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1220020100010 = 233553229372299
BaseRepresentation
bin10001110000001110110…
…111010101101110101010
311022122002022001120021000
4101300032313111232222
5124442100121200020
62332245224455430
7154100143513365
oct21601667255652
94278068046230
101220020100010
114304535a4598
1217854631a576
138b0801ac42a
14430993630dc
1521b075c7090
hex11c0edd5baa

1220020100010 has 128 divisors (see below), whose sum is σ = 3329255520000. Its totient is φ = 317805486336.

The previous prime is 1220020099999. The next prime is 1220020100017. The reversal of 1220020100010 is 100010200221.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1220020099965 and 1220020100001.

It is not an unprimeable number, because it can be changed into a prime (1220020100017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3090841 + ... + 3463139.

It is an arithmetic number, because the mean of its divisors is an integer number (26009808750).

Almost surely, 21220020100010 is an apocalyptic number.

1220020100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220020100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664627760000).

1220020100010 is an abundant number, since it is smaller than the sum of its proper divisors (2109235419990).

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

1220020100010 is a wasteful number, since it uses less digits than its factorization.

1220020100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372597 (or 372591 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1220020100010 its reverse (100010200221), we get a palindrome (1320030300231).

The spelling of 1220020100010 in words is "one trillion, two hundred twenty billion, twenty million, one hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 90 106 135 159 229 265 270 318 458 477 530 687 795 954 1145 1374 1431 1590 2061 2290 2385 2862 3435 4122 4770 6183 6870 7155 10305 12137 12366 14310 20610 24274 30915 36411 60685 61830 72822 109233 121370 182055 218466 327699 364110 372299 546165 655398 744598 1092330 1116897 1638495 1861495 2233794 3276990 3350691 3722990 5584485 6701382 10052073 11168970 16753455 19731847 20104146 33506910 39463694 50260365 59195541 85256471 98659235 100520730 118391082 170512942 177586623 197318470 255769413 295977705 355173246 426282355 511538826 532759869 591955410 767308239 852564710 887933115 1065519738 1278847065 1534616478 1775866230 2301924717 2557694130 2663799345 3836541195 4518592963 4603849434 5327598690 7673082390 9037185926 11509623585 13555778889 22592964815 23019247170 27111557778 40667336667 45185929630 67778894445 81334673334 122002010001 135557788890 203336683335 244004020002 406673366670 610010050005 1220020100010