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10002021002010 = 2325611821861749
BaseRepresentation
bin1001000110001100011011…
…1010001010101100011010
31022102011222001002210101200
42101203012322022230122
52302333114334031020
633134510502055030
72051423255520402
oct221430672125432
938364861083350
1010002021002010
113206919115814
12115656071a476
13577256a770bb
142681596d3802
151252975a3590
hex918c6e8ab1a

10002021002010 has 48 divisors (see below), whose sum is σ = 26431570269000. Its totient is φ = 2623480917120.

The previous prime is 10002021001937. The next prime is 10002021002033. The reversal of 10002021002010 is 1020012020001.

It can be written as a sum of positive squares in 4 ways, for example, as 2322310831569 + 7679710170441 = 1523913^2 + 2771229^2 .

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 = 10002021001983 and 10002021002001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 910925385 + ... + 910936364.

Almost surely, 210002021002010 is an apocalyptic number.

10002021002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10002021002010 is an abundant number, since it is smaller than the sum of its proper divisors (16429549266990).

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

10002021002010 is a wasteful number, since it uses less digits than its factorization.

10002021002010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821861823 (or 1821861820 counting only the distinct ones).

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

Adding to 10002021002010 its reverse (1020012020001), we get a palindrome (11022033022011).

The spelling of 10002021002010 in words is "ten trillion, two billion, twenty-one million, two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2745 5490 1821861749 3643723498 5465585247 9109308745 10931170494 16396755741 18218617490 27327926235 32793511482 54655852470 81983778705 111133566689 163967557410 222267133378 333400700067 555667833445 666801400134 1000202100201 1111335666890 1667003500335 2000404200402 3334007000670 5001010501005 10002021002010