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122300030220 = 22355383463363
BaseRepresentation
bin111000111100110100…
…1100101110100001100
3102200200022002020210220
41301321221211310030
54000432301431340
6132103414031340
711556465050604
oct1617151456414
9380608066726
10122300030220
114795a1a6945
121b852048550
13b6c08701b4
145cc29c1c04
1532abd80ed0
hex1c79a65d0c

122300030220 has 96 divisors (see below), whose sum is σ = 353105609472. Its totient is φ = 31612409088.

The previous prime is 122300030219. The next prime is 122300030249. The reversal of 122300030220 is 22030003221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122300030220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32259 + ... + 495621.

It is an arithmetic number, because the mean of its divisors is an integer number (3678183432).

Almost surely, 2122300030220 is an apocalyptic number.

122300030220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122300030220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176552804736).

122300030220 is an abundant number, since it is smaller than the sum of its proper divisors (230805579252).

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

122300030220 is a wasteful number, since it uses less digits than its factorization.

122300030220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463511 (or 463509 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 122300030220 its reverse (22030003221), we get a palindrome (144330033441).

The spelling of 122300030220 in words is "one hundred twenty-two billion, three hundred million, thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 83 106 159 166 212 249 265 318 332 415 498 530 636 795 830 996 1060 1245 1590 1660 2490 3180 4399 4980 8798 13197 17596 21995 26394 43990 52788 65985 87980 131970 263940 463363 926726 1390089 1853452 2316815 2780178 4633630 5560356 6950445 9267260 13900890 24558239 27801780 38459129 49116478 73674717 76918258 98232956 115377387 122791195 147349434 153836516 192295645 230754774 245582390 294698868 368373585 384591290 461509548 491164780 576886935 736747170 769182580 1153773870 1473494340 2038333837 2307547740 4076667674 6115001511 8153335348 10191669185 12230003022 20383338370 24460006044 30575007555 40766676740 61150015110 122300030220