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1020210212220 = 223547515370207
BaseRepresentation
bin11101101100010010100…
…01000110110101111100
310121112100012111120200120
432312021101012311330
5113203342303242340
62100402245254540
7133464521502363
oct16661121066574
93545305446616
101020210212220
1136373a082521
12145882404450
1375289394ab4
143754260c7da
151b810ba74d0
hexed89446d7c

1020210212220 has 96 divisors (see below), whose sum is σ = 2917974786048. Its totient is φ = 266212165632.

The previous prime is 1020210212183. The next prime is 1020210212237. The reversal of 1020210212220 is 222120120201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1020210212220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14496357 + ... + 14566563.

It is an arithmetic number, because the mean of its divisors is an integer number (30395570688).

Almost surely, 21020210212220 is an apocalyptic number.

1020210212220 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 1020210212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458987393024).

1020210212220 is an abundant number, since it is smaller than the sum of its proper divisors (1897764573828).

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

1020210212220 is a wasteful number, since it uses less digits than its factorization.

1020210212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75419 (or 75417 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1020210212220 its reverse (222120120201), we get a palindrome (1242330332421).

The spelling of 1020210212220 in words is "one trillion, twenty billion, two hundred ten million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 5153 10306 15459 20612 25765 30918 51530 61836 70207 77295 103060 140414 154590 210621 242191 280828 309180 351035 421242 484382 702070 726573 842484 968764 1053105 1210955 1404140 1453146 2106210 2421910 2906292 3299729 3632865 4212420 4843820 6599458 7265730 9899187 13198916 14531460 16498645 19798374 32997290 39596748 49495935 65994580 98991870 197983740 361776671 723553342 1085330013 1447106684 1808883355 2170660026 3617766710 4341320052 5426650065 7235533420 10853300130 17003503537 21706600260 34007007074 51010510611 68014014148 85017517685 102021021222 170035035370 204042042444 255052553055 340070070740 510105106110 1020210212220