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1010100011410 = 257171316479569
BaseRepresentation
bin11101011001011101010…
…01110000000110010010
310120120020121101011110201
432230232221300012102
5113022141100331120
62052011124445414
7132656135301310
oct16545651600622
93516217334421
101010100011410
1135a421139a66
1214392054986a
1374337901a59
1436c639a10b0
151b41d2cc40a
hexeb2ea70192

1010100011410 has 64 divisors (see below), whose sum is σ = 2216945998080. Its totient is φ = 323460034560.

The previous prime is 1010100011369. The next prime is 1010100011411. The reversal of 1010100011410 is 141100010101.

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 (1010100011411) 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, 3083895 + ... + 3395674.

It is an arithmetic number, because the mean of its divisors is an integer number (34639781220).

Almost surely, 21010100011410 is an apocalyptic number.

1010100011410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1010100011410 is an abundant number, since it is smaller than the sum of its proper divisors (1206845986670).

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

1010100011410 is a wasteful number, since it uses less digits than its factorization.

1010100011410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6479731.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1010100011410 its reverse (141100010101), we get a palindrome (1151200021511).

The spelling of 1010100011410 in words is "one trillion, ten billion, one hundred million, eleven thousand, four hundred ten".

Divisors: 1 2 5 7 10 14 17 34 35 70 85 119 131 170 238 262 595 655 917 1190 1310 1834 2227 4454 4585 9170 11135 15589 22270 31178 77945 155890 6479569 12959138 32397845 45356983 64795690 90713966 110152673 220305346 226784915 453569830 550763365 771068711 848823539 1101526730 1542137422 1697647078 3855343555 4244117695 5941764773 7710687110 8488235390 11883529546 14430000163 28860000326 29708823865 59417647730 72150000815 101010001141 144300001630 202020002282 505050005705 1010100011410