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1022020010200 = 235274715532219
BaseRepresentation
bin11101101111101010010…
…00111100000011011000
310121201000022221211210101
432313311020330003120
5113221044110311300
62101302015425144
7133560415515340
oct16676510740330
93551008854711
101022020010200
11364488719532
121460a85251b4
13754b7305787
1437674b15d20
151b8b99e8b6a
hexedf523c0d8

1022020010200 has 96 divisors (see below), whose sum is σ = 2773433203200. Its totient is φ = 342951373440.

The previous prime is 1022020010173. The next prime is 1022020010203. The reversal of 1022020010200 is 20100202201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022020010203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7700310 + ... + 7831909.

It is an arithmetic number, because the mean of its divisors is an integer number (28889929200).

Almost surely, 21022020010200 is an apocalyptic number.

1022020010200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022020010200 is an abundant number, since it is smaller than the sum of its proper divisors (1751413193000).

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

1022020010200 is a wasteful number, since it uses less digits than its factorization.

1022020010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15532289 (or 15532280 counting only the distinct ones).

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

Adding to 1022020010200 its reverse (20100202201), we get a palindrome (1042120212401).

The spelling of 1022020010200 in words is "one trillion, twenty-two billion, twenty million, ten thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 47 50 56 70 94 100 140 175 188 200 235 280 329 350 376 470 658 700 940 1175 1316 1400 1645 1880 2350 2632 3290 4700 6580 8225 9400 13160 16450 32900 65800 15532219 31064438 62128876 77661095 108725533 124257752 155322190 217451066 310644380 388305475 434902132 543627665 621288760 730014293 776610950 869804264 1087255330 1460028586 1553221900 2174510660 2718138325 2920057172 3106443800 3650071465 4349021320 5110100051 5436276650 5840114344 7300142930 10220200102 10872553300 14600285860 18250357325 20440400204 21745106600 25550500255 29200571720 36500714650 40880800408 51101000510 73001429300 102202001020 127752501275 146002858600 204404002040 255505002550 511010005100 1022020010200