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1102133124020 = 2253143116132557
BaseRepresentation
bin10000000010011100010…
…000001101101110110100
310220100210112220200210002
4100002130100031232310
5121024132034432040
62202151333450432
7142424612661005
oct20023420155664
93810715820702
101102133124020
11395459463705
121597261a0a18
137cc139c3036
143b4b48d71ac
151da07daca15
hex1009c40dbb4

1102133124020 has 96 divisors (see below), whose sum is σ = 2397105156096. Its totient is φ = 425212070400.

The previous prime is 1102133123999. The next prime is 1102133124023. The reversal of 1102133124020 is 204213312011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1102133123983 and 1102133124001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102133124023) 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, 431024582 + ... + 431027138.

It is an arithmetic number, because the mean of its divisors is an integer number (24969845376).

Almost surely, 21102133124020 is an apocalyptic number.

1102133124020 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 1102133124020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198552578048).

1102133124020 is an abundant number, since it is smaller than the sum of its proper divisors (1294972032076).

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

1102133124020 is a wasteful number, since it uses less digits than its factorization.

1102133124020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4641 (or 4639 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1102133124020 its reverse (204213312011), we get a palindrome (1306346436031).

The spelling of 1102133124020 in words is "one trillion, one hundred two billion, one hundred thirty-three million, one hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 431 620 862 1613 1724 2155 2557 3226 4310 5114 6452 8065 8620 10228 12785 13361 16130 25570 26722 32260 50003 51140 53444 66805 79267 100006 133610 158534 200012 250015 267220 317068 396335 500030 695203 792670 1000060 1102067 1390406 1585340 2204134 2780812 3476015 4124441 4408268 5510335 6952030 8248882 11020670 13904060 16497764 20622205 21551293 22041340 34164077 41244410 43102586 68328154 82488820 86205172 107756465 127857671 136656308 170820385 215512930 255715342 341640770 431025860 511430684 639288355 683281540 1278576710 1777634071 2557153420 3555268142 7110536284 8888170355 17776340710 35552681420 55106656201 110213312402 220426624804 275533281005 551066562010 1102133124020