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122022303322230 = 23353785714252561
BaseRepresentation
bin11011101111101010001000…
…000010110101000001110110
3121000001012220010021001021000
4123233222020002311001312
5111443203134122302410
61111304134451304130
734462551266615253
oct3357521002650166
9530035803231230
10122022303322230
1135975406124103
12118288a65ab046
13531186660501c
14221bca7a9a42a
15e191306c9dc0
hex6efa880b5076

122022303322230 has 128 divisors (see below), whose sum is σ = 334577182642560. Its totient is φ = 31622896005120.

The previous prime is 122022303322219. The next prime is 122022303322301. The reversal of 122022303322230 is 32223303220221.

122022303322230 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 2 + 2 + 303 + 322 + 2 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 122022303322194 and 122022303322203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1435150 + ... + 15687710.

It is an arithmetic number, because the mean of its divisors is an integer number (2613884239395).

Almost surely, 2122022303322230 is an apocalyptic number.

122022303322230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122022303322230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167288591321280).

122022303322230 is an abundant number, since it is smaller than the sum of its proper divisors (212554879320330).

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

122022303322230 is a wasteful number, since it uses less digits than its factorization.

122022303322230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14253471 (or 14253465 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 122022303322230 its reverse (32223303220221), we get a palindrome (154245606542451).

The spelling of 122022303322230 in words is "one hundred twenty-two trillion, twenty-two billion, three hundred three million, three hundred twenty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 185 222 270 333 370 555 666 857 999 1110 1665 1714 1998 2571 3330 4285 4995 5142 7713 8570 9990 12855 15426 23139 25710 31709 38565 46278 63418 77130 95127 115695 158545 190254 231390 285381 317090 475635 570762 856143 951270 1426905 1712286 2853810 4280715 8561430 14252561 28505122 42757683 71262805 85515366 128273049 142525610 213788415 256546098 384819147 427576830 527344757 641365245 769638294 1054689514 1282730490 1582034271 1924095735 2636723785 3164068542 3848191470 4746102813 5273447570 7910171355 9492205626 12214444777 14238308439 15820342710 23730514065 24428889554 28476616878 36643334331 47461028130 61072223885 71191542195 73286668662 109930002993 122144447770 142383084390 183216671655 219860005986 329790008979 366433343310 451934456749 549650014965 659580017958 903868913498 1099300029930 1355803370247 1648950044895 2259672283745 2711606740494 3297900089790 4067410110741 4519344567490 6779016851235 8134820221482 12202230332223 13558033702470 20337050553705 24404460664446 40674101107410 61011151661115 122022303322230