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122303021220 = 223253718363817
BaseRepresentation
bin111000111100111010…
…1000000000010100100
3102200200111201012200200
41301321311000002210
54000434033134340
6132104002110500
711556532345662
oct1617165000244
9380614635620
10122303021220
114796095a046
121b85304b430
13b6c1379713
145cc315dc32
1532ac272330
hex1c79d400a4

122303021220 has 72 divisors (see below), whose sum is σ = 381012495864. Its totient is φ = 31732674048.

The previous prime is 122303021189. The next prime is 122303021263. The reversal of 122303021220 is 22120303221.

122303021220 is a `hidden beast` number, since 12 + 230 + 302 + 122 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30173774436 + 92129246784 = 173706^2 + 303528^2 .

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 = 122303021193 and 122303021202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9175249 + ... + 9188568.

Almost surely, 2122303021220 is an apocalyptic number.

122303021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122303021220 is an abundant number, since it is smaller than the sum of its proper divisors (258709474644).

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

122303021220 is a wasteful number, since it uses less digits than its factorization.

122303021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18363869 (or 18363864 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 122303021220 its reverse (22120303221), we get a palindrome (144423324441).

The spelling of 122303021220 in words is "one hundred twenty-two billion, three hundred three million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 18363817 36727634 55091451 73455268 91819085 110182902 165274353 183638170 220365804 275457255 330548706 367276340 550914510 661097412 679461229 826371765 1101829020 1358922458 1652743530 2038383687 2717844916 3305487060 3397306145 4076767374 6115151061 6794612290 8153534748 10191918435 12230302122 13589224580 20383836870 24460604244 30575755305 40767673740 61151510610 122303021220