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1100100022020 = 223352388574881
BaseRepresentation
bin10000000000100011000…
…100100010111100000100
310220011112212021102011000
4100000203010202330010
5121011001101201040
62201213505213300
7142323334620636
oct20004304427404
93804485242130
101100100022020
1139460586801a
12159259331230
137c97b728abc
143b3608a2a56
151d93965c130
hex10023122f04

1100100022020 has 96 divisors (see below), whose sum is σ = 3571339242240. Its totient is φ = 280605219840.

The previous prime is 1100100022013. The next prime is 1100100022027. The reversal of 1100100022020 is 202200010011.

It is an interprime number because it is at equal distance from previous prime (1100100022013) and next prime (1100100022027).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1100100021993 and 1100100022011.

It is not an unprimeable number, because it can be changed into a prime (1100100022027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44275021 + ... + 44299860.

It is an arithmetic number, because the mean of its divisors is an integer number (37201450440).

Almost surely, 21100100022020 is an apocalyptic number.

1100100022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100100022020 is an abundant number, since it is smaller than the sum of its proper divisors (2471239220220).

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

1100100022020 is a wasteful number, since it uses less digits than its factorization.

1100100022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88574922 (or 88574914 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1100100022020 its reverse (202200010011), we get a palindrome (1302300032031).

The spelling of 1100100022020 in words is "one trillion, one hundred billion, one hundred million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 828 1035 1242 1380 2070 2484 3105 4140 6210 12420 88574881 177149762 265724643 354299524 442874405 531449286 797173929 885748810 1062898572 1328623215 1594347858 1771497620 2037222263 2391521787 2657246430 3188695716 3985869645 4074444526 4783043574 5314492860 6111666789 7971739290 8148889052 9566087148 10186111315 11957608935 12223333578 15943478580 18335000367 20372222630 23915217870 24446667156 30558333945 36670000734 40744445260 47830435740 55005001101 61116667890 73340001468 91675001835 110010002202 122233335780 183350003670 220020004404 275025005505 366700007340 550050011010 1100100022020