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1102005455320 = 2357112179164201
BaseRepresentation
bin10000000010010100101…
…001001100100111011000
310220100110122200110020201
4100002110221030213120
5121023401344032240
62202130533231544
7142421502550030
oct20022451144730
93810418613221
101102005455320
113953a3394290
121596ab4925b4
137cbc3412723
143b4a19828c0
151d9eba8ed9a
hex10094a4c9d8

1102005455320 has 128 divisors (see below), whose sum is σ = 3092777510400. Its totient is φ = 343322496000.

The previous prime is 1102005455303. The next prime is 1102005455329. The reversal of 1102005455320 is 235545002011.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102005455329) 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, 6629220 + ... + 6793420.

It is an arithmetic number, because the mean of its divisors is an integer number (24162324300).

Almost surely, 21102005455320 is an apocalyptic number.

1102005455320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102005455320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546388755200).

1102005455320 is an abundant number, since it is smaller than the sum of its proper divisors (1990772055080).

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

1102005455320 is a wasteful number, since it uses less digits than its factorization.

1102005455320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166409 (or 166405 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 1102005455320 in words is "one trillion, one hundred two billion, five million, four hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 2179 3080 4358 8716 10895 15253 17432 21790 23969 30506 43580 47938 61012 76265 87160 95876 119845 122024 152530 164201 167783 191752 239690 305060 328402 335566 479380 610120 656804 671132 821005 838915 958760 1149407 1313608 1342264 1642010 1677830 1806211 2298814 3284020 3355660 3612422 4597628 5747035 6568040 6711320 7224844 9031055 9195256 11494070 12643477 14449688 18062110 22988140 25286954 36124220 45976280 50573908 63217385 72248440 101147816 126434770 252869540 357793979 505739080 715587958 1431175916 1788969895 2504557853 2862351832 3577939790 3935733769 5009115706 7155879580 7871467538 10018231412 12522789265 14311759160 15742935076 19678668845 20036462824 25045578530 27550136383 31485870152 39357337690 50091157060 55100272766 78714675380 100182314120 110200545532 137750681915 157429350760 220401091064 275501363830 551002727660 1102005455320