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10011010100 = 22527136171783
BaseRepresentation
bin10010101001011001…
…11110010000110100
3221211200111000010212
421110230332100310
5131000304310400
64333214404552
7503040116240
oct112454762064
927750430125
1010011010100
114277a55073
121b34800758
13c37073a20
146ad7cb420
153d8d35335
hex254b3e434

10011010100 has 144 divisors (see below), whose sum is σ = 26795451648. Its totient is φ = 3161410560.

The previous prime is 10011010091. The next prime is 10011010103. The reversal of 10011010100 is 101011001.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011010103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5613809 + ... + 5615591.

Almost surely, 210011010100 is an apocalyptic number.

10011010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13397725824).

10011010100 is an abundant number, since it is smaller than the sum of its proper divisors (16784441548).

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

10011010100 is a wasteful number, since it uses less digits than its factorization.

10011010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10011010100 its reverse (101011001), we get a palindrome (10112021101).

Subtracting from 10011010100 its reverse (101011001), we obtain a palindrome (9909999099).

It can be divided in two parts, 1001 and 1010100, that added together give a palindrome (1011101).

The spelling of 10011010100 in words is "ten billion, eleven million, ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 617 650 700 910 1234 1300 1783 1820 2275 2468 3085 3566 4319 4550 6170 7132 8021 8638 8915 9100 12340 12481 15425 16042 17276 17830 21595 23179 24962 30850 32084 35660 40105 43190 44575 46358 49924 56147 61700 62405 80210 86380 89150 92716 107975 112294 115895 124810 160420 162253 178300 200525 215950 224588 231790 249620 280735 312025 324506 401050 431900 463580 561470 579475 624050 649012 802100 811265 1100111 1122940 1158950 1248100 1403675 1622530 2200222 2317900 2807350 3245060 4056325 4400444 5500555 5614700 7700777 8112650 11001110 14301443 15401554 16225300 22002220 27502775 28602886 30803108 38503885 55005550 57205772 71507215 77007770 100110101 110011100 143014430 154015540 192519425 200220202 286028860 357536075 385038850 400440404 500550505 715072150 770077700 1001101010 1430144300 2002202020 2502752525 5005505050 10011010100