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122030311320 = 23335269420041
BaseRepresentation
bin111000110100110010…
…0101100011110011000
3102122222111120010001000
41301221210230132120
53444404224430240
6132020541025000
711550011350251
oct1615144543630
9378874503030
10122030311320
1147830a25065
121b797855160
13b679a15308
145c98c51b28
153293354430
hex1c6992c798

122030311320 has 128 divisors (see below), whose sum is σ = 408280824000. Its totient is φ = 32420367360.

The previous prime is 122030311283. The next prime is 122030311409. The reversal of 122030311320 is 23113030221.

122030311320 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 30 + 311 + 320 = 666.

It is a super-2 number, since 2×1220303113202 (a number of 23 digits) contains 22 as substring.

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 = 122030311293 and 122030311302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80500 + ... + 500540.

Almost surely, 2122030311320 is an apocalyptic number.

122030311320 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 122030311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204140412000).

122030311320 is an abundant number, since it is smaller than the sum of its proper divisors (286250512680).

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

122030311320 is a wasteful number, since it uses less digits than its factorization.

122030311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420330 (or 420320 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 122030311320 its reverse (23113030221), we get a palindrome (145143341541).

The spelling of 122030311320 in words is "one hundred twenty-two billion, thirty million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 269 270 360 538 540 807 1076 1080 1345 1614 2152 2421 2690 3228 4035 4842 5380 6456 7263 8070 9684 10760 12105 14526 16140 19368 24210 29052 32280 36315 48420 58104 72630 96840 145260 290520 420041 840082 1260123 1680164 2100205 2520246 3360328 3780369 4200410 5040492 6300615 7560738 8400820 10080984 11341107 12601230 15121476 16801640 18901845 22682214 25202460 30242952 37803690 45364428 50404920 56705535 75607380 90728856 112991029 113411070 151214760 225982058 226822140 338973087 451964116 453644280 564955145 677946174 903928232 1016919261 1129910290 1355892348 1694865435 2033838522 2259820580 2711784696 3050757783 3389730870 4067677044 4519641160 5084596305 6101515566 6779461740 8135354088 10169192610 12203031132 13558923480 15253788915 20338385220 24406062264 30507577830 40676770440 61015155660 122030311320