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122113303000 = 23531359159209
BaseRepresentation
bin111000110111010000…
…1010010000111011000
3102200012021201112012221
41301232201102013120
54000042001144000
6132033103513424
711552036643433
oct1615641220730
9380167645187
10122113303000
1147873859a27
121b7bb5b8874
13b690c82310
145ca5c9681a
15329a79961a
hex1c6e8521d8

122113303000 has 128 divisors (see below), whose sum is σ = 312943176000. Its totient is φ = 44323507200.

The previous prime is 122113302959. The next prime is 122113303033. The reversal of 122113303000 is 303311221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 687396 + ... + 846604.

Almost surely, 2122113303000 is an apocalyptic number.

122113303000 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 122113303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156471588000).

122113303000 is an abundant number, since it is smaller than the sum of its proper divisors (190829873000).

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

122113303000 is a wasteful number, since it uses less digits than its factorization.

122113303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159302 (or 159288 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 122113303000 its reverse (303311221), we get a palindrome (122416614221).

The spelling of 122113303000 in words is "one hundred twenty-two billion, one hundred thirteen million, three hundred three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 59 65 100 104 118 125 130 200 236 250 260 295 325 472 500 520 590 650 767 1000 1180 1300 1475 1534 1625 2360 2600 2950 3068 3250 3835 5900 6136 6500 7375 7670 11800 13000 14750 15340 19175 29500 30680 38350 59000 76700 95875 153400 159209 191750 318418 383500 636836 767000 796045 1273672 1592090 2069717 3184180 3980225 4139434 6368360 7960450 8278868 9393331 10348585 15920900 16557736 18786662 19901125 20697170 31841800 37573324 39802250 41394340 46966655 51742925 75146648 79604500 82788680 93933310 103485850 122113303 159209000 187866620 206971700 234833275 244226606 258714625 375733240 413943400 469666550 488453212 517429250 610566515 939333100 976906424 1034858500 1174166375 1221133030 1878666200 2069717000 2348332750 2442266060 3052832575 4696665500 4884532120 6105665150 9393331000 12211330300 15264162875 24422660600 30528325750 61056651500 122113303000