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1122001002010 = 257311992598247
BaseRepresentation
bin10000010100111100011…
…110001001111000011010
310222021002011211110201001
4100110330132021320122
5121340324224031020
62215235023215214
7144030142105360
oct20247436117032
93867064743631
101122001002010
113a2924351489
1216154ba4750a
1381a5bbbb365
143c43b429630
151e2bc22b50a
hex1053c789e1a

1122001002010 has 64 divisors (see below), whose sum is σ = 2394545356800. Its totient is φ = 370405949760.

The previous prime is 1122001001981. The next prime is 1122001002013. The reversal of 1122001002010 is 102001002211.

It is a super-2 number, since 2×11220010020102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1122001002013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 867294 + ... + 1730953.

It is an arithmetic number, because the mean of its divisors is an integer number (37414771200).

Almost surely, 21122001002010 is an apocalyptic number.

1122001002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1122001002010 is an abundant number, since it is smaller than the sum of its proper divisors (1272544354790).

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

1122001002010 is a wasteful number, since it uses less digits than its factorization.

1122001002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598491.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1122001002010 its reverse (102001002211), we get a palindrome (1224002004221).

The spelling of 1122001002010 in words is "one trillion, one hundred twenty-two billion, one million, two thousand, ten".

Divisors: 1 2 5 7 10 14 31 35 62 70 155 199 217 310 398 434 995 1085 1393 1990 2170 2786 6169 6965 12338 13930 30845 43183 61690 86366 215915 431830 2598247 5196494 12991235 18187729 25982470 36375458 80545657 90938645 161091314 181877290 402728285 517051153 563819599 805456570 1034102306 1127639198 2585255765 2819097995 3619358071 5170511530 5638195990 7238716142 16028585743 18096790355 32057171486 36193580710 80142928715 112200100201 160285857430 224400200402 561000501005 1122001002010