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1010002211010 = 2325134817179209
BaseRepresentation
bin11101011001010001101…
…00101011000011000010
310120112222210100101112200
432230220310223003002
5113021441031223020
62051553312334030
7132653540100042
oct16545064530302
93515883311480
101010002211010
1135a380a10091
121438b3844316
137432057b4b0
1436c549c3722
151b41490e590
hexeb28d2b0c2

1010002211010 has 96 divisors (see below), whose sum is σ = 2828609063280. Its totient is φ = 248562929664.

The previous prime is 1010002211003. The next prime is 1010002211017. The reversal of 1010002211010 is 101122000101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1010002211003) and next prime (1010002211017).

It can be written as a sum of positive squares in 8 ways, for example, as 273276972081 + 736725238929 = 522759^2 + 858327^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1010002210983 and 1010002211001.

It is not an unprimeable number, because it can be changed into a prime (1010002211017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5546286 + ... + 5725494.

Almost surely, 21010002211010 is an apocalyptic number.

1010002211010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1010002211010 is an abundant number, since it is smaller than the sum of its proper divisors (1818606852270).

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

1010002211010 is a wasteful number, since it uses less digits than its factorization.

1010002211010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184052 (or 184049 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1010002211010 its reverse (101122000101), we get a palindrome (1111124211111).

The spelling of 1010002211010 in words is "one trillion, ten billion, two million, two hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 4817 9634 14451 24085 28902 43353 48170 62621 72255 86706 125242 144510 179209 187863 216765 313105 358418 375726 433530 537627 563589 626210 896045 939315 1075254 1127178 1612881 1792090 1878630 2329717 2688135 2817945 3225762 4659434 5376270 5635890 6989151 8064405 11648585 13978302 16128810 20967453 23297170 34945755 41934906 69891510 104837265 209674530 863249753 1726499506 2589749259 4316248765 5179498518 7769247777 8632497530 11222246789 12948746295 15538495554 22444493578 25897492590 33666740367 38846238885 56111233945 67333480734 77692477770 101000221101 112222467890 168333701835 202000442202 336667403670 505001105505 1010002211010