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100212210220000 = 255418127682931
BaseRepresentation
bin10110110010010001111001…
…001100010011101111100000
3111010211012020020021122202111
4112302101321030103233200
5101113334101304020000
6553044504232125104
730052043663224264
oct2662217114235740
9433735206248674
10100212210220000
1129a2683a16238a
12b2a596a536794
1343bbc81021968
141aa64227d40a4
15b8bb39b8bcba
hex5b2479313be0

100212210220000 has 120 divisors (see below), whose sum is σ = 247899161181672. Its totient is φ = 39863419200000.

The previous prime is 100212210219997. The next prime is 100212210220007. The reversal of 100212210220000 is 22012212001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212210220007) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 10221466 + ... + 17461465.

Almost surely, 2100212210220000 is an apocalyptic number.

100212210220000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212210220000 is an abundant number, since it is smaller than the sum of its proper divisors (147686950961672).

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

100212210220000 is an equidigital number, since it uses as much as digits as its factorization.

100212210220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27683142 (or 27683119 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100212210220000 its reverse (22012212001), we get a palindrome (100234222432001).

The spelling of 100212210220000 in words is "one hundred trillion, two hundred twelve billion, two hundred ten million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 181 200 250 362 400 500 625 724 800 905 1000 1250 1448 1810 2000 2500 2896 3620 4000 4525 5000 5792 7240 9050 10000 14480 18100 20000 22625 28960 36200 45250 72400 90500 113125 144800 181000 226250 362000 452500 724000 905000 1810000 3620000 27682931 55365862 110731724 138414655 221463448 276829310 442926896 553658620 692073275 885853792 1107317240 1384146550 2214634480 2768293100 3460366375 4429268960 5010610511 5536586200 6920732750 10021221022 11073172400 13841465500 17301831875 20042442044 22146344800 25053052555 27682931000 34603663750 40084884088 50106105110 55365862000 69207327500 80169768176 100212210220 110731724000 125265262775 138414655000 160339536352 200424420440 250530525550 276829310000 400848840880 501061051100 553658620000 626326313875 801697681760 1002122102200 1252652627750 2004244204400 2505305255500 3131631569375 4008488408800 5010610511000 6263263138750 10021221022000 12526526277500 20042442044000 25053052555000 50106105110000 100212210220000