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1010002200220 = 2251322345728429
BaseRepresentation
bin11101011001010001101…
…00101000011010011100
310120112222210022211202001
432230220310220122130
5113021441030401340
62051553312212044
7132653540023426
oct16545064503234
93515883284661
101010002200220
1135a380a02a72
121438b383a024
1374320576600
1436c549bd816
151b41490b29a
hexeb28d2869c

1010002200220 has 144 divisors (see below), whose sum is σ = 2401894676160. Its totient is φ = 355916740608.

The previous prime is 1010002200217. The next prime is 1010002200269. The reversal of 1010002200220 is 220022000101.

It is a Harshad number since it is a multiple of its sum of digits (10).

1010002200220 is a modest number, since divided by 2200220 gives 10100 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1010002200197 and 1010002200206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35512966 + ... + 35541394.

It is an arithmetic number, because the mean of its divisors is an integer number (16679824140).

Almost surely, 21010002200220 is an apocalyptic number.

1010002200220 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 1010002200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200947338080).

1010002200220 is an abundant number, since it is smaller than the sum of its proper divisors (1391892475940).

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

1010002200220 is a wasteful number, since it uses less digits than its factorization.

1010002200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28944 (or 28929 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1010002200220 its reverse (220022000101), we get a palindrome (1230024200321).

The spelling of 1010002200220 in words is "one trillion, ten billion, two million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 169 230 260 299 338 457 460 598 676 845 914 1196 1495 1690 1828 2285 2990 3380 3887 4570 5941 5980 7774 9140 10511 11882 15548 19435 21022 23764 28429 29705 38870 42044 52555 56858 59410 77233 77740 105110 113716 118820 136643 142145 154466 210220 273286 284290 308932 369577 386165 546572 568580 653867 683215 739154 772330 1307734 1366430 1478308 1544660 1776359 1847885 2615468 2732860 3269335 3552718 3695770 4804501 6538670 7105436 7391540 8500271 8881795 9609002 12992053 13077340 17000542 17763590 19218004 24022505 25984106 34001084 35527180 42501355 48045010 51968212 64960265 85002710 96090020 110503523 129920530 168896689 170005420 221007046 259841060 298817219 337793378 442014092 552517615 597634438 675586756 844483445 1105035230 1195268876 1494086095 1688966890 2195656957 2210070460 2988172190 3377933780 3884623847 4391313914 5976344380 7769247694 8782627828 10978284785 15538495388 19423119235 21956569570 38846238470 43913139140 50500110011 77692476940 101000220022 202000440044 252500550055 505001100110 1010002200220