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10221042402200 = 2352755911305803
BaseRepresentation
bin1001010010111100010110…
…0110100000001110011000
31100012010022000111201120102
42110233011212200032120
52314430143323332300
633423252042514532
72103305646640550
oct224570546401630
940163260451512
1010221042402200
1132907a0a79463
121190aa6505a48
13591abcab7556
142749b5b20160
1512ad158dd0d5
hex94bc59a0398

10221042402200 has 96 divisors (see below), whose sum is σ = 27163648200960. Its totient is φ = 3503727926400.

The previous prime is 10221042402191. The next prime is 10221042402209. The reversal of 10221042402200 is 220424012201.

It is an interprime number because it is at equal distance from previous prime (10221042402191) and next prime (10221042402209).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221042402209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7174499 + ... + 8480301.

It is an arithmetic number, because the mean of its divisors is an integer number (282954668760).

Almost surely, 210221042402200 is an apocalyptic number.

10221042402200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221042402200 is an abundant number, since it is smaller than the sum of its proper divisors (16942605798760).

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

10221042402200 is a wasteful number, since it uses less digits than its factorization.

10221042402200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311417 (or 1311408 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10221042402200 its reverse (220424012201), we get a palindrome (10441466414401).

The spelling of 10221042402200 in words is "ten trillion, two hundred twenty-one billion, forty-two million, four hundred two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 5591 11182 22364 27955 39137 44728 55910 78274 111820 139775 156548 195685 223640 279550 313096 391370 559100 782740 978425 1118200 1305803 1565480 1956850 2611606 3913700 5223212 6529015 7827400 9140621 10446424 13058030 18281242 26116060 32645075 36562484 45703105 52232120 65290150 73124968 91406210 130580300 182812420 228515525 261160600 365624840 457031050 914062100 1828124200 7300744573 14601489146 29202978292 36503722865 51105212011 58405956584 73007445730 102210424022 146014891460 182518614325 204420848044 255526060055 292029782920 365037228650 408841696088 511052120110 730074457300 1022104240220 1277630300275 1460148914600 2044208480440 2555260600550 5110521201100 10221042402200