Search a number
-
+
101112222202020 = 223252416833412663
BaseRepresentation
bin10110111111011000000110…
…000101100011100010100100
3111021000020022121121111020100
4112333120012011203202210
5101223110312340431040
6555014151424304100
730204055060650651
oct2677300605434244
9437006277544210
10101112222202020
112a2434a8496477
12b410286772030
134455ac3114803
141ad7c01618c28
15ba5263283b30
hex5bf6061638a4

101112222202020 has 144 divisors (see below), whose sum is σ = 308430729839232. Its totient is φ = 26812056775680.

The previous prime is 101112222202009. The next prime is 101112222202037. The reversal of 101112222202020 is 20202222211101.

It is a happy number.

101112222202020 is a `hidden beast` number, since 10 + 1 + 11 + 222 + 220 + 202 + 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 = 101112222201984 and 101112222202002.

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, 27922209 + ... + 31334871.

It is an arithmetic number, because the mean of its divisors is an integer number (2141880068328).

Almost surely, 2101112222202020 is an apocalyptic number.

101112222202020 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 101112222202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154215364919616).

101112222202020 is an abundant number, since it is smaller than the sum of its proper divisors (207318507637212).

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

101112222202020 is a wasteful number, since it uses less digits than its factorization.

101112222202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3413602 (or 3413597 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101112222202020 its reverse (20202222211101), we get a palindrome (121314444413121).

The spelling of 101112222202020 in words is "one hundred one trillion, one hundred twelve billion, two hundred twenty-two million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 241 482 683 723 964 1205 1366 1446 2049 2169 2410 2732 2892 3415 3615 4098 4338 4820 6147 6830 7230 8196 8676 10245 10845 12294 13660 14460 20490 21690 24588 30735 40980 43380 61470 122940 164603 329206 493809 658412 823015 987618 1481427 1646030 1975236 2469045 2962854 3292060 3412663 4938090 5925708 6825326 7407135 9876180 10237989 13650652 14814270 17063315 20475978 29628540 30713967 34126630 40951956 51189945 61427934 68253260 102379890 122855868 153569835 204759780 307139670 614279340 822451783 1644903566 2330848829 2467355349 3289807132 4112258915 4661697658 4934710698 6992546487 7402066047 8224517830 9323395316 9869421396 11654244145 12336776745 13985092974 14804132094 16449035660 20977639461 23308488290 24673553490 27970185948 29608264188 34962732435 37010330235 41955278922 46616976580 49347106980 69925464870 74020660470 83910557844 104888197305 139850929740 148041320940 209776394610 419552789220 561734567789 1123469135578 1685203703367 2246938271156 2808672838945 3370407406734 5055611110101 5617345677890 6740814813468 8426018516835 10111222220202 11234691355780 16852037033670 20222444440404 25278055550505 33704074067340 50556111101010 101112222202020