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1101201100020 = 223257979009991
BaseRepresentation
bin10000000001100100101…
…100110100110011110100
310220021101121010222012200
4100001210230310303310
5121020224440200040
62201515041144500
7142362534623610
oct20014454646364
93807347128180
101101201100020
1139502034923a
1215950602b130
137cac5896348
143b426c02340
151d9a1157630
hex10064b34cf4

1101201100020 has 144 divisors (see below), whose sum is σ = 3856853215488. Its totient is φ = 249108203520.

The previous prime is 1101201100019. The next prime is 1101201100063. The reversal of 1101201100020 is 200011021011.

It is a happy number.

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 = 1101201099975 and 1101201100011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4382776 + ... + 4627215.

Almost surely, 21101201100020 is an apocalyptic number.

1101201100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101201100020 is an abundant number, since it is smaller than the sum of its proper divisors (2755652115468).

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

1101201100020 is a wasteful number, since it uses less digits than its factorization.

1101201100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9010110 (or 9010105 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1101201100020 its reverse (200011021011), we get a palindrome (1301212121031).

The spelling of 1101201100020 in words is "one trillion, one hundred one billion, two hundred one million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 97 105 126 140 180 194 210 252 291 315 388 420 485 582 630 679 873 970 1164 1260 1358 1455 1746 1940 2037 2716 2910 3395 3492 4074 4365 5820 6111 6790 8148 8730 10185 12222 13580 17460 20370 24444 30555 40740 61110 122220 9009991 18019982 27029973 36039964 45049955 54059946 63069937 81089919 90099910 108119892 126139874 135149865 162179838 180199820 189209811 252279748 270299730 315349685 324359676 378419622 405449595 540599460 567629433 630699370 756839244 810899190 873969127 946049055 1135258866 1261398740 1621798380 1747938254 1892098110 2270517732 2621907381 2838147165 3495876508 3784196220 4369845635 5243814762 5676294330 6117783889 7865722143 8739691270 10487629524 11352588660 12235567778 13109536905 15731444286 17479382540 18353351667 24471135556 26219073810 30588919445 31462888572 36706703334 39328610715 52438147620 55060055001 61177838890 73413406668 78657221430 91766758335 110120110002 122355677780 157314442860 183533516670 220240220004 275300275005 367067033340 550600550010 1101201100020