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1102022101020 = 2235671911435261
BaseRepresentation
bin10000000010010101101…
…000101100100000011100
310220100111211000010212010
4100002111220230200130
5121023420124213040
62202132330111220
7142422064205541
oct20022550544034
93810454003763
101102022101020
11395401823465
121596b4b7b510
137cbc69c0159
143b4a3c76bc8
151d9ed27be80
hex10095a2c81c

1102022101020 has 96 divisors (see below), whose sum is σ = 3148115152896. Its totient is φ = 287970566400.

The previous prime is 1102022101003. The next prime is 1102022101051. The reversal of 1102022101020 is 201012202011.

It is a super-2 number, since 2×11020221010202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1102022100987 and 1102022101005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50190 + ... + 1485450.

It is an arithmetic number, because the mean of its divisors is an integer number (32792866176).

Almost surely, 21102022101020 is an apocalyptic number.

1102022101020 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 1102022101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574057576448).

1102022101020 is an abundant number, since it is smaller than the sum of its proper divisors (2046093051876).

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

1102022101020 is a wasteful number, since it uses less digits than its factorization.

1102022101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435531 (or 1435529 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1102022101020 its reverse (201012202011), we get a palindrome (1303034303031).

The spelling of 1102022101020 in words is "one trillion, one hundred two billion, twenty-two million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 191 201 268 335 382 402 573 670 764 804 955 1005 1146 1340 1910 2010 2292 2865 3820 4020 5730 11460 12797 25594 38391 51188 63985 76782 127970 153564 191955 255940 383910 767820 1435261 2870522 4305783 5741044 7176305 8611566 14352610 17223132 21528915 28705220 43057830 86115660 96162487 192324974 274134851 288487461 384649948 480812435 548269702 576974922 822404553 961624870 1096539404 1153949844 1370674255 1442437305 1644809106 1923249740 2741348510 2884874610 3289618212 4112022765 5482697020 5769749220 8224045530 16448091060 18367035017 36734070034 55101105051 73468140068 91835175085 110202210102 183670350170 220404420204 275505525255 367340700340 551011050510 1102022101020