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1012230210100 = 225283181673787
BaseRepresentation
bin11101011101011011001…
…11110100001000110100
310120202202001201110201111
432232231213310020310
5113041021413210400
62053002342204404
7133063002552154
oct16565547641064
93522661643644
101012230210100
1136031462384a
12144215a23704
13745b7034155
1436dc686c764
151b4e530c3ba
hexebad9f4234

1012230210100 has 72 divisors (see below), whose sum is σ = 2235288994848. Its totient is φ = 397803254400.

The previous prime is 1012230210041. The next prime is 1012230210119. The reversal of 1012230210100 is 10120322101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1165407 + ... + 1839193.

It is an arithmetic number, because the mean of its divisors is an integer number (31045680484).

Almost surely, 21012230210100 is an apocalyptic number.

1012230210100 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 1012230210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117644497424).

1012230210100 is an abundant number, since it is smaller than the sum of its proper divisors (1223058784748).

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

1012230210100 is a wasteful number, since it uses less digits than its factorization.

1012230210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674065 (or 674058 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1012230210100 its reverse (10120322101), we get a palindrome (1022350532201).

The spelling of 1012230210100 in words is "one trillion, twelve billion, two hundred thirty million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 181 332 362 415 724 830 905 1660 1810 2075 3620 4150 4525 8300 9050 15023 18100 30046 60092 75115 150230 300460 375575 673787 751150 1347574 1502300 2695148 3368935 6737870 13475740 16844675 33689350 55924321 67378700 111848642 121955447 223697284 243910894 279621605 487821788 559243210 609777235 1118486420 1219554470 1398108025 2439108940 2796216050 3048886175 5592432100 6097772350 10122302101 12195544700 20244604202 40489208404 50611510505 101223021010 202446042020 253057552525 506115105050 1012230210100