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22000102012100 = 22521995331214623
BaseRepresentation
bin1010000000010010011000…
…10000111111010011000100
32212220012002221021002220202
411000021030100333103010
510340422202103341400
6114442412441350032
74430312015432222
oct500111420772304
985805087232822
1022000102012100
117012211054043
122573925798318
13c377a6a146a4
14560b4c4a3b12
15282416cb44d5
hex14024c43f4c4

22000102012100 has 72 divisors (see below), whose sum is σ = 50258177437440. Its totient is φ = 8335999370880.

The previous prime is 22000102012067. The next prime is 22000102012103. The reversal of 22000102012100 is 121020100022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22000102012103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17505389 + ... + 18720011.

Almost surely, 222000102012100 is an apocalyptic number.

22000102012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22000102012100 is an abundant number, since it is smaller than the sum of its proper divisors (28258075425340).

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

22000102012100 is a wasteful number, since it uses less digits than its factorization.

22000102012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224189 (or 1224182 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 22000102012100 its reverse (121020100022), we get a palindrome (22121122112122).

The spelling of 22000102012100 in words is "twenty-two trillion, one hundred two million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 9533 19066 38132 47665 95330 181127 190660 238325 362254 476650 724508 905635 953300 1214623 1811270 2429246 3622540 4528175 4858492 6073115 9056350 12146230 18112700 23077837 24292460 30365575 46155674 60731150 92311348 115389185 121462300 230778370 461556740 576945925 1153891850 2307783700 11579001059 23158002118 46316004236 57895005295 115790010590 220001020121 231580021180 289475026475 440002040242 578950052950 880004080484 1100005100605 1157900105900 2200010201210 4400020402420 5500025503025 11000051006050 22000102012100