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10002200111020 = 22513139556949697
BaseRepresentation
bin1001000110001101000110…
…0101011010011110101100
31022102012102112010110202201
42101203101211122132230
52302334001212023040
633134540341031244
72051430562105165
oct221432145323654
938365375113681
1010002200111020
113206a00229a97
1211565b06b5524
13577284bc8570
142681753d876c
151252a8182a9a
hex918d195a7ac

10002200111020 has 96 divisors (see below), whose sum is σ = 22787646235200. Its totient is φ = 3665818681344.

The previous prime is 10002200111011. The next prime is 10002200111023. The reversal of 10002200111020 is 2011100220001.

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

It is a junction number, because it is equal to n+sod(n) for n = 10002200110988 and 10002200111006.

It is not an unprimeable number, because it can be changed into a prime (10002200111023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201238812 + ... + 201288508.

It is an arithmetic number, because the mean of its divisors is an integer number (237371314950).

Almost surely, 210002200111020 is an apocalyptic number.

10002200111020 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 10002200111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11393823117600).

10002200111020 is an abundant number, since it is smaller than the sum of its proper divisors (12785446124180).

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

10002200111020 is a wasteful number, since it uses less digits than its factorization.

10002200111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55427 (or 55425 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10002200111020 its reverse (2011100220001), we get a palindrome (12013300331021).

The spelling of 10002200111020 in words is "ten trillion, two billion, two hundred million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 139 260 278 556 695 1390 1807 2780 3614 5569 7228 9035 11138 18070 22276 27845 36140 49697 55690 72397 99394 111380 144794 198788 248485 289588 361985 496970 646061 723970 774091 993940 1292122 1447940 1548182 2584244 3096364 3230305 3870455 6460610 6907883 7740910 10063183 12921220 13815766 15481820 20126366 27631532 34539415 40252732 50315915 69078830 89802479 100631830 138157660 179604958 201263660 276762593 359209916 449012395 553525186 898024790 1107050372 1383812965 1796049580 2767625930 3597913709 5535251860 7195827418 14391654836 17989568545 35979137090 38470000427 71958274180 76940000854 153880001708 192350002135 384700004270 500110005551 769400008540 1000220011102 2000440022204 2500550027755 5001100055510 10002200111020