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10011211201002 = 2311719319229253
BaseRepresentation
bin1001000110101110101010…
…1011111111100111101010
31022110001200112002021101010
42101223222223333213222
52303010430031413002
633143030440004350
72052200101105434
oct221535253774752
938401615067333
1010011211201002
11320a8048052a0
1211582a64606b6
1357808ca5c57b
1426878c099654
1512563430046c
hex91aeaaff9ea

10011211201002 has 64 divisors (see below), whose sum is σ = 22152758999040. Its totient is φ = 2990638190400.

The previous prime is 10011211200997. The next prime is 10011211201031. The reversal of 10011211201002 is 20010211211001.

It is a super-2 number, since 2×100112112010022 (a number of 27 digits) contains 22 as substring.

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, 43554208 + ... + 43783460.

It is an arithmetic number, because the mean of its divisors is an integer number (346136859360).

Almost surely, 210011211201002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011211201002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11076379499520).

10011211201002 is an abundant number, since it is smaller than the sum of its proper divisors (12141547798038).

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

10011211201002 is a wasteful number, since it uses less digits than its factorization.

10011211201002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238659.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10011211201002 its reverse (20010211211001), we get a palindrome (30021422412003).

Subtracting 10011211201002 from its reverse (20010211211001), we obtain a palindrome (9999000009999).

The spelling of 10011211201002 in words is "ten trillion, eleven billion, two hundred eleven million, two hundred one thousand, two".

Divisors: 1 2 3 6 11 22 33 66 71 142 213 426 781 1562 2343 4686 9319 18638 27957 55914 102509 205018 229253 307527 458506 615054 661649 687759 1323298 1375518 1984947 2521783 3969894 5043566 7278139 7565349 14556278 15130698 16276963 21834417 32553926 43668834 48830889 97661778 179046593 358093186 537139779 1074279558 2136408707 4272817414 6409226121 12818452242 23500495777 47000991554 70501487331 141002974662 151685018197 303370036394 455055054591 910110109182 1668535200167 3337070400334 5005605600501 10011211201002