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21102110221200 = 24352165671061453
BaseRepresentation
bin1001100110001001101111…
…10010001010001110010000
32202201100020100021121200020
410303010313302022032100
510231214110204034300
6112514101533023440
74305401651233551
oct463046762121620
982640210247606
1021102110221200
1167a639a0a8498
122449892024b80
13ba0bc73182b8
1452d4c1ab2328
15268daac1c8a0
hex133137c8a390

21102110221200 has 120 divisors (see below), whose sum is σ = 67601236987968. Its totient is φ = 5626884426240.

The previous prime is 21102110221123. The next prime is 21102110221201. The reversal of 21102110221200 is 212201120112.

It is a tau number, because it is divible by the number of its divisors (120).

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 21102110221200.

It is not an unprimeable number, because it can be changed into a prime (21102110221201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19349674 + ... + 20411126.

Almost surely, 221102110221200 is an apocalyptic number.

21102110221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21102110221200 is an abundant number, since it is smaller than the sum of its proper divisors (46499126766768).

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

21102110221200 is a wasteful number, since it uses less digits than its factorization.

21102110221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078041 (or 1078030 counting only the distinct ones).

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

Adding to 21102110221200 its reverse (212201120112), we get a palindrome (21314311341312).

The spelling of 21102110221200 in words is "twenty-one trillion, one hundred two billion, one hundred ten million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 16567 33134 49701 66268 82835 99402 132536 165670 198804 248505 265072 331340 397608 414175 497010 662680 795216 828350 994020 1061453 1242525 1325360 1656700 1988040 2122906 2485050 3184359 3313400 3976080 4245812 4970100 5307265 6368718 6626800 8491624 9940200 10614530 12737436 15921795 16983248 19880400 21229060 25474872 26536325 31843590 42458120 50949744 53072650 63687180 79608975 84916240 106145300 127374360 159217950 212290600 254748720 318435900 424581200 636871800 1273743600 17585091851 35170183702 52755275553 70340367404 87925459255 105510551106 140680734808 175850918510 211021102212 263776377765 281361469616 351701837020 422042204424 439627296275 527552755530 703403674040 844084408848 879254592550 1055105511060 1318881888825 1406807348080 1758509185100 2110211022120 2637763777650 3517018370200 4220422044240 5275527555300 7034036740400 10551055110600 21102110221200