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21220122101202 = 23237521377916183
BaseRepresentation
bin1001101001100101100011…
…10101110000010111010010
32210010121211210110021020200
410310302301311300113102
510240132302224214302
6113044220045120030
74320050256534003
oct464626165602722
983117753407220
1021220122101202
11684144879a632
122468727b59016
13bac0836577ab
145350b8d731aa
1526beb63aa81c
hex134cb1d705d2

21220122101202 has 96 divisors (see below), whose sum is σ = 47325626974080. Its totient is φ = 6866750142720.

The previous prime is 21220122101201. The next prime is 21220122101261. The reversal of 21220122101202 is 20210122102212.

It is a happy number.

21220122101202 is a `hidden beast` number, since 21 + 220 + 1 + 221 + 0 + 1 + 202 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21220122101201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1311252003 + ... + 1311268185.

It is an arithmetic number, because the mean of its divisors is an integer number (492975280980).

Almost surely, 221220122101202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21220122101202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23662813487040).

21220122101202 is an abundant number, since it is smaller than the sum of its proper divisors (26105504872878).

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

21220122101202 is a wasteful number, since it uses less digits than its factorization.

21220122101202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20528 (or 20525 counting only the distinct ones).

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

Adding to 21220122101202 its reverse (20210122102212), we get a palindrome (41430244203414).

The spelling of 21220122101202 in words is "twenty-one trillion, two hundred twenty billion, one hundred twenty-two million, one hundred one thousand, two hundred two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 521 666 1042 1563 3126 3779 4689 7558 9378 11337 16183 19277 22674 32366 34011 38554 48549 57831 68022 97098 115662 139823 145647 173493 279646 291294 346986 419469 598771 838938 1197542 1258407 1796313 1968859 2516814 3592626 3937718 5388939 5906577 8431343 10777878 11813154 16862686 17719731 25294029 35439462 50588058 61155557 72847783 75882087 122311114 145695566 151764174 183466671 218543349 311959691 366933342 437086698 550400013 623919382 655630047 935879073 1100800026 1311260094 1871758146 2262755609 2807637219 4525511218 5615274438 6788266827 13576533654 20364800481 31862045197 40729600962 63724090394 95586135591 191172271182 286758406773 573516813546 1178895672289 2357791344578 3536687016867 7073374033734 10610061050601 21220122101202