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1120000111020 = 2232571091814747
BaseRepresentation
bin10000010011000101001…
…101010111000110101100
310222001220201210200021100
4100103011031113012230
5121322230012023040
62214304305203100
7143626434603060
oct20230515270654
93861821720240
101120000111020
113a1a9795646a
12161091930490
13818004c15ab
143c2cb7bbaa0
151e20173eb30
hex104c53571ac

1120000111020 has 144 divisors (see below), whose sum is σ = 3886230636288. Its totient is φ = 255765064320.

The previous prime is 1120000110979. The next prime is 1120000111067. The reversal of 1120000111020 is 201110000211.

It is a happy number.

It is a super-3 number, since 3×11200001110203 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1120000110993 and 1120000111011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 967287 + ... + 1782033.

It is an arithmetic number, because the mean of its divisors is an integer number (26987712752).

Almost surely, 21120000111020 is an apocalyptic number.

1120000111020 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 1120000111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943115318144).

1120000111020 is an abundant number, since it is smaller than the sum of its proper divisors (2766230525268).

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

1120000111020 is a wasteful number, since it uses less digits than its factorization.

1120000111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815860 (or 815855 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1120000111020 its reverse (201110000211), we get a palindrome (1321110111231).

The spelling of 1120000111020 in words is "one trillion, one hundred twenty billion, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1091 1260 2182 3273 4364 5455 6546 7637 9819 10910 13092 15274 16365 19638 21820 22911 30548 32730 38185 39276 45822 49095 65460 68733 76370 91644 98190 114555 137466 152740 196380 229110 274932 343665 458220 687330 814747 1374660 1629494 2444241 3258988 4073735 4888482 5703229 7332723 8147470 9776964 11406458 12221205 14665446 16294940 17109687 22812916 24442410 28516145 29330892 34219374 36663615 48884820 51329061 57032290 68438748 73327230 85548435 102658122 114064580 146654460 171096870 205316244 256645305 342193740 513290610 888888977 1026581220 1777777954 2666666931 3555555908 4444444885 5333333862 6222222839 8000000793 8888889770 10666667724 12444445678 13333334655 16000001586 17777779540 18666668517 24888891356 26666669310 31111114195 32000003172 37333337034 40000003965 53333338620 56000005551 62222228390 74666674068 80000007930 93333342585 112000011102 124444456780 160000015860 186666685170 224000022204 280000027755 373333370340 560000055510 1120000111020