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1020212021200 = 245223313577181
BaseRepresentation
bin11101101100010010110…
…00000000011111010000
310121112100022220111010211
432312021120000133100
5113203343234134300
62100402352133504
7133464543045361
oct16661130003720
93545308814124
101020212021200
113637400a8649
12145882b37294
13752898792b8
143754295db68
151b810e134ba
hexed896007d0

1020212021200 has 120 divisors (see below), whose sum is σ = 2640132020736. Its totient is φ = 377750208000.

The previous prime is 1020212021119. The next prime is 1020212021239. The reversal of 1020212021200 is 21202120201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1503391 + ... + 2073790.

Almost surely, 21020212021200 is an apocalyptic number.

1020212021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020212021200 is an abundant number, since it is smaller than the sum of its proper divisors (1619919999536).

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

1020212021200 is a wasteful number, since it uses less digits than its factorization.

1020212021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3577253 (or 3577242 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1020212021200 its reverse (21202120201), we get a palindrome (1041414141401).

Subtracting from 1020212021200 its reverse (21202120201), we obtain a palindrome (999009900999).

The spelling of 1020212021200 in words is "one trillion, twenty billion, two hundred twelve million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 31 40 46 50 62 80 92 100 115 124 155 184 200 230 248 310 368 400 460 496 575 620 713 775 920 1150 1240 1426 1550 1840 2300 2480 2852 3100 3565 4600 5704 6200 7130 9200 11408 12400 14260 17825 28520 35650 57040 71300 142600 285200 3577181 7154362 14308724 17885905 28617448 35771810 57234896 71543620 82275163 89429525 110892611 143087240 164550326 178859050 221785222 286174480 329100652 357718100 411375815 443570444 554463055 658201304 715436200 822751630 887140888 1108926110 1316402608 1430872400 1645503260 1774281776 2056879075 2217852220 2550530053 2772315275 3291006520 4113758150 4435704440 5101060106 5544630550 6582013040 8227516300 8871408880 10202120212 11089261100 12752650265 16455032600 20404240424 22178522200 25505300530 32910065200 40808480848 44357044400 51010601060 63763251325 102021202120 127526502650 204042404240 255053005300 510106010600 1020212021200