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10222121110200 = 23352127134148571
BaseRepresentation
bin1001010011000000010111…
…1001011100101010111000
31100012020002012021202202120
42110300011321130222320
52314434401001011300
633423551055201240
72103344455544046
oct224600571345270
940166065252676
1010222121110200
1132911a497077a
121191147816220
13591c324219cc
14274a790b9396
1512ad7a46a3a0
hex94c05e5cab8

10222121110200 has 96 divisors (see below), whose sum is σ = 31938092021760. Its totient is φ = 2704435171200.

The previous prime is 10222121110193. The next prime is 10222121110211. The reversal of 10222121110200 is 201112122201.

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 10222121110200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66998086 + ... + 67150485.

It is an arithmetic number, because the mean of its divisors is an integer number (332688458560).

Almost surely, 210222121110200 is an apocalyptic number.

10222121110200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222121110200 is an abundant number, since it is smaller than the sum of its proper divisors (21715970911560).

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

10222121110200 is a wasteful number, since it uses less digits than its factorization.

10222121110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134148717 (or 134148708 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10222121110200 its reverse (201112122201), we get a palindrome (10423233232401).

The spelling of 10222121110200 in words is "ten trillion, two hundred twenty-two billion, one hundred twenty-one million, one hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 127 150 200 254 300 381 508 600 635 762 1016 1270 1524 1905 2540 3048 3175 3810 5080 6350 7620 9525 12700 15240 19050 25400 38100 76200 134148571 268297142 402445713 536594284 670742855 804891426 1073188568 1341485710 1609782852 2012228565 2682971420 3219565704 3353714275 4024457130 5365942840 6707428550 8048914260 10061142825 13414857100 16097828520 17036868517 20122285650 26829714200 34073737034 40244571300 51110605551 68147474068 80489142600 85184342585 102221211102 136294948136 170368685170 204442422204 255553027755 340737370340 408884844408 425921712925 511106055510 681474740680 851843425850 1022212111020 1277765138775 1703686851700 2044424222040 2555530277550 3407373703400 5111060555100 10222121110200