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10212221201022 = 2323723371229743
BaseRepresentation
bin1001010010011011011111…
…0100010010101001111110
31100011021112020212021102200
42110212313310102221332
52314304112111413042
633415232445532330
72102544234653061
oct224466764225176
940137466767380
1010212221201022
113287a846aa455
12118b2442740a6
135910153aa499
142743ba36c8d8
1512a99b27dc4c
hex949b7d12a7e

10212221201022 has 72 divisors (see below), whose sum is σ = 22808152969056. Its totient is φ = 3302240949504.

The previous prime is 10212221200997. The next prime is 10212221201057. The reversal of 10212221201022 is 22010212221201.

It is a happy number.

10212221201022 is a `hidden beast` number, since 10 + 212 + 221 + 201 + 0 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10212221200986 and 10212221201004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7689483 + ... + 8919225.

It is an arithmetic number, because the mean of its divisors is an integer number (316779902348).

Almost surely, 210212221201022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212221201022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11404076484528).

10212221201022 is an abundant number, since it is smaller than the sum of its proper divisors (12595931768034).

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

10212221201022 is a wasteful number, since it uses less digits than its factorization.

10212221201022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230162 (or 1230122 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10212221201022 its reverse (22010212221201), we get a palindrome (32222433422223).

The spelling of 10212221201022 in words is "ten trillion, two hundred twelve billion, two hundred twenty-one million, two hundred one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 337 666 674 1011 1369 2022 2738 3033 4107 6066 8214 12321 12469 24642 24938 37407 74814 112221 224442 461353 922706 1229743 1384059 2459486 2768118 3689229 4152177 7378458 8304354 11067687 22135374 45500491 91000982 136501473 273002946 409504419 414423391 819008838 828846782 1243270173 1683518167 2486540346 3367036334 3729810519 5050554501 7459621038 10101109002 15151663503 15333665467 30303327006 30667330934 46000996401 92001992802 138002989203 276005978406 567345622279 1134691244558 1702036866837 3404073733674 5106110600511 10212221201022