Search a number
-
+
100001101012010 = 251110143320787527
BaseRepresentation
bin10110101111001101010010…
…000110100101110000101010
3111010002000022200001201211022
4112233031102012211300222
5101101404223324341020
6552403512133132442
730030561335451632
oct2657152206456052
9433060280051738
10100001101012010
1129955257552860
12b270a7248a122
1343a50a928c443
141a9a1171356c2
15b863d12a5625
hex5af3521a5c2a

100001101012010 has 64 divisors (see below), whose sum is σ = 198768014532864. Its totient is φ = 35920844928000.

The previous prime is 100001101011961. The next prime is 100001101012049. The reversal of 100001101012010 is 10210101100001.

It is a happy number.

It is a super-2 number, since 2×1000011010120102 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5583134 + ... + 15204393.

It is an arithmetic number, because the mean of its divisors is an integer number (3105750227076).

Almost surely, 2100001101012010 is an apocalyptic number.

100001101012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100001101012010 is a deficient number, since it is larger than the sum of its proper divisors (98766913520854).

100001101012010 is a wasteful number, since it uses less digits than its factorization.

100001101012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20788079.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100001101012010 its reverse (10210101100001), we get a palindrome (110211202112011).

The spelling of 100001101012010 in words is "one hundred trillion, one billion, one hundred one million, twelve thousand, ten".

Divisors: 1 2 5 10 11 22 55 101 110 202 433 505 866 1010 1111 2165 2222 4330 4763 5555 9526 11110 23815 43733 47630 87466 218665 437330 481063 962126 2405315 4810630 20787527 41575054 103937635 207875270 228662797 457325594 1143313985 2099540227 2286627970 4199080454 9000999191 10497701135 18001998382 20995402270 23094942497 45004995955 46189884994 90009991910 99010991101 115474712485 198021982202 230949424970 495054955505 909100918291 990109911010 1818201836582 4545504591455 9091009182910 10000110101201 20000220202402 50000550506005 100001101012010