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11222210010102 = 23713371560735593
BaseRepresentation
bin1010001101001101111111…
…0101110101101111110110
31110201211111002222202222120
42203103133311311233312
52432331041230310402
635511225003140410
72235530553124350
oct243233765655766
943654432882876
1011222210010102
113637348a96463
121312b33514706
13635332c45830
142ab22d2640d0
15146dae8e23bc
hexa34dfd75bf6

11222210010102 has 128 divisors (see below), whose sum is σ = 28373108434944. Its totient is φ = 2879446330368.

The previous prime is 11222210010079. The next prime is 11222210010127. The reversal of 11222210010102 is 20101001222211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 315274818 + ... + 315310410.

It is an arithmetic number, because the mean of its divisors is an integer number (221664909648).

Almost surely, 211222210010102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11222210010102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14186554217472).

11222210010102 is an abundant number, since it is smaller than the sum of its proper divisors (17150898424842).

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

11222210010102 is a wasteful number, since it uses less digits than its factorization.

11222210010102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51262.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11222210010102 its reverse (20101001222211), we get a palindrome (31323211232313).

The spelling of 11222210010102 in words is "eleven trillion, two hundred twenty-two billion, two hundred ten million, ten thousand, one hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 182 222 259 273 481 518 546 777 962 1443 1554 2886 3367 6734 10101 15607 20202 31214 35593 46821 71186 93642 106779 109249 202891 213558 218498 249151 327747 405782 462709 498302 577459 608673 655494 747453 925418 1154918 1217346 1316941 1388127 1420237 1494906 1732377 2633882 2776254 2840474 3238963 3464754 3950823 4042213 4260711 6477926 7506967 7901646 8084426 8521422 9218587 9716889 12126639 15013934 17120233 18437174 19433778 22520901 24253278 27655761 34240466 45041802 51360699 52548769 55311522 102721398 105097538 119841631 157646307 239683262 315292614 359524893 555499951 719049786 1110999902 1666499853 3332999706 3888499657 7221499363 7776999314 11665498971 14442998726 20553498187 21664498089 23330997942 41106996374 43328996178 50550495541 61660494561 101100991082 123320989122 143874487309 151651486623 267195476431 287748974618 303302973246 431623461927 534390952862 801586429293 863246923854 1603172858586 1870368335017 3740736670034 5611105005051 11222210010102