 82794994 103528073 120497158 124192491 180745737 207056146 248384982 310584219 361491474 455372467 621168438 662734369 687049939 910744934 1325468738 1366117401 1374099878 1988203107 2061149817 2098796389 2732234802 3976406214 4122299634 4197592778 6296389167 7557549329 12592778334 15115098658 22672647987 23086760279 45345295974 46173520558 69260280837 138520561674 153212136397 306424272794 459636409191 919272818382 1685333500367 3370667000734 5056000501101 10112001002202