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21220122020100 = 223521493242319553
BaseRepresentation
bin1001101001100101100011…
…10101011100100100000100
32210010121211210022010222220
410310302301311130210010
510240132302214120400
6113044220043252340
74320050256045363
oct464626165344404
983117753263886
1021220122020100
116841448744703
122468727b1a0b0
13bac0836298c3
145350b8d517da
1526beb63917a0
hex134cb1d5c904

21220122020100 has 144 divisors (see below), whose sum is σ = 61466509141632. Its totient is φ = 5652286115840.

The previous prime is 21220122020099. The next prime is 21220122020117. The reversal of 21220122020100 is 102022102212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21220122020100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1085251924 + ... + 1085271476.

It is an arithmetic number, because the mean of its divisors is an integer number (426850757928).

Almost surely, 221220122020100 is an apocalyptic number.

21220122020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21220122020100 is an abundant number, since it is smaller than the sum of its proper divisors (40246387121532).

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

21220122020100 is a wasteful number, since it uses less digits than its factorization.

21220122020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23486 (or 23479 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21220122020100 its reverse (102022102212), we get a palindrome (21322144122312).

The spelling of 21220122020100 in words is "twenty-one trillion, two hundred twenty billion, one hundred twenty-two million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1493 2423 2986 4479 4846 5972 7269 7465 8958 9692 12115 14538 14930 17916 19553 22395 24230 29076 29860 36345 37325 39106 44790 48460 58659 60575 72690 74650 78212 89580 97765 111975 117318 121150 145380 149300 181725 195530 223950 234636 242300 293295 363450 391060 447900 488825 586590 726900 977650 1173180 1466475 1955300 2932950 3617539 5865900 7235078 10852617 14470156 18087695 21705234 29192629 36175390 43410468 47376919 54263085 58385258 72350780 87577887 90438475 94753838 108526170 116770516 142130757 145963145 175155774 180876950 189507676 217052340 236884595 271315425 284261514 291926290 350311548 361753900 437889435 473769190 542630850 568523028 583852580 710653785 729815725 875778870 947538380 1085261700 1184422975 1421307570 1459631450 1751557740 2189447175 2368845950 2842615140 2919262900 3553268925 4378894350 4737691900 7106537850 8757788700 14213075700 70733740067 141467480134 212201220201 282934960268 353668700335 424402440402 707337400670 848804880804 1061006101005 1414674801340 1768343501675 2122012202010 3536687003350 4244024404020 5305030505025 7073374006700 10610061010050 21220122020100