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1002020222010 = 2354110315152379
BaseRepresentation
bin11101001010011010000…
…11110011010000111010
310112210101111211100002110
432211031003303100322
5112404114134101020
62044153254513150
7132251665233063
oct16451503632072
93483344740073
101002020222010
11356a55324665
121422466657b6
137364a9a3392
14366d888756a
151b0e8cc08e0
hexe94d0f343a

1002020222010 has 128 divisors (see below), whose sum is σ = 2503941672960. Its totient is φ = 256442688000.

The previous prime is 1002020221981. The next prime is 1002020222011. The reversal of 1002020222010 is 102220202001.

1002020222010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1002020222011) 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, 19104001 + ... + 19156379.

It is an arithmetic number, because the mean of its divisors is an integer number (19562044320).

Almost surely, 21002020222010 is an apocalyptic number.

1002020222010 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 1002020222010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251970836480).

1002020222010 is an abundant number, since it is smaller than the sum of its proper divisors (1501921450950).

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

1002020222010 is a wasteful number, since it uses less digits than its factorization.

1002020222010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52684.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1002020222010 its reverse (102220202001), we get a palindrome (1104240424011).

The spelling of 1002020222010 in words is "one trillion, two billion, twenty million, two hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 103 123 151 205 206 246 302 309 410 453 515 615 618 755 906 1030 1230 1510 1545 2265 3090 4223 4530 6191 8446 12382 12669 15553 18573 21115 25338 30955 31106 37146 42230 46659 52379 61910 63345 77765 92865 93318 104758 126690 155530 157137 185730 233295 261895 314274 466590 523790 637673 785685 1275346 1571370 1913019 2147539 3188365 3826038 4295078 5395037 6376730 6442617 7909229 9565095 10737695 10790074 12885234 15818458 16185111 19130190 21475390 23727687 26975185 32213085 32370222 39546145 47455374 53950370 64426170 79092290 80925555 118638435 161851110 221196517 237276870 324278389 442393034 648556778 663589551 814650587 972835167 1105982585 1327179102 1621391945 1629301174 1945670334 2211965170 2443951761 3242783890 3317947755 4073252935 4864175835 4887903522 6635895510 8146505870 9728351670 12219758805 24439517610 33400674067 66801348134 100202022201 167003370335 200404044402 334006740670 501010111005 1002020222010