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2102111220 = 22351122312589
BaseRepresentation
bin111110101001011…
…1010101111110100
312102111111022111010
41331102322233310
513301120024340
6544331312220
7103043436066
oct17522725764
95374438433
102102111220
11989650300
124a7bab670
13276679ac1
1415d279736
15c4832b80
hex7d4babf4

2102111220 has 144 divisors (see below), whose sum is σ = 6751463040. Its totient is φ = 487407360.

The previous prime is 2102111191. The next prime is 2102111267. The reversal of 2102111220 is 221112012.

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 = 2102111196 and 2102111205.

It is a congruent number.

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, 160686 + ... + 173274.

It is an arithmetic number, because the mean of its divisors is an integer number (46885160).

Almost surely, 22102111220 is an apocalyptic number.

2102111220 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 2102111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3375731520).

2102111220 is an abundant number, since it is smaller than the sum of its proper divisors (4649351820).

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

2102111220 is a wasteful number, since it uses less digits than its factorization.

2102111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12646 (or 12633 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2102111220 is about 45848.7864615848. The cubic root of 2102111220 is about 1281.0081616289.

Adding to 2102111220 its reverse (221112012), we get a palindrome (2323223232).

The spelling of 2102111220 in words is "two billion, one hundred two million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 121 132 138 165 220 230 242 253 276 330 345 363 460 484 506 605 660 690 726 759 1012 1210 1265 1380 1452 1518 1815 2420 2530 2783 3036 3630 3795 5060 5566 7260 7590 8349 11132 12589 13915 15180 16698 25178 27830 33396 37767 41745 50356 55660 62945 75534 83490 125890 138479 151068 166980 188835 251780 276958 289547 377670 415437 553916 579094 692395 755340 830874 868641 1158188 1384790 1447735 1523269 1661748 1737282 2077185 2769580 2895470 3046538 3185017 3474564 4154370 4343205 4569807 5790940 6093076 6370034 7616345 8308740 8686410 9139614 9555051 12740068 15232690 15925085 17372820 18279228 19110102 22849035 30465380 31850170 35035187 38220204 45698070 47775255 63700340 70070374 91396140 95550510 105105561 140140748 175175935 191101020 210211122 350351870 420422244 525527805 700703740 1051055610 2102111220