Search a number
-
+
2020220232120 = 233454331440011
BaseRepresentation
bin11101011001011110100…
…000100110000110111000
321011010112121210001220000
4131121132200212012320
5231044402334411440
64144024254433000
7265645640433066
oct35313640460670
97133477701800
102020220232120
11709852721522
12287647802760
1311867675b26c
146daca103036
153783d24c730
hex1d65e8261b8

2020220232120 has 160 divisors (see below), whose sum is σ = 6805871115120. Its totient is φ = 537480852480.

The previous prime is 2020220232047. The next prime is 2020220232133. The reversal of 2020220232120 is 212320220202.

2020220232120 is a `hidden beast` number, since 202 + 0 + 220 + 232 + 12 + 0 = 666.

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 = 2020220232093 and 2020220232102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 682915 + ... + 2122925.

Almost surely, 22020220232120 is an apocalyptic number.

2020220232120 is a gapful number since it is divisible by the number (20) 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 2020220232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402935557560).

2020220232120 is an abundant number, since it is smaller than the sum of its proper divisors (4785650883000).

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

2020220232120 is a wasteful number, since it uses less digits than its factorization.

2020220232120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440467 (or 1440454 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2020220232120 its reverse (212320220202), we get a palindrome (2232540452322).

The spelling of 2020220232120 in words is "two trillion, twenty billion, two hundred twenty million, two hundred thirty-two thousand, one 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 81 90 108 120 135 162 180 216 270 324 360 405 433 540 648 810 866 1080 1299 1620 1732 2165 2598 3240 3464 3897 4330 5196 6495 7794 8660 10392 11691 12990 15588 17320 19485 23382 25980 31176 35073 38970 46764 51960 58455 70146 77940 93528 116910 140292 155880 175365 233820 280584 350730 467640 701460 1402920 1440011 2880022 4320033 5760044 7200055 8640066 11520088 12960099 14400110 17280132 21600165 25920198 28800220 34560264 38880297 43200330 51840396 57600440 64800495 77760594 86400660 103680792 116640891 129600990 155521188 172801320 194401485 233281782 259201980 311042376 388802970 466563564 518403960 583204455 623524763 777605940 933127128 1166408910 1247049526 1555211880 1870574289 2332817820 2494099052 3117623815 3741148578 4665635640 4988198104 5611722867 6235247630 7482297156 9352871445 11223445734 12470495260 14964594312 16835168601 18705742890 22446891468 24940990520 28058614335 33670337202 37411485780 44893782936 50505505803 56117228670 67340674404 74822971560 84175843005 101011011606 112234457340 134681348808 168351686010 202022023212 224468914680 252527529015 336703372020 404044046424 505055058030 673406744040 1010110116060 2020220232120