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10012111210002 = 23112947754114759
BaseRepresentation
bin1001000110110010000001…
…0101010000011000010010
31022110011000020121110121210
42101230200111100120102
52303014300432210002
633143300030200550
72052231310052406
oct221544025203022
938404006543553
1010012111210002
113210126843390
1211584b7953156
135781a435a085
14268835819106
1512568832e96c
hex91b20550612

10012111210002 has 128 divisors (see below), whose sum is σ = 23083298611200. Its totient is φ = 2866452243200.

The previous prime is 10012111209977. The next prime is 10012111210009. The reversal of 10012111210002 is 20001211121001.

It is a self number, because there is not a number n which added to its sum of digits gives 10012111210002.

It is not an unprimeable number, because it can be changed into a prime (10012111210009) 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, 678365899 + ... + 678380657.

It is an arithmetic number, because the mean of its divisors is an integer number (180338270400).

Almost surely, 210012111210002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10012111210002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11541649305600).

10012111210002 is an abundant number, since it is smaller than the sum of its proper divisors (13071187401198).

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

10012111210002 is a wasteful number, since it uses less digits than its factorization.

10012111210002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22392.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10012111210002 its reverse (20001211121001), we get a palindrome (30013322331003).

The spelling of 10012111210002 in words is "ten trillion, twelve billion, one hundred eleven million, two hundred ten thousand, two".

Divisors: 1 2 3 6 11 22 29 33 47 58 66 87 94 141 174 282 319 517 638 957 1034 1363 1551 1914 2726 3102 4089 7541 8178 14759 14993 15082 22623 29518 29986 44277 44979 45246 82951 88554 89958 162349 165902 218689 248853 324698 354427 428011 437378 487047 497706 656067 693673 708854 856022 974094 1063281 1284033 1312134 1387346 2081019 2126562 2405579 2568066 3898697 4162038 4708121 4811158 7216737 7630403 7797394 9416242 10278383 11696091 14124363 14433474 15260806 20116517 20556766 22891209 23392182 28248726 30835149 40233034 45782418 60349551 61670298 111297619 113062213 120699102 221281687 222595238 226124426 333892857 339186639 442563374 663845061 667785714 678373278 1224273809 1327690122 2448547618 3227630951 3672821427 5230988093 6455261902 7345642854 9682892853 10461976186 15692964279 19365785706 31385928558 35503940461 57540869023 71007880922 106511821383 115081738046 151698654697 172622607069 213023642766 303397309394 345245214138 455095964091 910191928182 1668685201667 3337370403334 5006055605001 10012111210002