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1011314220460 = 225711415350321
BaseRepresentation
bin11101011011101110000…
…01100101110110101100
310120200101020010101011021
432231313001211312230
5113032132420023320
62052331421303524
7133031211016345
oct16556701456654
93520336111137
101011314220460
1135a994570215
12143bbb104ba4
137449c32c84b
1436d3ad4d0cc
151b48ebc2daa
hexeb77065dac

1011314220460 has 48 divisors (see below), whose sum is σ = 2153866946112. Its totient is φ = 398792038400.

The previous prime is 1011314220409. The next prime is 1011314220461. The reversal of 1011314220460 is 640224131101.

It is a super-2 number, since 2×10113142204602 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1011314220461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20072100 + ... + 20122420.

It is an arithmetic number, because the mean of its divisors is an integer number (44872228044).

Almost surely, 21011314220460 is an apocalyptic number.

1011314220460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011314220460 is an abundant number, since it is smaller than the sum of its proper divisors (1142552725652).

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

1011314220460 is a wasteful number, since it uses less digits than its factorization.

1011314220460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64554 (or 64552 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 1011314220460 its reverse (640224131101), we get a palindrome (1651538351561).

The spelling of 1011314220460 in words is "one trillion, eleven billion, three hundred fourteen million, two hundred twenty thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 71 142 284 355 710 1420 14153 28306 50321 56612 70765 100642 141530 201284 251605 283060 503210 1004863 1006420 2009726 3572791 4019452 5024315 7145582 10048630 14291164 17863955 20097260 35727910 71455820 712193113 1424386226 2848772452 3560965565 7121931130 14243862260 50565711023 101131422046 202262844092 252828555115 505657110230 1011314220460