Search a number
-
+
2100220120020 = 2235119901321397
BaseRepresentation
bin11110100011111110110…
…111111100101111010100
321102210000221200110010010
4132203332313330233110
5233402222322320040
64244454450000220
7304510261316631
oct36437667745724
97383027613103
102100220120020
1173a775561360
1229b053576070
13123085854039
1473918c4d188
15399716e7e80
hex1e8fedfcbd4

2100220120020 has 96 divisors (see below), whose sum is σ = 6415885719936. Its totient is φ = 509091264000.

The previous prime is 2100220119967. The next prime is 2100220120111. The reversal of 2100220120020 is 200210220012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2100220119978 and 2100220120005.

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, 6373962 + ... + 6695358.

It is an arithmetic number, because the mean of its divisors is an integer number (66832142916).

Almost surely, 22100220120020 is an apocalyptic number.

2100220120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100220120020 is an abundant number, since it is smaller than the sum of its proper divisors (4315665599916).

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

2100220120020 is a wasteful number, since it uses less digits than its factorization.

2100220120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331321 (or 331319 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2100220120020 its reverse (200210220012), we get a palindrome (2300430340032).

The spelling of 2100220120020 in words is "two trillion, one hundred billion, two hundred twenty million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 9901 19802 29703 39604 49505 59406 99010 108911 118812 148515 198020 217822 297030 321397 326733 435644 544555 594060 642794 653466 964191 1089110 1285588 1306932 1606985 1633665 1928382 2178220 3213970 3267330 3535367 3856764 4820955 6427940 6534660 7070734 9641910 10606101 14141468 17676835 19283820 21212202 35353670 42424404 53030505 70707340 106061010 212122020 3182151697 6364303394 9546455091 12728606788 15910758485 19092910182 31821516970 35003668667 38185820364 47732275455 63643033940 70007337334 95464550910 105011006001 140014674668 175018343335 190929101820 210022012002 350036686670 420044024004 525055030005 700073373340 1050110060010 2100220120020