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111302010020 = 22517311132827
BaseRepresentation
bin110011110101000011…
…1011110010010100100
3101122021211100221100102
41213222013132102210
53310421303310040
6123044220203232
711020111322015
oct1475207362244
9348254327312
10111302010020
11432260a0553
12196a2999518
13a65a189a36
14555c0a900c
152d66583515
hex19ea1de4a4

111302010020 has 144 divisors (see below), whose sum is σ = 258059063808. Its totient is φ = 40142807040.

The previous prime is 111302009977. The next prime is 111302010041. The reversal of 111302010020 is 20010203111.

It is a junction number, because it is equal to n+sod(n) for n = 111302009983 and 111302010010.

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 47 ways as a sum of consecutive naturals, for example, 134584847 + ... + 134585673.

It is an arithmetic number, because the mean of its divisors is an integer number (1792076832).

Almost surely, 2111302010020 is an apocalyptic number.

111302010020 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 111302010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129029531904).

111302010020 is an abundant number, since it is smaller than the sum of its proper divisors (146757053788).

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

111302010020 is a wasteful number, since it uses less digits than its factorization.

111302010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 111302010020 its reverse (20010203111), we get a palindrome (131312213131).

The spelling of 111302010020 in words is "one hundred eleven billion, three hundred two million, ten thousand, twenty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 113 124 155 170 226 310 340 452 527 565 620 827 1054 1130 1654 1921 2108 2260 2635 3308 3503 3842 4135 5270 7006 7684 8270 9605 10540 12769 14012 14059 16540 17515 19210 25538 25637 28118 35030 38420 51076 51274 56236 59551 63845 70060 70295 93451 102548 119102 127690 128185 140590 186902 217073 238204 255380 256370 281180 297755 373804 395839 434146 435829 467255 512740 595510 791678 868292 871658 934510 1085365 1191020 1583356 1588667 1743316 1869020 1979195 2170730 2179145 2896981 3177334 3958390 4341460 4358290 5793962 6354668 6729263 7916780 7943335 8716580 10559963 11587924 13458526 14484905 15886670 21119926 26917052 28969810 31773340 33646315 42239852 49248677 52799815 57939620 67292630 98497354 105599630 134585260 179519371 196994708 211199260 246243385 327358853 359038742 492486770 654717706 718077484 897596855 984973540 1309435412 1636794265 1795193710 3273588530 3590387420 5565100501 6547177060 11130201002 22260402004 27825502505 55651005010 111302010020