Search a number
-
+
100201021201120 = 255789465197501
BaseRepresentation
bin10110110010000111011110…
…010001100101101011100000
3111010210010100110011121100211
4112302013132101211223200
5101113143142411413440
6553035414052423504
730051166500151060
oct2662073621455340
9433703313147324
10100201021201120
1129a22018261944
12b2a3767317b94
1343babb9bb6328
141aa5a8079d3a0
15b8b6d2711eea
hex5b21de465ae0

100201021201120 has 48 divisors (see below), whose sum is σ = 270542757246048. Its totient is φ = 34354635840000.

The previous prime is 100201021201063. The next prime is 100201021201181. The reversal of 100201021201120 is 21102120102001.

It is a self number, because there is not a number n which added to its sum of digits gives 100201021201120.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 44732597631 + ... + 44732599870.

It is an arithmetic number, because the mean of its divisors is an integer number (5636307442626).

Almost surely, 2100201021201120 is an apocalyptic number.

100201021201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201021201120 is an abundant number, since it is smaller than the sum of its proper divisors (170341736044928).

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

100201021201120 is an equidigital number, since it uses as much as digits as its factorization.

100201021201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89465197523 (or 89465197515 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100201021201120 its reverse (21102120102001), we get a palindrome (121303141303121).

The spelling of 100201021201120 in words is "one hundred trillion, two hundred one billion, twenty-one million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 89465197501 178930395002 357860790004 447325987505 626256382507 715721580008 894651975010 1252512765014 1431443160016 1789303950020 2505025530028 2862886320032 3131281912535 3578607900040 5010051060056 6262563825070 7157215800080 10020102120112 12525127650140 14314431600160 20040204240224 25050255300280 50100510600560 100201021201120